2017 Introduction to Game Theory (Heinrich Nax & Bary Pradelski)

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Project Details

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

 
Day Presenter lecture
 20.02    Heinrich Nax 

Introduction: a quick tour of game theory

Handout

 27.02  Heinrich Nax 

Cooperative game theory:

  • Core and Shapley value

  Handout 

 06.03  Bary Pradelski  Non-cooperative game theory: Normal form
  • Utilities
  • Best replies

Handout

 13.03  Bary Pradelski 

The Nash equilibrium:

  • Proof
  • Interpretations and refinements

 Handout

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

 Handout

 27.03   Bary Pradelski 

Game theory: evolution

  • Evolutionary game theory

Handout

 03.04  Heinrich Nax 

Applications:

  • Interactive Environments and Distributed Control

 Handout

 10.04  Heinrich Nax

Experimental game theory:

  • Behavioral game theory
  • Learning in games

 Handout

 08.05  Heinrich Nax Bargaining
  • Solution concepts
  • Nash program

 Handout

 15.05  Bary Pradelski 

Auctions:

  • English, Dutch, Sealed, Open
  • Equivalence and Real-world examples: 3G, Google, etc.

 Handout

 22.05    EXAM
 29.05   Heinrich Nax Course conclusion and discussion

 


Category
Lecture material