Introduction to Game Theory

Main content

Spring Semester 2017

This is the website for the course entitled "Introduction to Game Theory" which commences in the spring semester of 2017. The lectures take place every Monday from 17.15 to 18.45 pm in room HG F1. Course material for students will be published below. More detailed information about the course may be found here.

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.
Lecturers: H. Nax , B. Pradelski

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.

 

Important:
Course material is intended for personal use in the context of this course only; redistributing, citing or publishing any of the material is strictly prohibited. If prompted, please enter your ETH username and password to download course materials.

Schedule and Course Material

Date Presenter Lecture Reading/problem set
20.02. Heinrich Nax Introduction: a quick tour of game theory College Admissions and the Stability of Marriage
by
D. Gale and L. S. Shapley
27.02. Heinrich Nax

Cooperative game theory

  • Core and Shapley value

Handout

COOPERATIVE GAMES: CORE AND SHAPLEY VALUE
by
R. Serrano
06.03. Bary Pradelski Non-cooperative game theory: Normal form
  • Utilities
  • Best replies

Handout

Preferences and utilities
13.03. Bary Pradelski

The Nash equilibrium:

  • Proof
  • Interpretations and refinements

Handout

Non-cooperative games
by
J. F. Nash
20.03. Bary Pradelski Non-cooperative game theory: dynamics
  • Sub-game perfection and Bayes-Nash equilibrium
  • Repeated games

Handout

PROBLEM SET  (Solutions)
27.03. Bary Pradelski

Game theory: evolution

  • Evolutionary game theory

Handout

Automata, matching and foraging behavior of bees
by
Thuijsman et al.
03.04. Heinrich Nax

Applications:

  • Interactive Environments and Distributed Control

Handout

Game Theory and Distributed Control
by
J.R. Marden and J.S. Shamma
10.04. Heinrich Nax

Experimental game theory:

  • Behavioral game theory
  • Learning in games

Handout

Progress in Behavioral Game Theory
by
Colin F. Camerer

08.05. Heinrich Nax Bargaining
  • Solution concepts
  • Nash program
PROBLEM SET
15.05. Bary Pradelski

Auctions:

  • English, Dutch, Sealed, Open
  • Equivalence and Real-world examples: 3G, Google, etc.
 
22.05.   EXAM  
29.05. H. Peyton Young The diffusion of social and technological innovations  

Suggested literature

  • K Binmore, Fun and games, a text on game theory, 1994, Great Source Education
  • SR Chakravarty, M Mitra and P Sarkar, A Course on Cooperative Game Theory, 2015, Cambridge University Press
  • A Diekmann, Spieltheorie: Einführung, Beispiele, Experimente, 2009, Rowolth
  • MJ Osborne, An Introduction to Game Theory, 2004, Oxford University Press New York
  • J Nash, Non-Cooperative Games, 1951, Annals of Mathematics
  • JW Weibull, Evolutionary game theory, 1997, MIT Press
  • HP Young, Strategic Learning and Its Limits, 2004, Oxford University Press
 
Page URL: http://www.coss.ethz.ch/education/GT.html
Thu Apr 27 14:57:35 CEST 2017
© 2017 Eidgenössische Technische Hochschule Zürich