The Shapley-Ichiishi result states that a game is convex if and only if the convex hull of marginal vectors equals the core. In this paper we generalize this result by distinguishing equivalence classes of balanced games that share the same core structure. We then associate a system of linear...

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.

Different axiomatizations of the Shapley value for TU games can be found in the literature. The Shapley value has been generalized in several ways to the class of games in partition function form. In this paper we discuss another generalization of the Shapley value and provide a characterization.

This paper applies game theory to address the problem of allocating profits among fishing nations, once the countries concerned have expressed an interest in achieving an agreement through a Regional Fishery Management Organization (RFMO). Proposing the population monotonic allocation scheme as...

This paper addresses the two main problems that Regional Fishery Management Organizations face. First, how to induce independent nations to reduce their fishing efforts from the competitive equilibrium to prevent the fish stock from extinction or to increase profits. We argue that adjustment...

This paper addresses the two main problems that Regional Fishery Management Organizations face. First, how to induce independent nations to reduce their fishing efforts from the competitive equilibrium to prevent the fish stock from extinction or to increase profits. We argue that adjustment...