A new axiom and interrelationships among coalition values for games in characteristic function form

Abstract

A new axiom which is called dummy coalitions axiom within games in characteristic function form is proposed in this paper. Propositions which show that existing coalition values satisfy the proposed axiom are given. This paper also provides some interrelationships among coalition values. It is shown that there exists complementary relationship between blockability value and viability value. The author also clarifies that blockability value corresponds with profitability value of every coalition in constant-sum game.