A SOLUTION MAPPING AND ITS AXIOMATIZATION IN TWO-PERSON INTERVAL GAMES

Abstract

An interval game is an extension of characteristic function form games in which players are assumed to face payoff uncertainty and thus the characteristic function assigns a closed interval, instead of a real number. In this study, we propose a new solution mapping of two-person interval games. We provide a collection of four axioms, consisting of Efficiency, Individual Rationality, and interval game versions of Shapley’s Additivity and Nash’s Independence of Irrelevant Alternatives, and show that the new solution mapping uniquely satisfies these axioms.