Introduction to game theory: Examples of games, dominant strategy equilibrium, pure strategy Nash equilibrium, best response functions, rationality and intelligence, utility theory by von Neumann and Morgenstern.
Applications: Computation of Nash equilibrium in (i) Cournot's model of oligopoly, (ii) Bertrand's model of oligopoly, (iii) Electoral competition, (iv) Auctions.
Mixed strategy Nash equilibrium: Introduction to mixed strategy Nash equilibrium, computation using support sets, matrix games, solution using linear program.
Extensive form games: Extensive form games with perfect information, Nash Equilibrium, subgame perfect equilibrium, computation using backward induction method, examples of extensive form games.
Potential games: Introduction to potential games, congestion games, routing games.
Games with partial information: Strategic games with imperfect information, Bayesian games, Dominant Strategy Equilibrium and Nash Equilibrium in Bayesian Games.
Mechanism design and auctions: Introduction to mechanism design, social choice functions, incentive compatibility, auctions as quasi-linear mechanisms, revenue equivalence, optimal auctions, efficient auctions, Clarke's pivotal mechanism.
Cooperative games: Contracts and correlated strategies, games with communication, Nash bargaining solution, transferable utility games, core, solution using linear program, Shapley value.
Martin Osborne, "An Introduction to Game Theory", Oxford University Press, 2003.
Y Narahari, "Game Theory and Mechanism Design", IISc Press, 2014.
Andreu Mas-Colell, Michael D Whinston, and Jerry R Green, "Microeconomic Theory", Oxford University Press, 1995.
Vijay Krishna, "Auction Theory", Academic Press, 2010.
Noam Nisan, Tim Roughgarden, Eva Tardos, and Vijay Vazirani, "Algorithmic Game Theory", Cambridge University Press, 2007.