Two–player Games With Fuzzy Entries of the Payoff Matrix

Abstract

We expand the classical model of a two-player game by inserting of fuzzy sets as payoff values in the game matrix. Players can thus formulate their payoff expectations with words instead of deciding on numerical entries of the matrix. In this way we count on the better verbal communication between players when designing the preliminaries of the game. As a final result we expect to obtain samples of the players' optimal strategies, which will preserve the profit of the game on the neutral level.

Ranking of Weighted Strategies in the Two-Player Games with Fuzzy Entries of the Payoff Matrix

“…We sketch an original simple counterpart of the two-player game with imprecise coefficients of the payoff matrix [11] and weighted strategies. The execution of the algorithm provides us with a sample of ranked strategies selected from all tactics prepared by the players, on condition that an objective of the game is to keep the balance status of a profit variable.…”