Antagonistic Game Solution with a Continuous a-convex Payoff Function

Sevodin M.A.

Abstract


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.

Keywords


convex function; continuous games; mixed strategies

References References

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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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ISSN 1813-7903 (Print)
ISSN 2413-1172 (Online)