Lexicographical solutions using the excess of player for n-person cooperative games

An excess of coalition does not include a strength or contribution of a coalition in a cooperative n-person game. From such a viewpoint, generalized definitions have been proposed for the excess. In this paper, generalized excesses of player based on the excess of coalition are introduced. This concept represents conflicts between players in a game. Then the authors propose new lexicographical solution concepts using the generalized excess of player and consider properties of those solutions. The methods which can solve them are formulated as linear programming problems. An illustrative numerical example of the proposed solution concepts is presented and then the proposed solution and related solutions are compared. [In Japanese.]