This paper deals with the strong constrained egalitarian solution introduced by Dutta and Ray (1991). We show that this solution yields the weak constrained egalitarian allocations (Dutta and Ray, 1989) associated to a finite family of convex games. This relationship makes it possible to define...

The purpose of this paper is to generalize the theory of "equal share analysis", developed by Selten in 1972, to the one in which every player has a positive weight. We show that for any positive vector of weights, it is always possible to find a coalition structure and a payoff vector forming a...

Water scarcity is a growing problem in many regions worldwide. According to the United Nations, around one-fifth of the world's population lives in areas where water is scarce. Another one-quarter of the world's population has to face water supply cuts, mainly because this proportion of the...

In this paper we study the equity core (Selten, 1978) and compare it with the core. A payoff vector is in the equity core if no coalition can divide its value among its members proportionally to a given weight system and, in this way, give more to each member than the amount he or she receives...