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A Value with Incomplete Communication

Author

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  • Hamiache, G.

Abstract

The aim of this paper is to present a new value of a cooperative game for the case of limited communication between players. The communication system we consider may be represented by a simple graph, that is, only pairwise meetings can occur and some of them are not permitted. An associated game is defined and the value has to verify a consistency axiom.

Suggested Citation

  • Hamiache, G., 1997. "A Value with Incomplete Communication," ASSET - Instituto De Economia Publica 169, ASSET (Association of Southern European Economic Theorists).
  • Handle: RePEc:fth:inecpu:169
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    References listed on IDEAS

    as
    1. Rosenthal, Edward C., 1992. "Coalition formation under limited communication," Games and Economic Behavior, Elsevier, vol. 4(3), pages 402-421, July.
    2. Vazquez-Brage, Margarita & Garcia-Jurado, Ignacio & Carreras, Francesc, 1996. "The Owen Value Applied to Games with Graph-Restricted Communication," Games and Economic Behavior, Elsevier, vol. 12(1), pages 42-53, January.
    3. Amer, Rafel & Carreras, Francesc, 1995. "Games and Cooperation Indices," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 239-258.
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    Cited by:

    1. repec:hal:journl:halshs-00881125 is not listed on IDEAS
    2. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    3. Calvo-Armengol, Antoni, 2001. "Bargaining power in communication networks," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 69-87, January.
    4. René Brink & Gerard Laan & Vitaly Pruzhansky, 2011. "Harsanyi power solutions for graph-restricted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 87-110, February.
    5. van den Nouweland, Anne & Slikker, Marco, 2012. "An axiomatic characterization of the position value for network situations," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 266-271.
    6. repec:spr:annopr:v:238:y:2016:i:1:d:10.1007_s10479-016-2109-4 is not listed on IDEAS
    7. repec:spr:compst:v:74:y:2011:i:3:p:427-443 is not listed on IDEAS
    8. Bilbao, J.M. & Jimenez, N. & Lopez, J.J., 2006. "A note on a value with incomplete communication," Games and Economic Behavior, Elsevier, vol. 54(2), pages 419-429, February.
    9. A. Ghintran & E. González-Arangüena & C. Manuel, 2012. "A probabilistic position value," Annals of Operations Research, Springer, vol. 201(1), pages 183-196, December.
    10. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-01207823, HAL.
    11. repec:hal:journl:halshs-01207823 is not listed on IDEAS
    12. Encarnación Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
    13. Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
    14. Bilbao, J.M. & Ordóñez, M., 2009. "Axiomatizations of the Shapley value for games on augmenting systems," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1008-1014, August.
    15. Gérard Hamiache, 2011. "Graph monotonic values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 287-307, July.
    16. Slikker, Marco, 2007. "Bidding for surplus in network allocation problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 493-511, November.
    17. Takashi Ui & Hiroyuki Kojima & Atsushi Kajii, 2011. "The Myerson value for complete coalition structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 427-443, December.
    18. repec:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-014-0054-4 is not listed on IDEAS
    19. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01207823, HAL.

    More about this item

    Keywords

    GAMES ; GRAPHS ; MATRICES;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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