Multi-Choice Total Clan Games: Characterizations and Solution Concepts

Abstract

This paper deals with a new class of multi-choice games, the class of multi-choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes related to players' levels are introduced for such games. It turns out that some elements in the core of a multi-choice total clan game are extendable to such bi-monotonic allocation schemes via suitable compensation-sharing rules on the domain of multi-choice (total) clan games.

Keywords: Multi-choice games, Clan games, Monotonic allocation schemes

JEL Classification: C71