Selection-Based Approach to Cooperative Interval Games

Abstract

Cooperative interval games are a generalized model of cooperative games in which worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterization theorems and relations to existing classes based on the interval weakly better operator. We show a new results regarding the core and imputations and examine a problem of equality of two different versions of core, which is the main stability solution of cooperative games. Then we introduce definition of strong imputation and strong core as a universal solution concept of interval games.