On Properness and Protectiveness in Two Person Multicriteria 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...

On two solution concepts in a class of multicriteria games

In this paper we compare two solution concepts for general multicriteria zero-sum matrix games: minimax and Pareto-optimal security payoff vectors. We characterize the two criteria based on properties similar to the ones that have been used in the corresponding counterparts in the single criterion case, although they need to be complemented with two new consistency properties. Whereas in standa...

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.

Cognitive Hierarchy Theory and Two-Person Games

Carlos Gracia-Lázaro 1, Luis Mario Floría 1,2 and Yamir Moreno 1,3,* 1 Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain; [email protected] (C.G.-L.); [email protected] (L.M.F.) 2 Departamento de Física de la Materia Condensada, University of Zaragoza, 50009 Zaragoza, Spain 3 Departamento de Física Teórica, Univer...