幸运飞艇计划

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Speaker: master student听Elena Belyaeva听(幸运飞艇计划)

Title: "Nash equilibrium in games with ordered outcomes"

Abstract:

This work is devoted to one special sort of games, studied with theory听of games. A subject matter of this theory is situations where several听sides participate, and every of sides pursues its own goal. The result,听or final state of situation, is defined with joint actions of all sides.听These situations are called games.

Theory of games explore the possibilities of colliding sides and听attempts to define such strategy for every player that the result of the听whole game would be best in certain sense, called principle of听optimality (we consider Nash principle of optimality).

The main aim of current work is finding criterion conditions for听existing a Nash equilibrium situations in mixed expansion of game with听ordered outcomes. In part I we set a connection between Nash equilibrium听situations and balanced submatrixes of payoff function鈥檚 matrix. In part听II we found required and sufficient conditions for balanced matrix. In听appendix there is a program for finding a Nash equilibrium situations in听arbitrary finite game of two players with ordered outcomes.

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Information on听previous seminars听can be found听here.