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Repeated Games: Cheating, Punishment, and Outsourcing

By Benjamin Polak - Yale
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Lecture Description

In business or personal relationships, promises and threats of good and bad behavior tomorrow may provide good incentives for good behavior today, but, to work, these promises and threats must be credible. In particular, they must come from equilibrium behavior tomorrow, and hence form part of a subgame perfect equilibrium today. We find that the grim strategy forms such an equilibrium provided that we are patient and the game has a high probability of continuing. We discuss what this means for the personal relationships of seniors in the class. Then we discuss less draconian punishments, and find there is a trade off between the severity of punishments and the required probability that relationships will endure. We apply this idea to a moral-hazard problem that arises with outsourcing, and find that the high wage premiums found in foreign sectors of emerging markets may be reduced as these relationships become more stable.

Course Description

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Course Index

  1. Introduction to Game Theory
  2. Putting Yourselves into Other People's Shoes
  3. Iterative Deletion and the Median-Voter Theorem
  4. Best Responses in Soccer and Business Partnerships
  5. Nash Equilibrium
  6. Nash Equilibrium: Dating and Cournot
  7. Nash Equilibrium: Shopping, Standing and Voting on a Line
  8. Nash Equilibrium: Location, Segregation and Randomization
  9. Mixed Strategies in Theory and Tennis
  10. Mixed Strategies in Baseball, Dating and Paying Your Taxes
  11. Evolutionary Stability: Cooperation, Mutation, and Equilibrium
  12. Evolutionary Stability: Social Convention, Aggression, and Cycles
  13. Sequential Games: Moral Hazard, Incentives, and Hungry Lions
  14. Backward Induction: Commitment, Spies, and First-Mover Advantages
  15. Backward Induction: Chess, Strategies, and Credible Threats
  16. Backward Induction: Reputation and Duels
  17. Backward Induction: Ultimatums and Bargaining
  18. Imperfect Information: Information Sets and Sub-Game Perfection
  19. Subgame Perfect Equilibrium: Matchmaking and Strategic Investments
  20. Subgame Perfect Equilibrium: Wars of Attrition
  21. Repeated Games: Cooperation vs the End Game
  22. Repeated Games: Cheating, Punishment, and Outsourcing
  23. Asymmetric Information: Silence, Signaling and Suffering Education
  24. Asymmetric Information: Auctions and the Winner's Curse