Best Response Analysis in Two Person Quantum Games

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...

Zero-Sum Two Person Games

Maximin Play in Two-Person Bimatrix Games

Since the seminal paper of Nash [7] game theoretic literature has focused mostly on equilibrium and not on maximin (minimax) strategies. We study the properties of these strategies in 2-player non-zero-sum strategic games, whose Nash equilibria are only mixed.

Melioration Learning in Two-Person Games

Melioration learning is an empirically well-grounded model of reinforcement learning. By means of computer simulations, this paper derives predictions for several repeatedly played two-person games from this model. The results indicate a likely convergence to a pure Nash equilibrium of the game. If no pure equilibrium exists, the relative frequencies of choice may approach the predictions of th...

Noisy Best Response in Coordination Games

In an environment with strategic interaction, multiple equilibria yields a coordination problem and strategic uncertainty, even in the idealized setting of complete information. The resulting disequilibrium of beliefs leads to coordination failure, as demonstrated by many experiments. This paper examines two such coordination problems: the threshold game with a unitary public good and the marke...