GAME THEORY
Download as PPTX, PDF2 likes215 views
Game theory is a branch of applied mathematics used in economics and other social sciences to model strategic interactions between players. It was invented in 1944 by John von Neumann and Oskar Morgenstern. Some key methods in game theory include minimax-maxmin principle, mixed strategy/odds method, and graphical game theory. Game theory is used to understand competitor strategies in business and analyze two-person and multi-person games, including zero-sum games where one player's gain results in another's loss.
1 of 17
Downloaded 13 times
Recommended
Game theory
Game theory属 叩
油
Game theory is the study of strategic decision making between interdependent actors. The document outlines the basics of game theory, including its history, key concepts, types of games, examples, and applications. It provides informal definitions of players, strategies, payoffs, information, and rationality. Formal definitions include the game structure and Nash equilibrium. Common games are cooperative vs non-cooperative, and zero-sum vs non-zero-sum. Examples illustrated include decision making under uncertainty, the prisoner's dilemma, and applications in economics, computer science, and biology.Game theory
Game theoryDe La Salle University-Manila
油
This document provides an overview of game theory and two-person zero-sum games. It defines key concepts such as players, strategies, payoffs, and classifications of games. It also describes the assumptions and solutions for pure strategy and mixed strategy games. Pure strategy games have a saddle point solution found using minimax and maximin rules. Mixed strategy games do not have a saddle point and require determining the optimal probabilities that players select each strategy.Game theory
Game theoryPankaj Sabherwal
油
The document provides an overview of game theory, including its basic terminology and solution methods for different types of games. It discusses pure and mixed strategy games, zero-sum and non-zero sum games, and approaches like Nash equilibrium. Limitations of game theory are noted, such as its assumptions of complete information and risk averse players not reflecting real world situations.Game theory
Game theoryPT Education, Indore
油
This document provides an overview of game theory concepts including its assumptions, classifications, elements, significance, and limitations. It also describes methods for solving different types of games such as the prisoner's dilemma, 2-person zero-sum games, and pure strategy games. Game theory analyzes strategic decision making among interdependent parties and can provide insights into situations involving conflict or competition between rational opponents.Game theory and its applications
Game theory and its applicationsEranga Weerasekara
油
Game theory is a branch of applied mathematics that analyzes strategic interactions between rational decision-makers. It was developed by John von Neumann and Oskar Morgenstern in the 1940s. Game theory has applications in economics, military strategy, politics, and other domains involving conflict and cooperation between intelligent decision-makers. The document defines key concepts in game theory like Nash equilibrium, zero-sum games, prisoner's dilemma, and mixed strategies. It also discusses assumptions of game theory and provides examples of classic game theory models.Game theory (Operation Research)
Game theory (Operation Research)kashif ayaz
油
Game theory is a mathematical approach that analyzes strategic interactions between parties. It is used to understand situations where decision-makers are impacted by others' choices. A game has players, strategies, payoffs, and information. The Nash equilibrium predicts outcomes as the strategies where no player benefits by changing alone given others' choices. For example, in the Prisoner's Dilemma game about two suspects, confessing dominates remaining silent no matter what the other does, leading both to confess for a worse joint outcome than remaining silent.Two persons zero sum game
Two persons zero sum gameYasir Hashmi
油
The document discusses different classifications and concepts related to game theory, including:
1) Games can be zero-sum, where one player's gains equal another's losses, or non-zero-sum. They can involve 2 players or more.
2) Strategies can be pure, where players always choose the same action, or mixed, where players vary their actions randomly.
3) A payoff matrix outlines the potential payoffs for each combination of strategies between players in a 2-person, zero-sum game. The value of the game is when the maximin and minimax values are equal.Game theory ppt
Game theory pptAnushka Kapoor
油
This document provides an overview of game theory, which was developed in 1928 to analyze competitive situations. It describes various types of games, such as zero-sum, non-zero-sum, pure-strategy, and mixed-strategy games. Methods for solving different types of games are presented, including the saddle point method for 2x2 games, dominance method, graphical method, and algebraic method. Limitations of game theory in assuming perfect information and rational behavior are also noted.Game theory
Game theoryNEELAM KUSHWAHA
油
This document provides an overview of game theory concepts. It defines game theory as analyzing situations of conflict and competition involving decision making by two or more participants. Some key points:
- Game theory was developed in the 20th century, with a seminal 1944 book discussing its application to business strategy.
- Basic concepts include players, pure and mixed strategies, zero-sum vs. non-zero-sum games, and payoff matrices to represent outcomes.
- Solutions include finding equilibrium points using minimax and maximin principles for pure strategies or solving systems of equations for mixed strategies when no equilibrium exists.
- Dominance rules can reduce game matrices, and graphical or algebraic methods solve for mixed strategies without saddlesGame theory
Game theoryKULDEEP MATHUR
油
Game theory is the study of strategic decision making between two or more players under conditions of conflict or competition. A game involves players following a set of rules and receiving payoffs depending on the strategies chosen. Strategies include pure strategies that always select a particular action and mixed strategies that randomly select among pure strategies. The optimal strategies are those that maximize the minimum payoff for one player and minimize the maximum payoff for the other player. When the maximin and minimax values are equal, there is a saddle point representing the optimal strategies for both players.Game theory
Game theoryamaroks
油
Game theory is a branch of applied mathematics that analyzes strategic interactions between agents. It includes concepts like Nash equilibrium, mixed strategies, and coordination games. Game theory is used in economics, political science, biology, and other social sciences to model how individuals make decisions in strategic situations where outcomes depend on the decisions of others.Game theory application
Game theory applicationshakebaumar
油
The document provides an introduction to game theory and its applications in business. It begins with an opening experiment to demonstrate game theory concepts. It then discusses how actual human behavior in experiments does not always match the theoretical predictions of rational behavior in game theory. The document outlines key elements of games, provides examples of where game theory is applied, and discusses some classic games like the Prisoner's Dilemma and how changing the structural rules of a game can influence outcomes.Game theory
Game theoryAbu Bashar
油
Game theory is the study of how optimal strategies are formulated in conflict situations involving two or more rational opponents with competing interests. It considers how the strategies of one player will impact the outcomes for others. Game theory models classify games based on the number of players, whether the total payoff is zero-sum, and the types of strategies used. The minimax-maximin principle provides a way to determine optimal strategies without knowing the opponent's strategy by having each player maximize their minimum payoff or minimize their maximum loss. A saddle point exists when the maximin and minimax values are equal, indicating optimal strategies for both players.Game theory
Game theorysivadarla
油
This document provides an outline for game theory. It introduces two-player zero-sum games and discusses finding optimal solutions through the minimax-maximin criterion. Pure and mixed strategy solutions are covered. Graphical and algebraic methods are summarized as ways to solve games, with examples provided. Dominance properties are also explained as a way to reduce game matrices.Lecture 1 - Game Theory
Lecture 1 - Game TheoryLuke Dicken
油
This is the first of an 8 lecture series that I presented at University of Strathclyde in 2011/2012 as part of the final year AI course.
This lecture introduces the concept of a game, and the branch of mathematics known as Game Theory.Game theory
Game theoryPANKAJ PANDEY
油
Game theory is used to model strategic decision-making between competitors. It originated in the 20th century and applies concepts like players, strategies, and payoffs. Players select strategies and receive payoffs based on the strategies of all players. The optimal strategy maximizes a player's payoff. Techniques like minimax, maximin, and solving dominance-reduced payoff matrices can help determine optimal strategies and the value of a game.Applications of game theory on event management 
Applications of game theory on event management Sameer Dhurat
油
Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers." Game theory is mainly used in economics, political science, and psychology, as well as logic, computer science and biology.
In this presentation ,discussed regarding Application of game theory on Event Management with the help of Prisoner's Dilemma Gamegt_2007
gt_2007webuploader
油
Game theory is a mathematical approach to modeling strategic interactions between rational decision-makers. It assumes humans seek the best outcomes and makes predictions based on payoff matrices showing players' rewards for different strategy combinations. Common applications include economics, politics, and analyzing conflict and cooperation situations like the Prisoner's Dilemma. Game theory also studies concepts like Nash equilibrium, mixed strategies, and evolutionary stable strategies.Game Theory
Game TheoryVipin Maurya
油
The document discusses key concepts in game theory including:
- Players are the competitors in a game which can be individuals, groups, or organizations.
- Games can involve two players (two-person game) or more than two players (n-person game).
- Games where the sum of gains and losses is zero are called zero-sum games, all other games are non-zero-sum.
- Strategies are the decisions or actions players take. Pure strategies commit to one action, while mixed strategies randomly choose between actions.
- Payoff matrices represent strategy outcomes and the quantitative payoffs/satisfaction received by players.Game theory
Game theoryjaimin kemkar
油
This document provides an overview of game theory. It defines game theory as a mathematical theory that models strategic interactions between competitors. It discusses the key assumptions of game theory, such as players making independent decisions and fixed payoffs. It also outlines common applications of game theory, mathematical formulations using payoff matrices, limitations, important terms, types of games, steps to solve games, and provides an example solved using minimax and maximin strategies.Game theory
Game theoryMd Asif uddin
油
Game theory is used to analyze competitive situations where multiple decision makers try to maximize their own payoffs. It was developed by Von Neumann in 1928 to determine the best course of action for firms considering their rivals' responses. A competitive situation with multiple players choosing strategies simultaneously is called a game. Game theory focuses on two-person zero-sum games where one player's gain equals the other's loss. These games can be solved using pure or mixed strategies to find a saddle point equilibrium. Techniques like dominance rules and algebraic methods are used to solve games of varying complexity.Game theory project
Game theory projectAagam Shah
油
Game theory is the study of strategic decision making where outcomes depend on the choices of multiple players. It originated in the 1920s and was popularized by John von Neumann. Game theory analyzes cooperative and non-cooperative games with various properties like the number of players, information available, and whether choices are simultaneous or sequential. Important concepts in game theory include Nash equilibrium, where no player can benefit by changing strategy alone, and prisoner's dilemma, where defecting dominates but collective cooperation yields higher payoffs. Game theory is now used widely in economics, politics, biology, and other fields involving interdependent actors.Game theory
Game theoryaman_jindal
油
Game theory is the study of strategic decision making where outcomes depend on the actions of multiple players. It has applications in war, business, and biology. Key concepts include the number of players, their strategies and payoffs, optimal strategies, and the value of the game. Common solution methods are maximin, minimax, finding saddle points or equilibrium points, and mixed strategies using odds or dominance methods. Graphic methods can also solve games through lower envelopes and maximin values.Game 
Game VISHNU VISWANATH
油
The document discusses various concepts in game theory including the Prisoner's Dilemma, Battle of the Sexes game, Nash Equilibrium, mixed strategies, dynamic games, auctions, and applications in computer science. It provides examples and explanations of these game theory concepts and how they apply to situations involving strategic decision making between multiple players.Game theory
Game theoryHarry Potter
油
1) Game theory analyzes strategic decision-making between players in situations called games. Games can be modeled using normal or extensive form.
2) In normal form, all choices are made simultaneously. Players choose strategies and receive payoffs. Extensive form models sequential choices using game trees.
3) Backward induction analyzes extensive form games by reasoning backwards from the end of the game tree to determine the optimal strategy sequence.Game theory
Game theorySoumya Bilwar
油
This document provides an overview of game theory, including:
- Defining game theory as a way to study strategic decision-making involving multiple participants with conflicting goals.
- The major assumptions of game theory include players having different objectives, making decisions simultaneously, and knowing potential payoffs.
- Common types of games are cooperative/non-cooperative, zero-sum/non-zero-sum, and simultaneous/sequential games.
- Popular examples used in game theory include the Prisoner's Dilemma and Chicken games, which demonstrate outcomes like Nash equilibrium.
- Game theory has applications in economics, politics, biology, and other fields for modeling interactions and predicting outcomes.Operations Research - Game Theory
Operations Research - Game TheoryHisham Al Kurdi, EAVA, DMC-D-4K, HCCA-P, HCAA-D
油
Game theory deals with decision making situations where two opponents have conflicting objectives. A game is represented by a payoff matrix showing the payoff to one player for each combination of strategies. The optimal solution, known as a saddle point, is the strategies where neither player can increase their payoff by changing only their own strategy. Mixed strategies, where players randomize between pure strategies, may be required if a pure strategy saddle point does not exist. Graphical and linear programming methods can be used to solve games with mixed strategies.Unit II A - Game Theory
Unit II A - Game TheorySSN College of Engineering, Kalavakkam
油
This document outlines the key concepts in game theory. It introduces two-person zero-sum games and discusses optimal strategies, including the maximin and minimax principles. A game has a saddle point solution when the maximin value for one player equals the minimax value for the other player, indicating their optimal strategies and the game's value.Dinesh kumar
Dinesh kumarDINESHKUMARDEI
油
The document discusses the topic of game theory. It defines game theory as a branch of applied mathematics used in social sciences like economics to model strategic interactions between parties. It notes that game theory is a tool used by players to understand competitor strategies. The document then outlines several methods of game theory, including minimax-maxmin principal, mixed strategies, and zero-sum games. It provides examples to illustrate the minimax-maxmin principal and mixed strategies methods.
More Related Content
What's hot (20)
Game theory
Game theoryNEELAM KUSHWAHA
油
This document provides an overview of game theory concepts. It defines game theory as analyzing situations of conflict and competition involving decision making by two or more participants. Some key points:
- Game theory was developed in the 20th century, with a seminal 1944 book discussing its application to business strategy.
- Basic concepts include players, pure and mixed strategies, zero-sum vs. non-zero-sum games, and payoff matrices to represent outcomes.
- Solutions include finding equilibrium points using minimax and maximin principles for pure strategies or solving systems of equations for mixed strategies when no equilibrium exists.
- Dominance rules can reduce game matrices, and graphical or algebraic methods solve for mixed strategies without saddlesGame theory
Game theoryKULDEEP MATHUR
油
Game theory is the study of strategic decision making between two or more players under conditions of conflict or competition. A game involves players following a set of rules and receiving payoffs depending on the strategies chosen. Strategies include pure strategies that always select a particular action and mixed strategies that randomly select among pure strategies. The optimal strategies are those that maximize the minimum payoff for one player and minimize the maximum payoff for the other player. When the maximin and minimax values are equal, there is a saddle point representing the optimal strategies for both players.Game theory
Game theoryamaroks
油
Game theory is a branch of applied mathematics that analyzes strategic interactions between agents. It includes concepts like Nash equilibrium, mixed strategies, and coordination games. Game theory is used in economics, political science, biology, and other social sciences to model how individuals make decisions in strategic situations where outcomes depend on the decisions of others.Game theory application
Game theory applicationshakebaumar
油
The document provides an introduction to game theory and its applications in business. It begins with an opening experiment to demonstrate game theory concepts. It then discusses how actual human behavior in experiments does not always match the theoretical predictions of rational behavior in game theory. The document outlines key elements of games, provides examples of where game theory is applied, and discusses some classic games like the Prisoner's Dilemma and how changing the structural rules of a game can influence outcomes.Game theory
Game theoryAbu Bashar
油
Game theory is the study of how optimal strategies are formulated in conflict situations involving two or more rational opponents with competing interests. It considers how the strategies of one player will impact the outcomes for others. Game theory models classify games based on the number of players, whether the total payoff is zero-sum, and the types of strategies used. The minimax-maximin principle provides a way to determine optimal strategies without knowing the opponent's strategy by having each player maximize their minimum payoff or minimize their maximum loss. A saddle point exists when the maximin and minimax values are equal, indicating optimal strategies for both players.Game theory
Game theorysivadarla
油
This document provides an outline for game theory. It introduces two-player zero-sum games and discusses finding optimal solutions through the minimax-maximin criterion. Pure and mixed strategy solutions are covered. Graphical and algebraic methods are summarized as ways to solve games, with examples provided. Dominance properties are also explained as a way to reduce game matrices.Lecture 1 - Game Theory
Lecture 1 - Game TheoryLuke Dicken
油
This is the first of an 8 lecture series that I presented at University of Strathclyde in 2011/2012 as part of the final year AI course.
This lecture introduces the concept of a game, and the branch of mathematics known as Game Theory.Game theory
Game theoryPANKAJ PANDEY
油
Game theory is used to model strategic decision-making between competitors. It originated in the 20th century and applies concepts like players, strategies, and payoffs. Players select strategies and receive payoffs based on the strategies of all players. The optimal strategy maximizes a player's payoff. Techniques like minimax, maximin, and solving dominance-reduced payoff matrices can help determine optimal strategies and the value of a game.Applications of game theory on event management
Applications of game theory on event management Sameer Dhurat
油
Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers." Game theory is mainly used in economics, political science, and psychology, as well as logic, computer science and biology.
In this presentation ,discussed regarding Application of game theory on Event Management with the help of Prisoner's Dilemma Gamegt_2007
gt_2007webuploader
油
Game theory is a mathematical approach to modeling strategic interactions between rational decision-makers. It assumes humans seek the best outcomes and makes predictions based on payoff matrices showing players' rewards for different strategy combinations. Common applications include economics, politics, and analyzing conflict and cooperation situations like the Prisoner's Dilemma. Game theory also studies concepts like Nash equilibrium, mixed strategies, and evolutionary stable strategies.Game Theory
Game TheoryVipin Maurya
油
The document discusses key concepts in game theory including:
- Players are the competitors in a game which can be individuals, groups, or organizations.
- Games can involve two players (two-person game) or more than two players (n-person game).
- Games where the sum of gains and losses is zero are called zero-sum games, all other games are non-zero-sum.
- Strategies are the decisions or actions players take. Pure strategies commit to one action, while mixed strategies randomly choose between actions.
- Payoff matrices represent strategy outcomes and the quantitative payoffs/satisfaction received by players.Game theory
Game theoryjaimin kemkar
油
This document provides an overview of game theory. It defines game theory as a mathematical theory that models strategic interactions between competitors. It discusses the key assumptions of game theory, such as players making independent decisions and fixed payoffs. It also outlines common applications of game theory, mathematical formulations using payoff matrices, limitations, important terms, types of games, steps to solve games, and provides an example solved using minimax and maximin strategies.Game theory
Game theoryMd Asif uddin
油
Game theory is used to analyze competitive situations where multiple decision makers try to maximize their own payoffs. It was developed by Von Neumann in 1928 to determine the best course of action for firms considering their rivals' responses. A competitive situation with multiple players choosing strategies simultaneously is called a game. Game theory focuses on two-person zero-sum games where one player's gain equals the other's loss. These games can be solved using pure or mixed strategies to find a saddle point equilibrium. Techniques like dominance rules and algebraic methods are used to solve games of varying complexity.Game theory project
Game theory projectAagam Shah
油
Game theory is the study of strategic decision making where outcomes depend on the choices of multiple players. It originated in the 1920s and was popularized by John von Neumann. Game theory analyzes cooperative and non-cooperative games with various properties like the number of players, information available, and whether choices are simultaneous or sequential. Important concepts in game theory include Nash equilibrium, where no player can benefit by changing strategy alone, and prisoner's dilemma, where defecting dominates but collective cooperation yields higher payoffs. Game theory is now used widely in economics, politics, biology, and other fields involving interdependent actors.Game theory
Game theoryaman_jindal
油
Game theory is the study of strategic decision making where outcomes depend on the actions of multiple players. It has applications in war, business, and biology. Key concepts include the number of players, their strategies and payoffs, optimal strategies, and the value of the game. Common solution methods are maximin, minimax, finding saddle points or equilibrium points, and mixed strategies using odds or dominance methods. Graphic methods can also solve games through lower envelopes and maximin values.Game
Game VISHNU VISWANATH
油
The document discusses various concepts in game theory including the Prisoner's Dilemma, Battle of the Sexes game, Nash Equilibrium, mixed strategies, dynamic games, auctions, and applications in computer science. It provides examples and explanations of these game theory concepts and how they apply to situations involving strategic decision making between multiple players.Game theory
Game theoryHarry Potter
油
1) Game theory analyzes strategic decision-making between players in situations called games. Games can be modeled using normal or extensive form.
2) In normal form, all choices are made simultaneously. Players choose strategies and receive payoffs. Extensive form models sequential choices using game trees.
3) Backward induction analyzes extensive form games by reasoning backwards from the end of the game tree to determine the optimal strategy sequence.Game theory
Game theorySoumya Bilwar
油
This document provides an overview of game theory, including:
- Defining game theory as a way to study strategic decision-making involving multiple participants with conflicting goals.
- The major assumptions of game theory include players having different objectives, making decisions simultaneously, and knowing potential payoffs.
- Common types of games are cooperative/non-cooperative, zero-sum/non-zero-sum, and simultaneous/sequential games.
- Popular examples used in game theory include the Prisoner's Dilemma and Chicken games, which demonstrate outcomes like Nash equilibrium.
- Game theory has applications in economics, politics, biology, and other fields for modeling interactions and predicting outcomes.Operations Research - Game Theory
Operations Research - Game TheoryHisham Al Kurdi, EAVA, DMC-D-4K, HCCA-P, HCAA-D
油
Game theory deals with decision making situations where two opponents have conflicting objectives. A game is represented by a payoff matrix showing the payoff to one player for each combination of strategies. The optimal solution, known as a saddle point, is the strategies where neither player can increase their payoff by changing only their own strategy. Mixed strategies, where players randomize between pure strategies, may be required if a pure strategy saddle point does not exist. Graphical and linear programming methods can be used to solve games with mixed strategies.Unit II A - Game Theory
Unit II A - Game TheorySSN College of Engineering, Kalavakkam
油
This document outlines the key concepts in game theory. It introduces two-person zero-sum games and discusses optimal strategies, including the maximin and minimax principles. A game has a saddle point solution when the maximin value for one player equals the minimax value for the other player, indicating their optimal strategies and the game's value.Similar to GAME THEORY (20)
Dinesh kumar
Dinesh kumarDINESHKUMARDEI
油
The document discusses the topic of game theory. It defines game theory as a branch of applied mathematics used in social sciences like economics to model strategic interactions between parties. It notes that game theory is a tool used by players to understand competitor strategies. The document then outlines several methods of game theory, including minimax-maxmin principal, mixed strategies, and zero-sum games. It provides examples to illustrate the minimax-maxmin principal and mixed strategies methods.Introduction to Game Theory for engineering.ppt
Introduction to Game Theory for engineering.pptashaby
油
Introduction to Game Theory for engineering.pptModule 3 Game Theory (1).pptx
Module 3 Game Theory (1).pptxDrNavaneethaKumar
油
Here is an example of applying the dominance property to reduce a game theory payoff matrix:
B's Strategy
b1 b2
A's Strategy
a1 2 5
a2 4 1
a3 0 3
Analysis:
The row for strategy a3 is dominated by strategy a2. This is because all the payoffs in a3 (0 and 3) are less than the payoffs in a2 (4 and 1).
Therefore, based on the dominance rule for rows (X Y), we can eliminate row a3 from the matrix.
The reduced matrix is:
B's Strategy
b1 b2
A's Strategy
a1 2 59860380.ppt
9860380.pptEric465257
油
Does any player have a dominated strategy?
If there is a dominated strategy, eliminate it.
If there is no dominant or dominated strategy, the game is unsolved by dominance. We need to look at other solution concepts like Nash equilibrium.
game THEORY ppt
game THEORY pptDronak Sahu
油
This document provides an overview of game theory. It defines game theory as the study of how people interact and make decisions strategically, taking into account that each person's actions impact others. It discusses the history and key concepts of game theory, including players, strategies, payoffs, assumptions of rationality and perfect information. It provides examples of zero-sum and non-zero-sum games like the Prisoner's Dilemma. The document is intended to introduce game theory and its basic elements.navingameppt-191018085333.pdf
navingameppt-191018085333.pdfDebadattaPanda4
油
This document provides an overview of game theory. It defines game theory as the study of how people interact and make decisions in strategic situations, using mathematical models. It discusses the history and key concepts of game theory, including players, strategies, payoffs, assumptions of rationality and perfect information. It provides examples of zero-sum and non-zero-sum games like the Prisoner's Dilemma. The document also outlines the key elements of a game and different types of game theory, and discusses applications in economics, computer science, military strategy, biology and other fields.Game Theory - Quantitative Analysis for Decision Making
Game Theory - Quantitative Analysis for Decision MakingIshita Bose
油
WHAT IS GAME THEORY?
HISTORY OF GAME THEORY
APPLICATIONS OF GAME THEORY
KEY ELEMENTS OF A GAME
TYPES OF GAME
NASH EQUILIBRIUM (NE)
PURE STRATEGIES AND MIXED STRATEGIES
2-PLAYERS ZERO-SUM GAMES
PRISONERS DILEMMA
OR PPT 280322 maximin final - nikhil tiwari.pptx
OR PPT 280322 maximin final - nikhil tiwari.pptxVivekSaurabh7
油
Maximin and Minimax strategies are approaches used in game theory to determine the optimal strategy for players. Maximin selects the strategy that maximizes the minimum possible payoff, while Minimax selects the strategy that minimizes the maximum possible loss. These strategies are applied in zero-sum games under the assumptions of rational opponents. The strategies can be modeled using decision trees and algorithms like Minimax to analyze games like Tic Tac Toe and determine the best move.
Adversarial search 
Adversarial search Farah M. Altufaili
油
This document discusses adversarial search in artificial intelligence. It provides an overview of games and introduces the minimax algorithm. The minimax algorithm is used to determine optimal strategies in two-player adversarial games by recursively considering all possible moves by both players. Tic-tac-toe is given as an example game where minimax can be applied to choose the best first move. The properties and limitations of the minimax algorithm are also summarized.
Game Theory_ 2.pptx
Game Theory_ 2.pptxssuser8c2631
油
Game theory is a strategic decision-making process that models interactions between two or more players. It is commonly used in economics to analyze industries and competition between firms. Key concepts in game theory include games, players, strategies, payoffs, information sets, equilibriums, assumptions of rationality and payoff maximization. Common applications discussed are the prisoner's dilemma, zero-sum games, dominant and dominated strategies, Nash equilibriums, mixed strategies, and minimax strategies.Game Theory_1.pptx
Game Theory_1.pptxssuser8c2631
油
Game theory is a strategic decision-making process that models interactions between two or more players. It is commonly used in economics to analyze industries and competition between firms. Key concepts in game theory include games, players, strategies, payoffs, information sets, equilibriums, assumptions of rationality and payoff maximization. Common solution techniques include backwards induction, Nash equilibriums, mixed strategies, and minimax strategies. Examples discussed include prisoner's dilemmas, zero-sum games, and dominance.Game Theory Strategic Decision Making
Game Theory Strategic Decision MakingCaner Erden
油
This document provides an overview of game theory, including definitions of key concepts like Nash equilibrium. It discusses examples of games like the prisoner's dilemma and chicken game. Solution concepts for different types of games are introduced, such as backward induction for extensive form games. Linear programming formulations are presented for solving zero-sum games. Examples are provided to illustrate equilibrium concepts and how to model games as linear programs.Recently uploaded (20)
Govt intervention in international business.pptx
Govt intervention in international business.pptxAman Thakur
油
GOVERNMENT INTERVENTION IN INTERNATIONAL BUSINESS: ECONOMIC RATIONALE FOR GOVERNMENT INTERVENTION ; NON- ECONOMIC RATIONALE FOR GOVERNMENT INTERVENTIONS : TARIFF AND NON-TARIFF BARRIERS: INVESTMENT BARRIERS; SUBSIDIES AND OTHER GOVERNMENT SUPPORT PROGRAMS
Design thinking: Divergent vs Convergent- Elements of creativity-
Design thinking: Divergent vs Convergent- Elements of creativity-P&CO
油
Three elements of creativity
Divergent and convergent thinking
ESET Internet Security Crack with License Key 2025 [Latest]![ESET Internet Security Crack with License Key 2025 [Latest]](https://cdn.slidesharecdn.com/ss_thumbnails/mid-reseach-250317133026-0d208880-250318082658-2538a2bd-thumbnail.jpg?width=560&fit=bounds)
ESET Internet Security Crack with License Key 2025 [Latest]kajpan399
油
￥ DOWNLOAD LINK https://upcommunity.net/dl/
ESET Internet Security offers the ultimate defense of your PC against all types of malware, cybercrime, junk mail and hackers. It has added firewall and antispam technology to ESET NOD32 Antivirus. It utilizes the power of the cloud and multiple layers of detection to keep out threats. As a result, it block all potential attacks. Also protects you at the highest level while you work, social network, play online games or exchange data via removable media.
＄ю
艶 COPY LINK & PASTE INTO GOOGLE https://upcommunity.net/dl/Ukrainian landscape of Industry 5.0 on the conference in Kyiv
Ukrainian landscape of Industry 5.0 on the conference in KyivAPPAU_Ukraine
油
Presentation of Ukrainian Industry 5.0 on the conference of 11th of March 2026. Author - Alex Yurchak, CEO of Association of Industrial Automation of UkraineHR Policies, How to Write Policies and Procedures Template
HR Policies, How to Write Policies and Procedures TemplateSeemaAgrawal43
油
HR policies encompass guidelines and rules that govern employee conduct, rights, responsibilities, and organizational procedures within a company. These policies cover various areas such as recruitment, employee relations, compensation, benefits, performance management, training, and workplace safety. They ensure consistency, fairness, and compliance with legal regulations while promoting a positive work environment. HR policies are crucial for setting expectations, mitigating risks, and aligning organizational practices with strategic goals.
Young Visionary Dhruv Goyal Redefines Indias Startup Ecosystem
Young Visionary Dhruv Goyal Redefines Indias Startup EcosystemFourLion Capital
油
Dhruv Goyal, a rising star in Indias entrepreneurial landscape, is making waves with his innovative approach and disruptive business strategies. Known for empowering MSMEs and promoting digital transformation in underserved sectors, Goyal is redefining how startups scale and create impact.
His ventures focus on sustainability, grassroots innovation, and inclusive growthkey elements that are reshaping Indias startup ecosystem. Industry experts and investors applaud his visionary leadership, calling him a catalyst for a new generation of purpose-driven entrepreneurs.
As he continues to break new ground, Dhruv Goyal stands as a symbol of Indias economic and innovation renaissance.
#Dhruv Goyal, #Sustainable #Entrepreneurship #Business #Growth #StoriesFoneLab iPhone Data Recovery with Crack Full [Latest] 2025![FoneLab iPhone Data Recovery with Crack Full [Latest] 2025](https://cdn.slidesharecdn.com/ss_thumbnails/yukllio9ppt02-250320083554-8367e6f1-250321162250-3e559564-thumbnail.jpg?width=560&fit=bounds)
FoneLab iPhone Data Recovery with Crack Full [Latest] 2025drfonekhan
油
https://crackedios.com/after-verification-click-go-to-download-page/
FoneLab iPhone Data Recovery CracK is a powerful application that helps you recover lost data from your iOS iPhone or iTunes account in just a few steps. You can use this simple tool to recover pictures, videos, notes, browser bookmarks, voicemails, messages and documents from iPhone.
FoneLab iPhone Data Recovery 2025 can recover deleted iPhone / iPad / iPod text messages, iMessages, WhatsApp, contacts, call history and more from your device or backup file. For iPhone 4/3GS, iPad 1 and iPod touch 4, you can recover 19 kinds of data from iOS devices. For iPhone 11 Pro Max / 11 Pro / 11 / iPhone XS / XS Max / XR / X / 8/8 Plus / 7/7 Plus / SE / 6s / 6 / 5s / 5c / 5 / 4S and later iPads iPod touch can restore 8 kinds of data.Healthcare Hall of Fame: Vietnam Top 10 Hospital Brands
Healthcare Hall of Fame: Vietnam Top 10 Hospital BrandsIgnite Capital
油
Vietnams Healthcare Hall of Fame: Top Hospital Brands by Google
Vietnams healthcare sector has rapidly advanced, with both public and private institutions setting new standards in patient care. These hospitals, known for their modern facilities, cutting-edge technology, and exceptional services, have earned a spot in Vietnams healthcare Hall of Fame. Lets explore some of the most respected hospital brands in the country.
Hoan My Medical Corporation is the largest and most well-established healthcare chain in Vietnam, with a vast network of hospitals. Offering affordable, high-quality services in both urban and rural areas, it has become a trusted name in healthcare across the country.
In Ho Chi Minh City, City International Hospital stands out for its comprehensive range of medical services. From routine care to complex surgeries, it is renowned for skilled professionals and world-class healthcare, making it a top choice for patients. City International has been cited as the highest-ranked international hospital by Voice of America, Travel & Leisure, Yahoo, US News ans Berkshire.
Tam Anh Hospital is another leading private hospital known for its advanced medical technology and high-quality services. With a focus on surgery and diagnostics, it has earned a strong reputation for its commitment to patient care.
Vinmec International General Hospital is a premier hospital chain offering modern facilities and international standards of care. Its reputation for quality makes it a popular choice for local and international patients seeking comprehensive healthcare.
Columbia Asia International Hospital brings global healthcare standards to Vietnam through its network across Asia. With specialized services and high patient satisfaction, Columbia Asia is recognized as a trusted healthcare provider in the region.
In Ho Chi Minh City, Franco-Vietnamese Hospital blends French and Vietnamese medical expertise to provide top-tier care. Known for its patient-centered approach, it continues to build its reputation as a leading private healthcare provider.
In Hanoi, Hanoi French Hospital is a well-regarded institution offering exceptional healthcare to both local and expat communities. Its international staff and high-quality services make it a go-to destination for reliable medical care.
Bach Mai Hospital, a renowned public institution in Hanoi, is one of Vietnams leading medical centers. Known for specialized services, it plays a crucial role in the public healthcare system, providing accessible and comprehensive care.
These hospitals represent the pinnacle of healthcare in Vietnam, setting high standards for quality and patient care across the nation.What is Human Resource Management, HRM Definition
What is Human Resource Management, HRM DefinitionSeemaAgrawal43
油
Human Resource Management (HRM) is the strategic approach to effectively managing people in an organization, focusing on recruitment, development, performance, and well-being to achieve organizational goals and enhance employee satisfaction and productivity.
Megatrends and Macrotrends: Impacting Private Equity, January 2025
Megatrends and Macrotrends: Impacting Private Equity, January 2025David Teece
油
This presentation, from Dr. David Teece (pioneer of the dynamic capabilities framework) and Ajinkya Tikhe, explores and analyzes ongoing and emerging national, regional, and global trends impacting private equity investment options and decisions. Due to the stable growth expectations with balanced inflation and potential reduction of interest rates, Private Markets in 2025, are expected to witness a cautious growth. Solaris Resources Corporate Presentation - March 2025
Solaris Resources Corporate Presentation - March 2025pchambers2
油
Solaris Resources Corporate PresentationProfessional PowerPoint Creator at Presentation4You
Professional PowerPoint Creator at Presentation4YouPresentation4You
油
With our Professional PowerPoint Creator service, Presentation4You crafts customized presentations tailored to your specific needs. We focus on blending aesthetics with functionality, ensuring that every slide tells a story and keeps your audience captivated. Let us elevate your presentations to the next level!Launching a Fashion Business: From Planning to Brand Success
Launching a Fashion Business: From Planning to Brand SuccessRUPAL AGARWAL
油
This guide covers the essential steps to launching a successful fashion business, from initial planning and brand development to marketing strategies and scaling for long-term growth. Whether you're starting a clothing line, an accessories brand, or an online fashion store, this resource provides insights into market research, branding, production, and customer engagement to help you build a thriving fashion business.
Why Dhruv Goyal is a Name to Watch in Indias Financial Sector?
Why Dhruv Goyal is a Name to Watch in Indias Financial Sector?FourLion Capital
油
Dhruv Goyal is quickly becoming one of the most talked-about names in Indias dynamic financial landscape. As the founder of FourLion Capital, he has introduced a fresh wave of innovation and strategic thinking that is reshaping how finance worksespecially for MSMEs and emerging startups. With a keen understanding of market dynamics and a bold vision for inclusive growth, Dhruv has created pathways for underserved sectors to access capital and scale efficiently.
What sets him apart is his ability to merge traditional financial principles with modern, tech-driven solutions. He champions data-driven investments, disruptive financing models, and sustainable economic development. His mission goes beyond profitshe envisions a future where Indian enterprises, regardless of size, can thrive through smarter financial solutions.
Dhruv is also recognized for his thought leadership and active participation in Indias startup ecosystem. From mentoring entrepreneurs to driving policy-level conversations on financial accessibility, his influence is expanding rapidly.
As India moves toward a more digital, inclusive, and innovation-driven economy, Dhruv Goyal stands at the forefront of this transformation. His journey so far proves that hes not just a leader to followhes a visionary shaping the future of Indias financial sector.
#DhruvGoyal #FinanceLeader #FourLionCapital #IndianEntrepreneurs
#StartupEcosystem #FinancialInnovation
#MSMEGrowth #BusinessVisionaryGoo-Events - Credentials Presentation 2025
Goo-Events - Credentials Presentation 2025gooevents123
油
Cho m畛ng 畉n v畛i Goo-Events!
V畛i slogan "Confidence in Action" Goo lu担n t畛 tin mang 畉n nh畛ng tr畉i nghi畛m tuy畛t v畛i v 畛c 叩o cho kh叩ch hng trong t畛ng s畛 ki畛n.Beyond the Blast: How to Pitch with Purpose and Build Lasting Media Relations...
Beyond the Blast: How to Pitch with Purpose and Build Lasting Media Relations...Aggregage
油
In this webinar, youll learn how to go beyond generic outreach and build stronger, more productive media relationships. Discover how to personalize your pitches, demonstrate value, and foster credibilityultimately increasing journalist engagement and securing better coverage!Hamad Al Wazzan Revolutionizing Real Estate in the 21st Century.pdf
Hamad Al Wazzan Revolutionizing Real Estate in the 21st Century.pdfHamad Al Wazzan
油
Explore Hamad Al Wazzan's visionary impact on modern real estate. Al Wazzan is a leader and innovator in the industry. This presentation focuses on his trending strategies and future outlook. Discover his contributions to sustainability and market disruption.GAME THEORY
- 1. GAME THEORY SUMMETED TO ABHINAV PANDAY SIR PRESENTATION BY DINESH KUMAR SWAMI PRASAD
- 2. What is game theory Game theory is a branch of applied mathematics that is used in the social sciences, most notably in economics, as well as in biology (most notably evolutionary biology and ecology), engineering, political science, international relations, computer science, and philosophy.
- 3. GAME THEORY Game theory is a tool used by the players to unerstand the stratagy Of a competitor player Used by business Organisations to defeat their competitors
- 4. HISTORY OF GAME THEORY The mathematical theory of games was invented by John von Neumann and Oskar Morgenstern (1944). For reasons to be discussed later, limitations in their mathematical framework initially made the theory applicable only under special and limited conditions.
- 5. METHODS MINIMAX-MAXMIN PRINCIPAL MIXED STRATEGY OR ODDS METHOD DOMAINS METHOD EQUAL GAME THEORY GRAPHIC GAME THEORY
- 6. 1. MINIMAX-MAXMIN PRINCIPAL SOLVED THE FOLLOWING GAME(THEORY)PROBLEM USING MINIMAX-MAXMIN PRINCIPAL PLAYER B=MAXMIN B= LOSS PLAYER B MINIMAX A=PROFIT VALU OF GAME=6 A=A2 B=B2 B1 B2 B3 A1 9 2 2 2 A2 8 6 6 6 A3 6 4 4 4 9 6 66 6
- 8. MIXED STRATEGY A mixed strategy game exists when there is no saddle point. Each player will then optimize their expected gain by determining the percent of time to use each strategy.
- 10. TYPES OF GAME TWO PERSON GAME AN PERSON GAME
- 11. TWO PERSON GAME TWO PLAYER IN A GAME AND EACH PLAYER HAVE BOUGHT SET OF COURSE OF GAME AND IT IS CALLED TWO PERSON GAME
- 12. AN PERSON GAME IN CASE AN PERSON GAME IN CASE MORE TWO PERSON ARE INVOLED IN GAME EACH HAVING A SET OF COURSE OF ACTION
- 13. ZERO SUM GAME ZERO SUM GAME ONE IN WHICH SOME OF THE^PAYMENT TO ALL THE COPMITITER FOR EVERY POSIBLE OUT COME OF THE GAME
- 15. TWO PERSON ZERO SUM GAME Zero-sum is a situation in game theory in which one person's gain is equivalent to another's loss, so the net change in wealth or benefit is zero. A zero-sum game may have as few as two players, or millions of participants. Zero-sum games are found in game theory, but are less common than non-zero sum games. OPTION 1 OPTION 2 1 2 1 50 -50 2 -50 50