An Axiomatization of the Value <i>α</i> for Games Restricted by Augmenting Systems

Abstract

The value α for augmenting structures was introduced and axiomatically characterized by Algaba, Bilbao and Slikker. In this paper, we provide a new axiomatization of the value α for augmenting structures by using marginality for augmenting structures and the standard axioms of component efficiency, equal treatment of necessary players and loop-null.

Keywords

• TU-game
• augmenting system
• Shapley value
• marginality
• Myerson value