This paper aims to give a global vision concerning the state of the art of studies on 13 power indices and to establish which of them are more suitable for describing the real situations which are, from time to time, taken into consideration. In such contexts, different comparisons have been...

This paper presents a review of literature on simple games and highlights various open problems concerning such games; in particular, weighted games and power indices.

This paper starts from a classical fair division situation of allocating an object among a set of agents. The problem is studied from both a cooperative and a bankruptcy point of view, analyzing the fairness properties of the proposed solutions.

Recently it is proved that all infinite assignment games have a non-empty core. Using this fact, and a technique suggested by L. S. Shapley for finite permutation games, we prove similar results for infinite permutation games. Infinite transportation games can be interpreted as a generalization...