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Biased Media
Hendy Irawan - 23214344
Advanced Matematics EL5000 / Game Theory
Is Unbiased Media Better?
Game, Players & Strategies
 Sequential Perfect-Information Randomless Game
 2 players
 Advertiser
 Advertise: Get traffic from medias tweet
 Forfeit: No traffic
 Media
 Pro: Favorable news of supported agenda
 Neutral: Balanced news reporting
 Contra: Criticizing opposing views
 Overhyped: Anecdotes and variety of popular news
 Game Tree Simulated for 4 moves (64 leaves)
Outcomes for Advertiser
 Based on number of
Retweets of Medias topic
 Statistics from
@dakwatuna
 If Advertiser chooses
Forfeit then: 0 RTs
 If chooses Advertise, based
on Medias topic:
 Pro: 10 RTs
 Neutral: 4 RTs
 Contra: 70 RTs
 Overhyped: 110 RTs
Outcomes for Media
 Based on Click-Through Rate which determines
payout to the media company
 Statistics from: http://www.quora.com/What-is-
the-average-CTR-on-Facebook-Ads
 Payoff formula:
CTR  number of Retweets
 If 0 Advertise moves: 0%
 If 1 Advertise move:
 Pro: 0.02%
 Neutral: 0.03%
 Contra: 0.08%
 Overhyped: 0.06%
 If 2 Advertise moves, pick best CTR from:
(viral effect)
 Pro: 0.16%
 Neutral: 0.11%
 Contra: 0.09%
 Overhyped: 0.07%
Payoff Matrix: Moves 1 & 2
Payoff Matrix: Moves 3 & 4
Game Tree
Advertiser moves first
Game Tree: Move A
(Advertiser Advertises)
Game Tree: Move F
(Advertiser Forfeits)
Maximins
ADVERTISER MEDIA
 Strategy _O_P and _P_O
maximizes minimum payoff
 Maximized minimum payoff is 0
 Strategy A_A_ maximizes
minimum payoff
 Maximized minimum payoff is 8
(ANAN)
Dominations
ADVERTISER MEDIA
 Moves A_A_ strongly
dominates other strategies
 Moves _O_P and _P_O
dominates other strategies
Pure Nash Equilibrium
 Single Pure Nash Equilibrium is moves AOAP (120, 1920)
Conclusion
 Media bias is a factor in success of advertisers click-
through rates
 Since advertiser cannot directly control media, the best
move is to advertise
 If ad performance is not satisfactory, advertise can switch to
different media outlet, but still advertise
 When the game is played sequentially, the viral effect of
news article affects the total click-through rates
 Its preferable to advertise multiple times in a single media outlet
than switching media outlets rapidly
References
 Viola Chen. Is Media Bias Bad? UCLA. 2007.
http://chenv.bol.ucla.edu/ChenV_Bias.pdf
 Gentzkow, Matthew, and Jesse Shapiro. Media bias and
reputation. No. w11664. National Bureau of Economic
Research, 2005.
 http://www.quora.com/What-is-the-average-CTR-on-
Facebook-Ads

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Biased Media - Game Theory (EL5000) Course Project

  • 1. Biased Media Hendy Irawan - 23214344 Advanced Matematics EL5000 / Game Theory
  • 3. Game, Players & Strategies Sequential Perfect-Information Randomless Game 2 players Advertiser Advertise: Get traffic from medias tweet Forfeit: No traffic Media Pro: Favorable news of supported agenda Neutral: Balanced news reporting Contra: Criticizing opposing views Overhyped: Anecdotes and variety of popular news Game Tree Simulated for 4 moves (64 leaves)
  • 4. Outcomes for Advertiser Based on number of Retweets of Medias topic Statistics from @dakwatuna If Advertiser chooses Forfeit then: 0 RTs If chooses Advertise, based on Medias topic: Pro: 10 RTs Neutral: 4 RTs Contra: 70 RTs Overhyped: 110 RTs
  • 5. Outcomes for Media Based on Click-Through Rate which determines payout to the media company Statistics from: http://www.quora.com/What-is- the-average-CTR-on-Facebook-Ads Payoff formula: CTR number of Retweets If 0 Advertise moves: 0% If 1 Advertise move: Pro: 0.02% Neutral: 0.03% Contra: 0.08% Overhyped: 0.06% If 2 Advertise moves, pick best CTR from: (viral effect) Pro: 0.16% Neutral: 0.11% Contra: 0.09% Overhyped: 0.07%
  • 9. Game Tree: Move A (Advertiser Advertises)
  • 10. Game Tree: Move F (Advertiser Forfeits)
  • 11. Maximins ADVERTISER MEDIA Strategy _O_P and _P_O maximizes minimum payoff Maximized minimum payoff is 0 Strategy A_A_ maximizes minimum payoff Maximized minimum payoff is 8 (ANAN)
  • 12. Dominations ADVERTISER MEDIA Moves A_A_ strongly dominates other strategies Moves _O_P and _P_O dominates other strategies
  • 13. Pure Nash Equilibrium Single Pure Nash Equilibrium is moves AOAP (120, 1920)
  • 14. Conclusion Media bias is a factor in success of advertisers click- through rates Since advertiser cannot directly control media, the best move is to advertise If ad performance is not satisfactory, advertise can switch to different media outlet, but still advertise When the game is played sequentially, the viral effect of news article affects the total click-through rates Its preferable to advertise multiple times in a single media outlet than switching media outlets rapidly
  • 15. References Viola Chen. Is Media Bias Bad? UCLA. 2007. http://chenv.bol.ucla.edu/ChenV_Bias.pdf Gentzkow, Matthew, and Jesse Shapiro. Media bias and reputation. No. w11664. National Bureau of Economic Research, 2005. http://www.quora.com/What-is-the-average-CTR-on- Facebook-Ads