A simple procedure for computing strong constrained egalitarian allocations

• BSE Working Paper: 110799 | September 15
• Keywords: Cooperative TU-game , Strong Constrained Egalitarian Solution , Weak Constrained Egalitarian Solution , Equal Division Core , Lorenz Domination
• JEL codes: C71, C78
• Cooperative TU-game
• Strong Constrained Egalitarian Solution
• Weak Constrained Egalitarian Solution
• Equal Division Core
• Lorenz Domination

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 a systematic way of computing the strong constrained egalitarian allocations for any arbitrary game, using the well-known Dutta-Rayís algorithm for convex games. We also characterize non-emptiness and show that the set of strong constrained egalitarian allocations Lorenz dominates every other point in the equal division core (Selten, 1972).