In this paper conditions are given guaranteeing that the Core equals the D-core (the set of unDominated imputations). Under these conditions, we prove the non-emptiness of the intersection of the Weber set with the imputation set. This intersection has a special stability property: it is...

A new way is presented to define for minimum cost spanning tree (mcst-) games the irreducible core, which is introduced by Bird in 1976. The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for...

Stochastic Cooperative Games: Theory and Applications -- Sequencing Games: a Survey -- Game Theory and the Market -- On the Number of Extreme Points of the Core of a Transferable Utility Game -- Consistency and Potentials in Cooperative TU-Games: Sobolev’s Reduced Game Revived -- On the Set of...

The egalitarian solution for TU-games as introduced by Dutta and Ray [3] is studied. Two characterizations of the restriction of this solution to the class of convex games are given, using weak variants of the reduced game properties of Hart and Mas-Colell [6] and Davis and Maschler [5]. The...

In this paper we study the endogenous formation of cooperation structures or communication graphs between players in a superadditive TU game. For each cooperation structure that is formed, the payoffs to the players are determined by an exogenously given solution. We model the process of...

Finite potential games are determined, i.e. have Nash-equilibria in pure strategies.In this paper we investigate the determinateness of potential games, in which one or more players have infinitely many pure strategies

A class of non cooperative games characterized by a "congestion effect" is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy profiles maximizing the potential function coincide. The structure of the...

We consider a market situation with two corners. One corner consists of a single seller with one object, and the other corner consists of potential buyers who all want the object. We suppose that the valuations of the object for the different buyers are known by all of them. Then two types of...