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Modification of Semivalues for Games with Coalition Structures

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  • Rafael Amer
  • José Miguel giménez

Abstract

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  • Rafael Amer & José Miguel giménez, 2003. "Modification of Semivalues for Games with Coalition Structures," Theory and Decision, Springer, vol. 54(3), pages 185-205, May.
  • Handle: RePEc:kap:theord:v:54:y:2003:i:3:p:185-205
    DOI: 10.1023/A:1027353528853
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    References listed on IDEAS

    as
    1. Pradeep Dubey & Abraham Neyman & Robert James Weber, 1981. "Value Theory Without Efficiency," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 122-128, February.
    2. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
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    Citations

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    Cited by:

    1. Carreras, Francesc & Giménez, José Miguel, 2010. "Semivalues: power,potential and multilinear extensions," MPRA Paper 27620, University Library of Munich, Germany.
    2. Rafael Amer & José Giménez & Antonio Magaña, 2012. "Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 105-134, February.
    3. Amer, Rafael & Gimenez, Jose Miguel, 2007. "The two-person blocks as a way to emphasize several semivalues," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 172-184, March.
    4. Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.
    5. Amer, Rafael & Giménez, José Miguel, 2008. "A general procedure to compute mixed modified semivalues for cooperative games with structure of coalition blocks," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 269-282, September.
    6. Rafael Amer & José Giménez & Antonio Magaña, 2013. "Reconstructing a simple game from a uniparametric family of allocations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 505-523, October.
    7. Amer, Rafael & Gimenez, Jose Miguel, 2006. "An axiomatic characterization for regular semivalues," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 217-226, March.
    8. Francesc Carreras & María Albina Puente, 2018. "A note on multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 164-186, April.
    9. Margarita Domènech & José Miguel Giménez & María Albina Puente, 2020. "Some Properties for Bisemivalues on Bicooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 270-288, April.
    10. José Giménez & María Puente, 2015. "A method to calculate generalized mixed modified semivalues: application to the Catalan Parliament (legislature 2012–2016)," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 669-684, October.
    11. Rafael Amer & José Miguel Giménez, 2007. "Technical note: Characterization of binomial semivalues through delegation games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 702-708, September.
    12. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.

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