Optimal strategy sets for continuous two-person games

Chin, H. ; Parthasarathy, T. ; Raghavan, T. E. S. (1976) Optimal strategy sets for continuous two-person games Sankhya: The Indian Journal of Statistics, 38A . pp. 92-98. ISSN 0972-7671

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In the zero-sum (non-zero sum) completely mixed game each player has only one optimal (equilibrium) strategy (Parthasarathy and Raghavan, 1971). It is known that even for a three person completely mixed finite game the equilibrium set may contain more than one point (Chin, Parthasarathy and Raghavan, 1974). For continuous two person zero-sum games, it is known that there can be more than one optimal strategy even if the game is completely mixed.

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