Antagonistic Game Solution with a Continuous a-convex Payoff Function
Keywords:
convex function, continuous games, mixed strategiesAbstract
The antagonistic game with a continuous a-convex payoff function is considered. One of the possible generalizations of functions, a-convex functions is built. It is established that the games with a-convex payoff function can be solved in the same way as a convex game.References
Воробьев Н. Н. Теория игр для экономистов-кибернетиков. - М. : Наука, 1985. - 272 с.
Мак-Кинси Д. Введение в теорию игр. - М. : Физматгиз, 1960. - 420 с.
Карлин С. Математические методы в теории игр, программировании и экономике. - М. : Мир, 1963. - 839 с.
Bohnenblust H. F., Karlin S., Shapley L. S. Games with Continuous, Convex Pay-off, Contribs, to the Theory of Games / ed. H. W. Kuhn, A. W. Tucker, Ann. Math. - Study 24. - Princeton, N. J. : Princeton Univ. Press, 1950.
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Published
15.12.2011
How to Cite
Sevodin М. А. (2011). Antagonistic Game Solution with a Continuous a-convex Payoff Function. Vestnik IzhGTU Imeni M.T. Kalashnikova, (4), 167–170. Retrieved from https://izdat.istu.ru/index.php/vestnik/article/view/2640
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