Game Theory

2023/2024

Учебный год

ENG

Обучение ведется на английском языке

3

Кредиты

Кто читает:

Департамент социологии

Статус:

Курс обязательный

Когда читается:

3-й курс, 3 модуль

Преподаватели

Коковин Сергей Гелиевич

Максимцева Анна Викторовна

Course Syllabus

Abstract

The aim of this course is to familiarize students with the theoretical apparatus and practical methods of application of game theory to economics and social sciences. The theoretical grounds of game theoretical models will be also discussed, such as the idea of rational agent. Also the strategic behavior in the conditions of incomplete information will be studied, as well as evolutionary models and their applications to biology, economics and social sciences

Learning Objectives

• As a result of learning, students will know: • conceptual apparatus of game theory and decision theory; • different classes of games (cooperative games, non-cooperative games in normal and extensive form, games with imperfect information); • how to find: Pareto and Core solutions, Nash equilibrium, Subgame-Perfect Nash Equilibrium, evolutionary stable equilibrium. Students will be able to: • solve basic game-theoretical problems; • construct simple game-theoretical models applied to economics and social sciences.

Expected Learning Outcomes

• Demonstrate an in-depth knowledge and critical understanding of main concepts of game theory and methods of its applications to social and behavioral sciences
• Solve simple problems in games in normal and extensive form, such as finding Pareto, Nash equilibria and using backward induction

Course Contents

• Introduction, Pareto-optimum and Core
• Static Games: Normal Form, MaxMin, Iterated non-dominaed Solution, Nash Equilibrium
• Static Games: Mixed Nash Equilibrium, Evolutionary Stable Nash Equilibrium
• Static Games: Nash Equilibrium in continuous games: Cournot oligopoly, Bertrand oligopoly
• Dynamic Games with imperfect information: Iformation sets, Subgame-Perfect Nash Equilibrium
• Dynamic Games with perfect information: Game tree, Subgame-Perfect Nash Equilibrium
• Several applications of game theory: Hotelling-Downs political competition, Hawks-and-Doves model of social norms, Altruists-and-egoists, Signaling games

Assessment Elements

• Participation and activity in class
• Written test
  The task is to explain theoretical notion in game theory and to solve a simple problem
• On-lecture quizes/tests
  Includes problems for games in normal and strategic form
• Written exam
• Homeworks
  Includes numerical and Yes/No questions about games in cooperative, or normal or extensive form

Interim Assessment

• 2023/2024 3rd module
  0.1 * Homeworks + 0.15 * On-lecture quizes/tests + 0.15 * Participation and activity in class + 0.3 * Written exam + 0.3 * Written test

Bibliography

Recommended Core Bibliography

• A primer in game theory, Gibbons, R., 1992
• Binmore, K. (2007). Game Theory: A Very Short Introduction. Oxford University Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.b.oxp.obooks.9780199218462

Recommended Additional Bibliography

• Crisman, K.-D. (2014). Game Theory Meets the Humanities and Both Win OR Book Review: Game Theory and the Humanities: Bridging Two Worlds, by Steven J. Brams. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.1F44E4E1
• Vega-Redondo, F. (2003). Economics and the Theory of Games. Cambridge, UK: Cambridge University Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=125043
• Захаров А. В. - Теория игр в общественных науках : учебник для вузов — 3-е изд., эл. - 978-5-7598-1401-6_int - Москва: ВШЭ - 2020 - 372980 - https://ibooks.ru/bookshelf/372980/reading - iBOOKS