Convex Multi-Choice Cooperative Games and Their Monotonic Allocation Schemes

Abstract

This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.

Keywords: Multi-choice games, Convex games, Marginal games, Weber set, Monotonic allocation schemes

JEL Classification: C71