The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties. Although computing the nucleolus is very challenging, the Kohlberg criterion offers a method for verifying whether a solution is the nucleolus in relatively small games (number of...

The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties. Although computing the nucleolus is very challenging, the Kohlberg criterion offers a method for verifying whether a solution is the nucleolus in relatively small games (number of...

Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points...

The extended Chinese postman (CP) enterprize is induced by a connected and undirected graph G. A server is located at some fixed vertex of G, to be referred to as the post office. Each player resides in a single edge, and each edge contains at most one player. Thus, some of the edges can be...

On the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies derived consistency (Owen, 1992) and complaint mono- tonicity on sectors size. As a consequence, we obtain a geometric characterization of the nucleolus by means of a strong form of...

It is well known that, in distributions problems, "Fairness" rarely leads to a single viewpoint (see Young (1994) and Moulin (1988) among many others). This paper provides, in this context, interesting basis in defense of intermediate agreements when two prominent proposals, representing...

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff distributions to every TU-game. In the literature various models of games...

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...