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On the core, the Weber set and convexity in games with a priori unions

  • Pulido, Manuel A.
  • Sánchez-Soriano, Joaquín
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    This paper deals with the concepts of core and Weber set with a priori unions à la Owen. As far as we know, the Owen approach to games with a priori unions has never been studied from the coalitional stability point of view. Thus we introduce the coalitional core and coalitional Weber set and characterize the class of convex games with a priori unions by means of the relationships between both solution concepts.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4R6B2K0-5/2/1c0a1b5ec2ec3a81fbbd4fe7ac70af7b
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 2 (March)
    Pages: 468-475

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:468-475
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    2. repec:spr:compst:v:66:y:2007:i:2:p:255-261 is not listed on IDEAS
    3. Hamiache, Gerard, 1999. "A new axiomatization of the Owen value for games with coalition structures," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 281-305, May.
    4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
    5. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    6. Pulido, Manuel A. & Sanchez-Soriano, Joaquin, 2006. "Characterization of the core in games with restricted cooperation," European Journal of Operational Research, Elsevier, vol. 175(2), pages 860-869, December.
    7. Vazquez-Brage, M. & van den Nouweland, A. & Garcia-Jurado, I., 1997. "Owen's coalitional value and aircraft landing fees," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 273-286, October.
    8. Winter, Eyal, 1992. "The consistency and potential for values of games with coalition structure," Games and Economic Behavior, Elsevier, vol. 4(1), pages 132-144, January.
    9. repec:ner:tilbur:urn:nbn:nl:ui:12-154226 is not listed on IDEAS
    10. Curiel, I. & Tijs, S.H., 1991. "Minimarg and the maximarg operators," Other publications TiSEM 1f024ef6-4383-41ae-aba6-0, Tilburg University, School of Economics and Management.
    11. Albizuri, M.J. & Aurrecoechea, J. & Zarzuelo, J.M., 2006. "Configuration values: Extensions of the coalitional Owen value," Games and Economic Behavior, Elsevier, vol. 57(1), pages 1-17, October.
    12. Carreras, Francesc & Owen, Guillermo, 1988. "Evaluation of the Catalonian Parliament, 1980-1984," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 87-92, February.
    13. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
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