By generalizing the standard solution for 2-person games into n-person cases, this paper develops a new solution concept for cooperative games: the consensus value.We characterize the consensus value as the unique function that satisfies efficiency, symmetry, the quasi dummy property and...

This paper studies a generalization of the consensus value (cf.Ju, Borm and Ruys (2004)) to the class of partition function form games.The concepts and axioms, related to the consensus value, are extended.This value is characterized as the unique function that satisfies efficiency, complete...

This paper analyzes the compromise social choice correspondence derived from the F-value of digraph games.Among other things monotonicity of this correspondence is shown

This paper provides a framework for implementing and comparing several solution concepts for transferable utility cooperative games.We construct bidding mechanisms where players bid for the role of the proposer.The mechanisms differ in the power awarded to the proposer.The Shapley, consensus and...

In this paper, we examine the question of which coalition structures farsighted players form in coalition formation games with externalities. We introduce a stability concept for a coalition structure called a sequentially stable coalition structure. Our concept of domination between two...

AMS Classifications: 91A06; 91A10; 91A12

The classical literature (Pigou (1920), Coase (1960), Arrow (1970)) and the relatively recent studies (cf.Varian (1994)) associate the externality problem with efficiency.This paper focuses explicitly on the compensation problem in the context of externalities.To capture the features of...

A basic issue in transboundary fishery management is the new member problem. In this paper we address the problem of allocating the profits between the charter members and the entrants, once the nations concerned have expressed an interest in achieving an agreement.Using game theory we argue...

This paper provides an overview of the various shapes the best- reply multifunctions can take in 2×2×2 trimatrix games. It is shown that, unlike in 2×2 bimatrix games, the best replies to the opponents’ pure strategies do not completely determine the structure of the Nash equilibrium set.

In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games).Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems.Also the class of convex...