The Generalized Shapley Value of Cooperative Games as a Social Preference Function

We introduce a cardinal social preference rule (CSPR) which accounts for interpersonal comparisons of alternatives in groups and satisfies several desirable properties. The proposed rule transforms voters' individual ordinal preferences to obtain a score for each alternative given by the generalized Shapley value of cooperative games with transferable utilities. Since every CSPR induces an ordinal social preference rule (OSPR) in a natural way, the score vector, we propose in our model, induces a weak preference on the set of alternatives. The proposed CSPR is characterized by using some intuitive axioms.