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Campos [3] solved the fuzzy matrix game using the fuzzy linear programming. Xu 7 made use of linear programming method to discuss two-person zero-sum game with grey. For a predetermined number , if for all , they cannot satisfy anyone of the following conditions: ( ) , ( ) , ( ) , ( ) , ( ) , then there does not exist one -trust maximin equilibrium strategy. Harsanyi 8 made a great contribution in treating the imprecision of Dhingra If the opponent still says High, guess 1 in the next round. In a two-person zero-sum game, rough variables () represent the payoffs player I receives or player II loses, and the payoff matrix is defined by . 7 2 2 1 Game theory describes the situations involving conflict in which the payoff is affected by the actions and counter-actions of intelligent opponents. Xu [31] discussed two-person zero-sum game with grey number payoff matrix. Thus the payoff matrix is given by (a) (b) (c) (d) (e) A=fl 3 1 3 . 2 International Journal of Mathematics and Mathematical Sciences number payoﬀ matrix. The following JavaScript is designed for two-person zero-sum games. • If the payoff to player I is , then the payoff to player II is . Cevikel and A hlatcioglu [4] introduced new concept of solution for multi-objective two person zero-sum games. Assuming the payoff matrix A is strictly positive, the optimal row and column player strategies x* and y* are obtained by solving the following primal and dual pair of linear programs, scaling the results to be probability distributions. Method of solution of a 2x2 zero-sum game without saddle point - Games With No Saddle Point Posted On : 24.06.2018 10:41 pm Suppose that a 2x2 game has no saddle point. We study a two-person zero-sum game where the payoff matrix entries are random and the constraints are satisfied jointly with a given probability. – If the opponent says High, guess 2 in the next round. A Two‐Person Zero Sum Game • Illustration (two players) – – Payoff (game) matrix • : The payoff to player I – Zero sum games: Whatever one player wins the other player loses. This implementation solves an m-by-n two-person zero-sum game by reducing it to a linear programming problem. Each player has at most strategies (i.e., choices) from which to select. Ch. 20: Zero-Sum Two-Person Games 737 (e) Guess 3 at first. • A symmetric two-person zero-sum game G is defined where the payoff matrix is M. Each player picks an alternative and wins M(x, y) points when he picks x and the opponent picks y. 5 , Takahashi 6 , discussed a two-person zero-sum matrix game with random payoﬀs. • if the opponent says High, guess 2 in the next round with grey of Mathematics Mathematical... 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