Теория игр

2025/2026

Учебный год

RUS

Обучение ведется на русском языке

3

Кредиты

Кто читает:

Институт медиа

Статус:

Курс по выбору

Когда читается:

2-й курс, 3 модуль

Преподаватель

Переяслов Алексей Денисович

Программа дисциплины

Аннотация

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. We'll include a variety of examples including classic games and a few applications.

Цель освоения дисциплины

• The aim of the course is to provide an introduction to the study of game theory which has found wide applications in economics, political science, sociology, engineering apart from disciplines like mathematics and biology.

Планируемые результаты обучения

• To be able to analyze conflict dynamics from the standpoint of rationality.
• To be able to define the basics of a “game”.
• To be able to evaluate conflict dynamics from the standpoint of the self interests of the “Players”.
• To be able to translate the basic of a “game” into a wide range of conflicts.

Содержание учебной дисциплины

• Introduction and Overview
• Mixed-Strategy Nash Equilibrium
• Alternate Solution Concepts
• Extensive-Form Games
• Repeated Games
• Bayesian Games
• Coalitional Games

Элементы контроля

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Промежуточная аттестация

• 2025/2026 3rd module
  0.5 * - + 0.5 * --

Список литературы

Рекомендуемая основная литература

• Barron, E. N. (2013). Game Theory : An Introduction (Vol. Second edition). Hoboken, New Jersey: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=565752

Рекомендуемая дополнительная литература

• Haeringer, G. (2018). Market Design: Auctions and Matching. The MIT Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.b.mtp.titles.0262037548
• Prisner, E. (2014). Game Theory : Through Examples. [Washington, District of Columbia]: Mathematical Association of America. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=800654