, Volume 19, Issue 3, pp 229–234 | Cite as

On values for generalized characteristic functions

  • Estela Sanchez
  • Gustavo Bergantiños
Theoretical Papers


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.

Key Words

Cooperative games Game-theoretic models 


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.


Kooperative Spiele Spieltheoretische Modelle 


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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Estela Sanchez
    • 1
  • Gustavo Bergantiños
    • 1
  1. 1.Faculty of EconomicsUniversity of VigoVigo, PontevedraSpain

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