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ECON 159: Game Theory

Lecture 17 - Backward Induction: Ultimatums and Bargaining. We develop a simple model of bargaining, starting from an ultimatum game (one person makes the other a take it or leave it offer), and building up to alternating offer bargaining (where players can make counter-offers). On the way, we introduce discounting: a dollar tomorrow is worth less than a dollar today. We learn that, if players are equally patient, if offers can be in rapid succession, and if each side knows how much the game is worth to the other side, then the first offer is for an equal split of the pie and this offer is accepted. But this result depends on those assumptions; for example, bargaining power may depend on wealth. (from oyc.yale.edu)

Lecture 17 - Backward Induction: Ultimatums and Bargaining

Time Lecture Chapters
[00:00:00] 1. Ultimatum Games: Why Backward Induction Fails Here
[00:14:15] 2. Bargaining Games: Setup and Generalization
[00:47:44] 3. Bargaining Games: Summary of Proof of Generalization
[00:54:29] 4. Bargaining Games: Assumptions and Conclusions

References
Lecture 17 - Backward Induction: Ultimatums and Bargaining
Instructor: Professor Ben Polak. Resources: Blackboard Notes Lecture 17 [PDF]. Transcript [html]. Audio [mp3]. Download Video [mov].

Go to the Course Home or watch other lectures:

Lecture 01 - Introduction: Five First Lessons
Lecture 02 - Putting Yourselves into Other People's Shoes
Lecture 03 - Iterative Deletion and the Median-Voter Theorem
Lecture 04 - Best Responses in Soccer and Business Partnerships
Lecture 05 - Nash Equilibrium: Bad Fashion and Bank Runs
Lecture 06 - Nash Equilibrium: Dating and Cournot
Lecture 07 - Nash Equilibrium: Shopping, Standing and Voting on a Line
Lecture 08 - Nash Equilibrium: Location, Segregation and Randomization
Lecture 09 - Mixed Strategies in Theory and Tennis
Lecture 10 - Mixed Strategies in Baseball, Dating and Paying Your Taxes
Lecture 11 - Evolutionary Stability: Cooperation, Mutation, and Equilibrium
Lecture 12 - Evolutionary Stability: Social Convention, Aggression, and Cycles
Lecture 13 - Sequential Games: Moral Hazard, Incentives, and Hungry Lions
Lecture 14 - Backward Induction: Commitment, Spies, and First-Mover Advantages
Lecture 15 - Backward Induction: Chess, Strategies, and Credible Threats
Lecture 16 - Backward Induction: Reputation and Duels
Lecture 17 - Backward Induction: Ultimatums and Bargaining
Lecture 18 - Imperfect Information: Information Sets and Sub-Game Perfection
Lecture 19 - Subgame Perfect Equilibrium: Matchmaking and Strategic Investments
Lecture 20 - Subgame Perfect Equilibrium: Wars of Attrition
Lecture 21 - Repeated Games: Cooperation vs. the End Game
Lecture 22 - Repeated Games: Cheating, Punishment, and Outsourcing
Lecture 23 - Asymmetric Information: Silence, Signaling and Suffering Education
Lecture 24 - Asymmetric Information: Auctions and the Winner's Course