Project Details
Description:
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 noncooperative and cooperative game theory (players, strategies, coalitions, rules of games, utilities, etc.) and explains the most prominent gametheoretic solution concepts (Nash equilibrium, subgame 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 controltheoretic 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.
Day  Presenter  Lecture  Readings 

19.02  Heinrich Nax 
Introduction: a quick tour of game theory 
College Admissions and the Stability of Marriage by D. Gale and L. S. Shapley 
26.02  Heinrich Nax 
Cooperative game theory:

COOPERATIVE GAMES: CORE AND SHAPLEY VALUE by R. Serrano 
05.03  Bary Pradelski  Prefference and Utilities


12.03  Bary Pradelski 
The Nash equilibrium:
Some of you asked for the connection between utility and entropy, there you go. 
Noncooperative games by J. F. Nash 
19.03  Bary Pradelski  Noncooperative game theory: dynamics


26.03  Bary Pradelski 
Game theory: evolution

Automata, matching and foraging behavior of bees 
09.04  Heinrich Nax 
Applications:

A ModelFree Approach to Wind Farm Control Using Game Theoretic Methods 
23.04  Heinrich Nax 
Experimental game theory:


30.04  Heinrich Nax  Bargaining


07.05  Bary Pradelski 
Auctions:


14.05  EXAM  
28.05  TBA  TBA 
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Handout lecture 2 Handout Lecture 7 reading lecture 7 Lecture 6 solutions Lecture 6 reading Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 1