Some indices of coalition influence based on preference distance for group decision

Abstract

This paper proposes some indices which express coalition influence based on preference distance for group decision. The proposed indices are derived from coalition preference distance that is defined for social welfare function which is a model of group decision. Some examples which show how the proposed indices work are provided. Some properties that the coalition indices generally satisfy are also given in this paper. Some propositions which shows that the proposed indices for coalitions satisfy the proposed properties are provided.