Welcome to Game Theory

2018/2019

Учебный год

ENG

Обучение ведется на английском языке

3

Кредиты

Кто читает:

Дирекция по онлайн-обучению

Статус:

Курс по выбору

Когда читается:

4-й курс, 3 модуль

Course Syllabus

Abstract

Popularized by movies such as "A Beautiful Mind," game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Beyond what we call `games' in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in markets such as the NYSE. How could you begin to model keyword auctions, and peer to peer file-sharing networks, without accounting for the incentives of the people using them? The course will provide the basics: representing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games, and more.

Learning Objectives

• The goal of this course is to facilitate the development of skills and a knowledge base in the field of Game Theory.

Expected Learning Outcomes

• Able to explain main basis of Game Theory
• Able to understand and to assess the extensive form (game trees)
• Able to explain mathematical modeling of strategic interaction among rational (and irrational) agents

Course Contents

• Introduction and Overview
  Introduction, overview, uses of game theory, some applications and examples, and formal definitions of: the normal form, payoffs, strategies, pure strategy Nash equilibrium, dominant strategies.
• Mixed-Strategy Nash Equilibrium
  Pure and Mixed strategy Nash equilibria.
• Alternate Solution Concepts
  Iterative removal of strictly dominated strategies, minimax strategies and the minimax theorem for zero-sum game, correlated equilibria.
• Extensive-Form Games
  Perfect information games: trees, players assigned to nodes, payoffs, backward Induction, subgame perfect equilibrium, introduction to imperfect-information games, mixed versus behavioral strategies.
• Repeated Games
  Repeated prisoners dilemma, finite and infinite repeated games, limited-average versus future-discounted reward, folk theorems, stochastic games and learning.
• Bayesian Games
  General definitions, ex ante/interim Bayesian Nash equilibrium.
• Coalitional Games
  Transferable utility cooperative games, Shapley value, Core, applications.

Assessment Elements

• Modul quizzes
• Final test

Interim Assessment

• Interim assessment (3 module)
  0.3 * Final test + 0.7 * Modul quizzes

Bibliography

Recommended Core Bibliography

• Osborne, M. J. (2009). An introduction to game theory / Martin J. Osborne. New York [u.a.]: Oxford Univ. Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edswao&AN=edswao.324093616

Recommended Additional Bibliography

• Casson, M. (1991). The Economics of Business Culture: Game Theory, Transaction Costs, and Economic Performance. Oxford University Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.b.oxp.obooks.9780198283751