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Weighted weak semivalues

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Author Info

  • E. Calvo

    ()
    (Departamento de AnÂlisis EconÕmico, Universidad de Valencia, Campus dels Tarongers, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain Departamento de Economi´a Aplicada 1, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre 83, 48015 Bilbao, Spain)

  • Juan Carlos Santos

    ()
    (Departamento de AnÂlisis EconÕmico, Universidad de Valencia, Campus dels Tarongers, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain Departamento de Economi´a Aplicada 1, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre 83, 48015 Bilbao, Spain)

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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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 29 (2000)
Issue (Month): 1 ()
Pages: 1-9

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Handle: RePEc:spr:jogath:v:29:y:2000:i:1:p:1-9

Note: Received: March 1998/revised version: October 1998
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Web page: http://link.springer.de/link/service/journals/00182/index.htm

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Related research

Keywords: Probabilistic values; semivalues; weighted Shapley values;

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Citations

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Cited by:
  1. M. Albizuri & Annick Laruelle, 2013. "An axiomatization of success," Social Choice and Welfare, Springer, vol. 41(1), pages 145-155, June.
    • Laruelle, Annick & Albizuri Irigoyen, Miren Josune, 2011. "An axiomatization of success," IKERLANAK 2011-49, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. Gómez-Rúa, María & Vidal-Puga, Juan, 2008. "Balanced per capita contributions and levels structure of cooperation," MPRA Paper 8208, University Library of Munich, Germany.
  3. Federico Valenciano & Annick Laruelle, 2003. "Potential, Value And Probability," Working Papers. Serie AD 2003-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Pritchard, Geoffrey & Reyhani, Reyhaneh & Wilson, Mark C., 2013. "Power measures derived from the sequential query process," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 174-180.
  5. Radzik, Tadeusz, 2012. "A new look at the role of players’ weights in the weighted Shapley value," European Journal of Operational Research, Elsevier, vol. 223(2), pages 407-416.
  6. Annick Laruelle & Federico Valenciano, 2008. "Potential, value, and coalition formation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 73-89, July.
  7. Federico Valenciano & Annick Laruelle, 2000. "- Shapley-Shubik And Banzhaf Indices Revisited," Working Papers. Serie AD 2000-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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