IIT Madras Game Theory Lectures: Game Theory and Strategy
BSMS402395 lectures12 weeks
Weeks
- Week 18 lecturesClassifications complete & incomplete information game theory · About the course cooperative & non cooperative game theory · Prisoner's dilemma simultaneous & sequential games · Complete vs incomplete games course overview · Dominant & dominated actions · Non cooperative games vs cooperative games dominant & dominated strategies · What is an equilibrium in game theoretic setting assumptions · Solving games assumptions equilibrium & dominant strategies
- Week 29 lecturesSolving games equilibrium | part 1 · Solving games equilibrium | part ii · Nash equilibrium solving games & prisoner’s dilemma · Nash equilibrium simple examples · Nash equilibrium : recap methods for finding equilibria · Nash equilibrium: interpretations · Applications braess’s paradox · Applications location problem cournot competition · Cournot competition hotelling model & location strategy
- Week 39 lecturesNash equilibrium & dominance solution concepts · Mixed strategy nash equilibrium bystander effect · Obtaining Mixed Strategy Nash Equilibrium · Characteristics of mixed strategy nash equilibrium dominance · Mixed strategy nash equilibrium in battle of sexes · Application: Reporting a Crime · Mixed strategy equilibrium & dominance war game · Mixed strategy equilibrium & dominance: an example · Mixed strategy nash equilibrium interpretations
- Week 47 lecturesIntroducing extensive form games through examples · Game tree, rules of the games, and actions/strategies · Backward induction solving extensive form games rollback equilibrium · Normal vs extensive form representations · Three examples of extensive form game · Subgames & information sets repeated games · Subgame perfect equilibrium information sets
- Week 55 lecturesFinitely repeated games · Finitely repeated games: one more example · Infinitely repeated games cooperation trigger · Evolutionary game theory · ESS and NE
- Week 65 lecturesBayesian games f · Bayes theorem, mixed strategy BNE · Auction coopetition · Cooperative game theory static games incomplete information · Playing the right game stable matching
- Week 78 lecturesMatching problem gale shapley algorithm · Stable matching · Gale shapley algorithm stable matching optimality · Generalization · Optimality matching theory · College admissions market design matching algorithms · Markets for doctors stable matching gale · New markets gale shapley algorithm
- Week 812 lecturesHerding introduction information cascades · Herding experiment marbles classroom example · Bayes rule conditional probability · Lessons from cascades social choice theory · Voting introduction systems applications · Individual preferences · Majority rule voting systems · Positional voting · Voting systems examples majority rule · Arrow's impossibility theorem voting theory · Voting & information aggregation voting theory · Insincere & sequential voting
- Week 98 lecturesNetwork effects demand for network goods supply · Economy without network effects demand equilibrium · Economy with network effects language learning · Practice problem condorcet jury theorem · Markets for several network goods | part 1 · Markets for several network goods | part 2 · Strategies for network goods firm · Intermediaries auction formats
- Week 1012 lecturesAuctions: introduction english dutch sealed bid vickrey auction · Second price auctions vickrey auction sealed bid · First price and all pay auctions strategies · Common value auctions · First price auctions | part 2 · All-pay auctions | part 2 · Seller revenue | part 1 · Seller revenue | part 2 · Practice problem 1 bridge construction bidding · Practice problem 2 revenue equivalence theorem · Practice problem 3 tractor auction · Practice problem 4 first price auction
- Week 116 lecturesCooperative games | part 1 | transferable utility · Cooperative games | part 2 | shapley value axioms · Cooperative games | part 3 | symmetric players · Shapley value | part 1 | additive & superadditive games · Shapley value | part 2 | shapley shubik power index · Shapley value | part 3 | dissolving partnership fair division
- Week 125 lecturesDissolving a partnership shapley value marginal contribution method · Cost games · Core cooperative game theory stable cost · Bankruptcy cooperative game theory fair division shapley value · Sponsored search markets keyword advertising | auction mechanisms