Introduction to Game Theory 121431-D
Wykład (WYK) Semestr letni 2023/24

Formal introduction to game modelling. Games in a strategic and extensive form.

Pure and mixed strategy equilibrium; subgame-perfect equilibrium.

Strictly competitive games; zero-sum games.

Strict and weak domination. Rationalizable strategies.

Cournot and Stackelberg duopoly models.

Bargaining games; ultimatum game; Rubinstein bargaining model.

Bayesian Nash equilibrium.

Auction theory.

Games of incomplete information. Perfect Bayesian Nash equilibrium.

Signalling games.

Finitely and infinitely repeated games; various criteria of evaluating infinite series of payoffs.

Reputation in finitely repeated games.

Elements of group decision making; Arrow's Impossibility Theorem; Gibbard-Satterthwaite theorem.

Cooperative game theory; different solution notions; stable set; nucleolus.

Shapley-Shubik and Banzhaf power indices; properties; paradoxes and applications.