Lecture Description
We apply the main idea from last time, iterative deletion of dominated strategies, to analyze an election where candidates can choose their policy positions. We then consider how good is this classic model as a description of the real political process, and how we might build on it to improve it. Toward the end of the class, we introduce a new idea to get us beyond iterative deletion. We think about our beliefs about what the other player is going to do, and then ask what is the best strategy for us to choose given those beliefs?
Course Index
- Introduction: Five First Lessons
- Putting Yourselves Into Other People's Shoes
- Iterative Deletion and the Median-Voter Theorem
- Best Responses in Soccer and Business Partnerships
- Nash Equilibrium: Bad Fashion and Bank Runs
- Nash Equilibrium: Dating and Cournot
- Nash Equilibrium: Shopping, Standing and Voting on a Line
- Nash Equilibrium: Location, Segregation and Randomization
- Mixed Strategies in Theory and Tennis
- Mixed Strategies in Baseball, Dating and Paying your Taxes
- Evolutionary Stability: Cooperation, Mutation, and Equilibrium
- Evolutionary Stability: Social Convention, Aggression, and Cycles
- Sequential Games: Moral Hazard, Incentives, and Hungry Lions
- Backward Induction: Commitment, Spies, and First-mover Advantages
- Backward Induction: Chess, Strategies, and Credible Threats
- Backward Induction: Reputation and Duels
- Backward Induction: Ultimatums and Bargaining
- Imperfect Information: Information Sets and Sub-game Perfection
- Subgame Perfect Equilibrium: Matchmaking and Strategic Investments
- Subgame Perfect Equilibrium: Wars of Attrition
- Repeated Games: Cooperation vs. the End Game
- Repeated Games: Cheating, Punishment, and Outsourcing
- Asymmetric Information: Silence, Signaling and Suffering Education
- Asymmetric Information: Auctions and the Winner's Curse
Course Description
This course is an introduction to game theory and strategic thinking. Ideas such as dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, and signaling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere.