Repeated two-person zero-sum games with unequal discounting and private monitoring

A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS

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...

Solving two-person zero-sum repeated games of incomplete information

In repeated games with incomplete information, rational agents must carefully weigh the tradeoffs of advantageously exploiting their information to achieve a short-term gain versus carefully concealing their information so as not to give up a long-term informed advantage. The theory of infinitelyrepeated two-player zero-sum games with incomplete information has been carefully studied, beginning...

Zero-Sum Two Person Games

Part II . Two - Person Zero - Sum Games

The value of two-person zero-sum repeated games with incomplete information and uncertain duration

It is known that the value of a zero-sum infinitely repeated game with incomplete information on both sides need not exist [1]. It is proved that any number between the minmax and the maxmin of the zero-sum infinitely repeated game with incomplete information on both sides is the value of the long finitely repeated game where players’ information about the uncertain number of repetitions is asy...