A Value for Multi-alternative Games with Restricted Coalitions under the Equally Divided Spoils Assumption

摘要

This paper deals with cooperative games with n players and r alternatives which are called multi-alternative games with restricted choice situations. In these games, a value based on marginal contributions has been proposed. Many well-known values such as the Shapley value and the Banzhaf value are based on marginal contributions. On the other hand, some values such as the Deegan-Packel value are based on equally divided payoffs. Then, in this paper, we investigate a value based on equally divided payoffs for multi-alternative games with restricted choice situations.