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

作者：Kojima Kentaro^*

来源：Applied Mathematics and Computation, 2013, 224: 705-713.

DOI：10.1016/j.amc.2013.08.090

• Game theory
• Cooperative games
• Influence
• Coalitions

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.

• 出版日期2013-11-1