# Mathematical Game Theory

Game theory is devoted to study of mathematical models for processes, such as competition in the economy, political conflicts, voting problems, pricing, cooperative research agreements or strategic cooperation agreements. Using corresponding mathematical models, it is possible to predict the result of conflict, formulate a stable cooperative agreement and forecast the price dynamics. With the help of game theory, we are able to model different processes in which several parties with intersecting or related interests take part.

In the course, we will try to find answers to the following questions:

— What result can be achieved in agents interaction, where each one of them acts rationally and strives for its goal?

— What kind of cooperation types exist, what principles of optimality can be used in each of the types?

— How can we agree on cooperation, how to honestly divide profits or how to agree without redistributing profits?

— How to choose optimality principle, which would be beneficial to the participants for a long period of time?

— What are the approaches for application of game theory in the real life?