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

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...

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...

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...

Repeated Games Non - Zero - Sum of Incomplete

Zero-Sum Two Person Games