In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...

In this paper, we investigate a two-person zero-sum game with fractional loss function, which we call the two-person zero-sum fractional game. We are interested in a game value and a saddle point of the two-person zero-sum game and observe that they exist under various conditions. But, in many cases, it seems to be difficult to search directly for a game value and a saddle point of the fraction...

entrepreneurship has been known as a method of identifying new opportunities, allocating resources in the situation of uncertainty and creating an organization to manage resources. this paper describes religious learning approaches in which entrepreneurship is beneficial to society and individuals through its economic advantages. the benefits are gained through innovation, productivity and new ...

We study new classes of games, called zero-sum equivalent games and zero-sum equivalent potential games, and prove decomposition theorems involving these classes of games. We say that two games are “strategically equivalent” if, for every player, the payoff differences between two strategies (holding other players’ strategies fixed) are identical. A zero-sum equivalent game is a game that is st...

We provide several tests to determine whether a game is a potential game or whether it is a zero-sum equivalent game—a game which is strategically equivalent to a zero-sum game in the same way that a potential game is strategically equivalent to a common interest game. We present a unified framework applicable for both potential and zero-sum equivalent games by deriving a simple but useful char...