EGALITARIAN SOLUTION FOR GAMES WITH DISCRETE SIDE PAYMENT

In this paper, we study the egalitarian solution for games with discrete side payment, where characteristic function is integer-valued and payoffs of players are integral vectors. The solution, introduced by Dutta Ray in 1989, a concept transferable utility cooperative form, which combines commitment egalitarianism promotion indivisual interests consistent manner. We first point out that nice properties (in continuous case) do not extend to payment. Then show Lorenz stable set, may be regarded as variant has such Davis–Maschler reduced game property converse property. For proofs utilize recent results convex analysis on decreasing minimization an M-convex set investigated Frank Murota.