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The multichoice consistent value

Author

Listed:
  • Esther GutiÊrrez

    (Departamento de Economi´a Aplicada I, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre, 83, 48015 Bilbao, Spain)

  • Emilio Calvo

    (Departamento de AnÂlisis EconÕmico, Universidad de Valencia, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain)

  • Juan Carlos Santos

    (Departamento de Economi´a Aplicada I, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre, 83, 48015 Bilbao, Spain)

Abstract

We consider multichoice NTU games, i.e., cooperative NTU games in which players can participate in the game with several levels of activity. For these games, we define and characterize axiomatically the multichoice consistent value, which is a generalization of the consistent NTU value for NTU games and of the multichoice value for multichoice TU games. Moreover, we show that this value coincides with the consistent NTU value of a replicated NTU game and we provide a probabilistic interpretation.

Suggested Citation

  • Esther GutiÊrrez & Emilio Calvo & Juan Carlos Santos, 2000. "The multichoice consistent value," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 177-188.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:2:p:177-188
    Note: Received: May 1998/Final version: January 2000
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    Citations

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    Cited by:

    1. Branzei, R. & Tijs, S. & Zarzuelo, J., 2009. "Convex multi-choice games: Characterizations and monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 198(2), pages 571-575, October.
    2. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Discussion Paper 2007-54, Tilburg University, Center for Economic Research.
    3. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Other publications TiSEM 5549df35-acc3-4890-be43-4, Tilburg University, School of Economics and Management.

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