No abstract received.

No abstract received.

A technique is proposed to represent games in characteristic function form as games in normal form, enabling the former to exploit the concepts of solution of the latter. A new solution for games in characteristic function form is then introduced and some properties are found. A generalization...

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.

In this paper, we present two real-world situations in which the standard hypotheses of a bargaining problem do not hold, and discuss how to tackle these situations.

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...

We consider a von Neumann–Morgenstern market game and present a simple expression for the Shapley value via decomposition as the difference of an airport game and an extended airport game. The resulting formula has a useful interpretation for designing an allocation procedure among the agents.

The issue of veto may play an important role in an approval situation, mainly in political science, where several scholars dealt with this topic. In this survey we want to update the state-of-the-art, paying particular attention to the open problems that various authors pointed out in their...

Location problems describe those situations in which one or more facilities have to be placed in a region trying to optimize a suitable objective function. Game theory has been used as a tool to solve location problems and this paper is devoted to describe the state-of-the-art of the research on...