Cooperation in Intergroup, N-Person, and Two-Person Games of Chicken

Cooperation in Intergroup, N-Person, and Two-Person Games of Chicken

The authors introduce a new team game, the intergroup chicken game, to model intergroup conflicts involving bilateral threats (e.g., military conflicts, industrial disputes). The group that wins the game is the one that competes while the other group yields, and the benefits associated with winning (e.g., territory, higher wages) are public goods for the members of that group. However, a failur...

A Closed-Form Formula for the Fair Allocation of Gains in Cooperative N-Person Games

Abstract   This paper provides a closed-form optimal solution to the multi-objective model of the fair allocation of gains obtained by cooperation among all players. The optimality of the proposed solution is first proved. Then, the properties of the proposed solution are investigated. At the end, a numerical example in inventory control environment is given to demonstrate the application and t...

Zero-Sum Two Person 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...

Equilibrium Points in N - Person Games

* This note arose from consultations during the tenure of a John Simon Guggenheim Memorial Fellowship by MacLane. ' Whitehead, J. H. C., "Combinatorial Homotopy I and II," Bull. A.M.S., 55, 214-245 and 453-496 (1949). We refer to these papers as CH I and CH II, respectively. ' By a complex we shall mean a connected CW complex, as defined in §5 of CH I. We do not restrict ourselres to finite com...