On the interval game-theoretic solutions and their axiomatizations

Abstract

Natural questions for people or businesses that face interval uncertainty in their data when dealing with cooperation are: Which coalitions should form? How to distribute the collective gains or costs? The theory of cooperative interval games is a suitable tool for answering these questions. In this paper, we introduced and characterizated the new interval solutions concepts, i.e. interval CIS-value, interval ENSC-value and interval equal division solution by using cooperative interval games. Finally, we characterizd these interval solutions for two-player games.