This paper attempts to underline how the Diagonal Transfer Continuity hypothesis (Baye, Tian and Zhou, 1993) and Better-Reply Security (Reny, 1999) are unconnected between themselves as sucient conditions for stating the existence of Nash equilibria. Besides, various examples and counterexamples...

In questo lavoro si considera il problema dello scambio commerciale tra diversi agenti economici utilizzando dei modelli propri della fisica e in particolare della teoria cinetica di un gas rarefatto. La struttura microscopica di un gas è caratterizzata da una miriade di molecole libere di...

To give sucient conditions for Nash Equilibrium existence in a continuous game is a central problem in Game Theory. In this paper, we present two games in which we show how the continuity and quasi-concavity hypotheses are unconnected one to each other. Then, we relax the quasiconcavity...

Some well known relationships about the Nakamura's number and the existence of the core in spatial voting games are illustrated.

We propose an algorithm for computing "main stable sets" recently introduced by Ciardiello, Di Liddo (2009) on effectiveness form coalitional games modeled through a directed pseudograph. The algorithm is based upon a graph traversing method exploring extended paths minimal in coalitions and we...

In this work we explore some properties of on-Neumann-Morgenstern stable sets in the environment of multidimensional spatial voting situations. In our framework, the set of outcomes under consideration is some compact and convex subset of some finite dimensional Euclidean space and any majority...

In this paper we propose the state of art in the theory of coalitional games in effectiveness form without bargaining between coalitions. We study some solution concepts: The largest consistent set (Chwe, 1994); the largest cautious consistent set (Mauleon et al., 2004); the credible consistent...

I present a proof on finiteness of Von Neumann and Morgenstern's majority stable sets in multidimensional voting games in the case of differentiable utility functions on Rk and 3 players. The central hypothesis is based on a light separation property which is real common for family of functions...

A coalition is usually called stable if nobody has an immediate incentive to leave or to enter the coalition since he does not improve his payoff. This myopic behaviour does not consider further deviations which can take place after the first move. Chwe (1994) incorporated the idea of a...