Barbara Grażyna Bromboszcz Radosław Czaja Piotr Elfinger Włodzimierz Fechner Paweł Gładki Renata Gołkowska Mariusz Klęczar Tatiana Korzeniowska dr Adam Kolany

Angelika Kurzyniec Joanna Napiórkowska Izabella Papuga Joanna Pawłowska dr Marek Szyjewski Michał Trzęsiok Radosław Wieczorek Żywilla Wcisło

1. Games for two people. Fixed point theorems. Pure and mixed strategies. Minimax theorem of Von Neumann. Share interpretation of mixed strategies.
   
2. Theorems about advantegous strategies. Solving games 2 x m. The "misleading game" method.
   
3. Examples of games: simplified war games, "rock - paper - scissors", "morra", optimal therapy, the investment problem, agrarian issues, the problem of provision with fuel, frying scrambled eggs, web games.
   
4. Linear programming. The "Simplex" method. The optimal diet problem. Solving games and optimalisation issues. Dantzig theorems.
   
5. Strategic games and decisions.
   
6. Multiplayer games. Infinite games. Games in a square. Concave-convex games. Games with continuum of players. Approximation with finite games.
   
7. Optimal investment. Optimal therapy. Optimal cultivation of an agricultural acreage. Steinhaus games. Optimal localisation of an object.
   
8. Multistage games. The prisoner's dilemma. Exhaustion games.
   
9. Games with non-zero sum. Utility. Two-matrix games. Coalition games. Game based on the marriage conflict.
   
10. Cooperation of two production companies. Competition between two capitalistic companies. Competition of oligopolists.
    
11. Nash and Wald theorems about non-zero sum.
    
12. The bidding problem. Investing on the stock-exchange.

LITERATURE:

[1] Elements of game theory for economists,Ewa Drabik, Wydawnictwo Uniwersytetu w Białymstoku, Białystok 1998,
[2] Biblioteczka Matematyczna13 - Introduction to Game Theory,Edward Kofler, PZWS, Warszawa1963,
[3]Risk Theory Scetches,K.J. Arrow, PWN, Warszawa, 1979.