This course introduces the foundations of game theory. It treats models of social interaction, conflict and cooperation, the origin of cooperation, and concepts of strategic decision making behavior. Examples, applications, and the contrast between theory and empirical results are particularly emphasized.
About Game Theory:
Game theory provides a unified language to study interactions amongst different types of individuals (e.g. humans, firms, nations, animals, etc.). It is often used to analyze situations involving conflict and/or cooperation. The course introduces the basic concepts of both non-cooperative and cooperative game theory (players, strategies, coalitions, rules of games, utilities, etc.) and explains the most prominent game-theoretic solution concepts (Nash equilibrium, sub-game perfection, Core, Shapley Value, etc.). We will also discuss standard extensions (repeated games, incomplete information, evolutionary game theory, signal games, etc.).
In each part of the course, we focus on examples and on selected applications of the theory in different areas. These include analyses of cooperation, social interaction, of institutions and norms, social dilemmas and reciprocity as well as applications on strategic behavior in politics and between countries and companies, the impact of reciprocity, in the labor market, and some applications from biology. Game theory is also applied to control-theoretic problems of transport planning and computer science.
As we present theory and applications, we will also discuss how experimental and other empirical studies have shown that human behavior in the real world often does not meet the strict requirements of rationality from "standard theory", leading us to models of "behavioural" and "experimental" game theory.
Introduction: a quick tour of game theory
|College Admissions and the Stability of Marriage
by D. Gale and L. S. Shapley
Cooperative game theory:
|COOPERATIVE GAMES: CORE AND SHAPLEY VALUE
by R. Serrano
|05.03||Bary Pradelski||Prefference and Utilities
The Nash equilibrium:
Some of you asked for the connection between utility and entropy, there you go.
by J. F. Nash
|19.03||Bary Pradelski|| Non-cooperative game theory: dynamics
Game theory: evolution
|Automata, matching and foraging behavior of bees|
|A Model-Free Approach to Wind Farm Control Using Game Theoretic Methods|
Experimental game theory: