An Axiomatization of the Value α for Games Restricted by Augmenting Systems

Guangming Wang, Zeguang Cui and Erfang Shan ()
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Guangming Wang: School of Management, Shanghai University, Shanghai 200444, China
Zeguang Cui: School of Management, Shanghai University, Shanghai 200444, China
Erfang Shan: School of Management, Shanghai University, Shanghai 200444, China

Mathematics, 2022, vol. 10, issue 15, 1-9

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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