Mathematical Theory of Game

This course provides decision making theories and related laboratory experiments in computer science, economic, politics sociology, law and sports. Game theory is the systematic study of strategic interactions that are present everywhere in real world. This course includes the Nature of Games, Matrix Games, Games Trees, Utility Theory, Games Against Nature, Nash Equilibria and Non-Cooperative Solutions, the Prisoner’s Dilemma, Strategic Moves, the Nash Arbitration Scheme and Cooperative Solutions, N-Person Games, Imputations, Domination and Stable Sets, the Core, the Shapley Value, Bargaining Sets, the Nucleolus and the Gately Point.

Upon the successful completion of this course, students should be able to:

• Identify strategic situations and represent them as games.
• Evaluate simple games using various techniques.
• Classify different types of games to find a solution of a game.
• Analyze economic situations using game theoretic techniques.
• Recommend and prescribe which strategies to implement.
• Apply expected utility theory and the role of probabilities in explaining behavior.
• Apply the way in variety of real-world scenarios in economics and in other areas.

Textbook:

1. Game Theory and Strategy, Phillip D Straffin

References:

1. Games and Decisions: Introduction and Critical Survey by R. Duncan Luce and  Raiffa. (Dover Press)
2. Introduction to Game Theory by Peter Morris (Springer)
3. Game Theory : An Introduction, STEVEN TADELIS
4. Game Theory by Thomas S.Ferguson