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On values for generalized characteristic functions

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Abstract

In this work we study a new generalization for the Shapley value. We consider games in coalitional form in which the characteristic function is defined on all possible orders. These games are useful to model some economic situations. Different axiomatic characterizations are found for the new value using marginality, balanced contributions, the potential and the consistency property.

Zusammenfassung

In dieser Arbeit wird eine Verallgemeinerung des Shapley-Wertes eingeführt und untersucht. Bei den zugrundeliegenden Spielen in Koalitionsform, die zur Modellierung einiger ökonomischer Sachverhalte geeignet sind, ist die charakteristische Funktion über allen Reihenfolgen der Koalitionsbildung definiert. Basierend auf den bekannten Eigenschaften des Shapley-Wertes werden verschiedene axiomatische Charakterisierungen dargestellt.

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Authors and Affiliations

  1. Faculty of Economics, University of Vigo, Lagoas-Marcosende, E-36271, Vigo, Pontevedra, Spain

    Estela Sanchez & Gustavo Bergantiños

Authors
  1. Estela Sanchez
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  2. Gustavo Bergantiños
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Additional information

The authors are grateful to I. Garćia-Jurado for helpful comments and the Spanish Ministry of Education and XUNTA of Galicia for financial support through grants PB94-0648-C01-02 and XUGA20704B95

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Sanchez, E., Bergantiños, G. On values for generalized characteristic functions. OR Spektrum 19, 229–234 (1997). https://doi.org/10.1007/BF01545593

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  • DOI: https://doi.org/10.1007/BF01545593

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