Meaningful and Meaningless Solutions for Cooperative N-person Games

Abstract

Game values often represent data that can be measured in morethan one acceptable way (e.g. monetary amounts). We point out thatin such a case a statement about cooperative n-person game modelmight be "meaningless" in the sense that its truth or falsity depends onthe choice of an acceptable way to measure game values. In particularwe analyze statements about solution concepts such as the core, stablesets, the nucleolus, the Shapley value (and its generalizations).Keywords: Cooperative n-person Games, Measurement, SensitivityAnalysis