Reduced game and constrained egalitarianism

Abstract

This paper introduces two values for cooperative games, called the constrained equal individual worth value and the constrained equal marginal contribution value, respectively. We show that the first value is the unique value satisfying the bilateral projection reduced game property and constrained egalitarianism, and the second one is the unique value satisfying the bilateral complement reduced game property and constrained egalitarianism. Replacing constrained egalitarianism by other properties, we provide another axiomatization for each value.