A-potential function and a non-cooperative foundation for the Solidarity value

Marginanism and egalitarianism are two main standpoints in economics. The Shapley value has been characterized in many ways from the view of marginalism. In this paper, we characterize the Solidarity value with respect to the egalitarianism by three approaches applied to the Shapley value. We introduce a revised potential function and deduce the recursive formula of the Solidarity value. It is also characterized by the property of quasi-balanced contributions. Finally, we provide a non-cooperative procedure leading to the Solidarity value.