Cores and Related Solution Concepts for Multi-Choice Games

摘要

A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. Cooperative games form a subclass of the class of multi-choice games. The paper extends some solution concepts for cooperative games to multi-choice games. In particular, the notions of core, dominance core, Weber set, stable sets and subsolutions are extended. Relations between cores and dominance cores and between cores and Weber sets are extensively studied. A class of flow games is introduced and relations with non-negative games with non-empty cores are investigated.