Game theory and optimal decisions
- Department of Applied Mathematics
Game theory is the study of strategic interactions and decision-making in competitive and cooperative environments. General mathematical formulas and algorithms are developed to identify optimal strategies, and to predict the outcome of strategic interactions. Seminars are devoted to practical problems in transportation and economy.
- Syllabus of lectures:
1.Classification of games and mathematical models.
2.Non-conflict decision-making, mathematical programming.
3.Antagonistic conflict - optimal strategy, theory of matrix games.
4.Infinite antagonistic conflict - games with infinite number of strategies.
5.Two-person game - non-cooperative game.
6.Two-person game - cooperative game.
7.N-person games - non-cooperative games.
9.Further development of cooperative games.
11.Decision under risk with incomplete information.
12.Decision-making in a conflict of p-intelligent players.
13.Utility function and bargaining.
14.Optimal strategy control.
- Syllabus of tutorials:
- Study Objective:
- Study materials:
Maňas M.: Games and Economic Decisions, Praha, VŠE, 1998
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: