Course

PROFESSIONAL ELECTIVES UNDER SCIENCE STREAM

Mathematics

Unit 1

Elements of Game theory, examples, Strategic Games, 2 Player Strategy Games, payoffs, Minimax, Weak and Strong Domination, Saddle Points, Nash Equilibrium, Prisoner’s Dilemma, Stag Hunt, Matching pennies, BOS, Multi NE, Cooperative and Competitive Games, Strict and Non Strict NE, Best response functions for NE.

Unit 2

Combinatorial games, Winning and losing positions, Subtraction Game, 3-Pile and K-Pile Games, Proof of Correctness, Variations of K-Pile Games, Graph Games, Construction, Proof of finiteness, SG theorem for sum of games.

Unit 3

Cournot’s Oligopoly, Bertrand’s Oligopoly, Electoral Competition, Median Voter Theorem, Auctions, role of knowledge, Decision making and Utility Theory, Mixed Strategy Equilibrium, Extensive Games with Perfect Information, Stackelberg’s model of Duopoly, Buying Votes, Committee Decision making, Repeated Gmes, Prisoner’s Dilemma, Supermodular Game and Potential games

Text Books / References

TEXTBOOK:

1. Martin Osborne, An Introduction to Game Theory, Oxford University Press.

REFERENCES:

1. Thomas Ferguson, Game Theory, World Scientific,
2. Stef Introduction to Game Theory, Hindustan Book Agency.
3. Allan MacKenzie, Game Theory for Wireless Engineers, Synthesis Lectures On

Evaluation Pattern

*CA – Can be Quizzes, Assignment, Projects, and Reports.