Game Theory (ECON 159) 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. 00:00 - Chapter 1. Ultimatum Games: Why Backward Induction Fails Here 14:15 - Chapter 2. Bargaining Games: Setup and Generalization 47:44 - Chapter 3. Bargaining Games: Summary of Proof of Generalization 54:29 - Chapter 4. Bargaining Games: Assumptions and Conclusions Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2007.
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Tags: alternating offers Backward Induction bargaining bilateral trade economic inefficiency Nash equilibrium Rubinstein sub-game perfect ultimatum game
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Lec 1 - Introduction: five first lessons
Lec 2 - Putting yourselves into other people's shoes
Lec 3 - Iterative deletion and the median-voter theorem
Lec 4 - Best responses in soccer and business partnerships
Lec 5 - Nash equilibrium: bad fashion and bank runs
Lec 6 - Nash equilibrium: dating and Cournot
Lec 7 - Nash equilibrium: shopping, standing and voting on a line
Lec 8 - Nash equilibrium: location, segregation and randomization
Lec 9 - Mixed strategies in theory and tennis
Lec 10 - Mixed strategies in baseball, dating and paying your taxes
Lec 11 - Evolutionary stability: cooperation, mutation, and equilibrium
Lec 12 - Evolutionary stability: social convention, aggression, and cycles
Lec 13 - Sequential games: moral hazard, incentives, and hungry lions
Lec 14 - Backward induction: commitment, spies, and first-mover advantages
Lec 15 - Backward induction: chess, strategies, and credible threats
Lec 16 - Backward induction: reputation and duels
Lec 18 - Imperfect information: information sets and sub-game perfection
Lec 19 - Subgame perfect equilibrium: matchmaking and strategic investments
Lec 20 - Subgame perfect equilibrium: wars of attrition
Lec 21 - Repeated games: cooperation vs. the end game
Lec 22 - Repeated games: cheating, punishment, and outsourcing
Lec 23 - Asymmetric information: silence, signaling and suffering education
Lec 24- Asymmetric information: auctions and the winner's curse