Cores and Stable Sets for Interval-Valued Games

Abstract

In this paper, interval-type solution concepts for interval-valued cooperative games like the interval core, the interval dominance core and stable sets are introduced and studied. The notion of I-balancedness is introduced, and it is proved that the interval core of an interval-valued cooperative game is nonempty if and only if the game is I-balanced. Relations between the interval core, the dominance core and stable sets of an interval-valued game are established.

Keywords: cooperative games, interval games, the core, the dominance core, stable sets

JEL Classification: C71