Course Archives    Theoretical Statistics and Mathematics Unit

Course: Game Theory Level: Undergraduate Time: Currently not offered

Syllabus Past Exams Syllabus: Combinatorial Games - Impartial and Partisan games. Two person zero-sum games, Saddle points and Nash equilibria, linear programming and minmax theorems, Existence of Nash equilibria and fixed-point theorems. Zero sum games on graphs. Two person general sum games: Non-cooperative and cooperative games, General sum games with more than two players. Symmetric and Potential games. Evolutionary and correlated equilibria. Cooperative games and Shapley’s theorem. Auctions and Mechanism design. ADDITIONAL TOPICS FROM: Social choice, Voting and ranking Mechanisms, Arrow’s impossibility theorem; Repeated games; Random-turn games; Fair-design; Reference Texts: 1. A. R. Karlin and Y. Peres. Game Theory, Alive. 2. T. Ferguson. Game Theory. 3. D. Easley and J. Kleinberg. Networks, Crowds, and Markets. 4. M. Maschler, E. Solan and S. Zamir. Game Theory. 5. M. J. Osborne and A. Rubinstein. A Course in Game Theory. 6. Roger B. Myerson. Game Theory: Analysis of Conflict. 7. D. Fudenberg and J. Tirole. Game Theory. 8. Y. Narahari. Game Theory and Mechanism Design. Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]