Mathematical Game Theory

10 June - 31 December 2022 г.
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  • English

    course language

  • от 4 до 5 недель

    course duration

  • от 2 до 3 часов в неделю

    needed to educate

  • 1 credit points

    for credit at your university

Every day, almost every minute we make a choice. Right now you have made the choice to read this text instead of scrolling further. Choices can be insignificant: to go by tram or by bus, to take an umbrella or not. Sometimes they can be very significant and even crucial: the choice of University, life partner. However, the importance of choice may not be realized initially. Sometimes a decision "not to take an umbrella" radically changes everything. 


The choice may affect a small group of people or entire countries. In game тtheory, we call it the choice of strategy. Constantly interacting with society and adopting certain strategies, many of us wonder: why can't everyone exist peacefully and cooperate with each other? Why do those who have agreed to cooperate, suddenly break the agreement? What if one is cooperative and the other is not? How profitable should the interaction be for the opponent to change his opinion? When are long-term stable prospects better than short-term benefits, and when not? 

The answers to these and other questions you will find out in our course. 

This course will be useful for those who want to make choices based on mathematical calculations rather than relying on fate. Who is interested in world politics and at least once heard about the "Prisoner's Dilemma". 

The course is basic and does not require any special knowledge. In several sections, definitions and theorems from mathematical analysis and elements of probability theory will be used.



Course program

Zero-sum Games

Noncooperative Games

Cooperative Games in Characteristic Function Form

Noncooperative Multistage Games

Cooperative Multistage Games

Differential Games

Петросян Ованес Леонович

Кандидат физико-математических наук
Position: Доцент

Панкратова Ярославна Борисовна

Position: Доцент

Булгакова Мария Александровна

Position: ассистент

Смирнова Надежда Владимировна

Position: ассистент

Тайницкий Владислав Александрович

Position: ассистент

Ли Инь

Position: Студент