Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods or payoffs achievable through cooperation....

In this paper we will describe a class of three-person games and draw general conclusions about non-cooperative behavior in them.

The paper deals with the literature on social evolution.

This paper explores the quantitative relation between non-random, assortative matching and the maintenance of cooperative behavior under evolutionary dynamics.

A set of agents stand to receive a service. No two agents can be served simultaneously. A Queue has been organized, and agents having to wait should receive monetary compensations. We characterize the rule assigning positions in the queue and compensations corresponding to the payoffs...

Consider a group of individuals who have to collectively choose an outcome from a finite set of feasible alternatives. A scoring or positional rule is an aggregation procedure where each voter awards a given number of points, Wj, to the alternative she ranks in Jth position in her preference...

In this paper it is shown that the core and the bargaining sets of Davis-Maschler and Zhou coincide in a class of shortest path games.

A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.

A contingent contract in a transferable utility game under uncertainty specifies an outcome for each possible state. It is assumed that coalitions evaluate these contracts by considering the minimal possible excesses. A main question of the paper concerns the existence and characterization of...

We consider repeated games with transferable utility: players have an endowment of wealth in each period in which transfers can be made. We show that if endowments are large enough and the comon discount factor high enough, then a trongly renegotiation-proof equilibrium (SRP) in the sense of...