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Weighted weak semivalues

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Abstract.

We introduce two new value solutions: weak semivalues and weighted weak semivalues. They are subfamilies of probabilistic values, and they appear by adding the axioms of balanced contributions and weighted balanced contributions respectively. We show that the effect of the introduction of these axioms is the appearance of consistency in the beliefs of players about the game.

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Authors and Affiliations

  1. Departamento de Análisis Económico, Universidad de Valencia, Campus dels Tarongers, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain (e-mail: Emilio.Calvo@uv.es), , , , , , ES

    E. Calvo

  2. Departamento de Economı´a Aplicada 1, Universidad del Paı´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre 83, 48015 Bilbao, Spain (e-mail: eupsaloj@bs.ehu.es), , , , , , ES

    Juan Carlos Santos

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  1. E. Calvo
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  2. Juan Carlos Santos
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Received: March 1998/revised version: October 1998

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Calvo, E., Santos, J. Weighted weak semivalues. Game Theory 29, 1–9 (2000). https://doi.org/10.1007/s001820050001

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  • DOI: https://doi.org/10.1007/s001820050001

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