Game Theory

Yale,, Fall 2007 , Prof. Ben Polak

Updated On 02 Feb, 19


Introduction - Putting yourselves into other peoples 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


Lecture 7: Nash equilibrium shopping, standing and voting on a line

4.1 ( 11 )

Lecture Details

We first consider the alternative "Bertrand" model of imperfect competition between two firms in which the firms set prices rather than setting quantities. Then we consider a richer model in which firms still set prices but in which the goods they produce are not identical. We model the firms as stores that are on either end of a long road or line. Customers live along this line. Then we return to models of strategic politics in which it is voters that are spread along a line. This time, however, we do not allow candidates to choose positions they can only choose whether or not to enter the election. We play this "candidate-voter game in the class, and we start to analyze both as a lesson about the notion of equilibrium and a lesson about politics.



3 Ratings
comment person image


Excellent course helped me understand topic that i couldn't while attendinfg my college.

comment person image


Great course. Thank you very much.