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

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  • Guangming Wang

    (School of Management, Shanghai University, Shanghai 200444, China
    School of Mathematical Sciences, University of Jinan, Jinan 250022, China
    These authors contributed equally to this work.)

  • Zeguang Cui

    (School of Management, Shanghai University, Shanghai 200444, China
    These authors contributed equally to this work.)

  • Erfang Shan

    (School of Management, Shanghai University, Shanghai 200444, China
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Guangming Wang & Zeguang Cui & Erfang Shan, 2022. "An Axiomatization of the Value α for Games Restricted by Augmenting Systems," Mathematics, MDPI, vol. 10(15), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2803-:d:882381
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    References listed on IDEAS

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