Meaningful and Meaningless Solutions for Cooperative N-person Games

Abstract

<p>Game values often represent data that can be measured in more<br />than one acceptable way (e.g. monetary amounts). We point out that<br />in such a case a statement about cooperative n-person game model<br />might be "meaningless" in the sense that its truth or falsity depends on<br />the choice of an acceptable way to measure game values. In particular<br />we analyze statements about solution concepts such as the core, stable<br />sets, the nucleolus, the Shapley value (and its generalizations).</p><p>Keywords: Cooperative n-person Games, Measurement, Sensitivity<br />Analysis.</p>