Meaningful and meaningless solutions for cooperative n-person games

Game values often represent data that can be measured in more than one acceptable way (e.g., monetary amounts). We point out that in such a case a statement about cooperative n-person game models might be ‘meaningless’ in the sense that its truth or falsity depends on the choice of an acceptable way to measure game values. In particular, we analyze statements about solution concepts such as the core, stable sets, the nucleolus, the Shapley value (and some of its generalizations).