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Sequential Games: Moral Hazard, Incentives, and Hungry Lions

By Benjamin Polak - Yale
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Lecture Description

We consider games in which players move sequentially rather than simultaneously, starting with a game involving a borrower and a lender. We analyze the game using "backward induction." The game features moral hazard: the borrower will not repay a large loan. We discuss possible remedies for this kind of problem. One remedy involves incentive design: writing contracts that give the borrower an incentive to repay. Another involves commitment strategies; in this case providing collateral. We consider other commitment strategies such as burning boats. But the key lesson of the day is the idea of backward induction.

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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