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Outside options, component efficiency, and stability

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  • Casajus, André
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    Abstract

    In this paper, we introduce a component efficient value for TU games with a coalition structure which reflects the outside options of players within the same structural coalition. It is based on the idea that splitting a coalition should affect players who stay together in the same way. We show that for all TU games there is a coalition structure that is stable with respect to this value.

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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 65 (2009)
    Issue (Month): 1 (January)
    Pages: 49-61

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    Handle: RePEc:eee:gamebe:v:65:y:2009:i:1:p:49-61

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    Web page: http://www.elsevier.com/locate/inca/622836

    Related research

    Keywords: TU game Partition function form game Outside option Splitting Coalition structure Stability;

    References

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    1. Napel, Stefan & WidgrÉn, Mika, 2000. "Inferior Players in Simple Games," Discussion Papers 734, The Research Institute of the Finnish Economy.
    2. Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
    3. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667 Elsevier.
    4. Shapley, Lloyd S & Shubik, Martin, 1969. "Pure Competition, Coalitional Power, and Fair Division," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 337-62, October.
    5. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
    6. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    7. Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer, vol. 23(1), pages 43-48.
    8. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
    9. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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    Cited by:
    1. Tobias Hiller, 2011. "Effizienz und Stabilität von Zweckverbänden," Jahrbuch für Regionalwissenschaft, Springer, vol. 31(1), pages 1-9, June.
    2. Casajus, André & Tutić, Andreas, 2013. "Nash bargaining, Shapley threats, and outside options," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 262-267.
    3. Yoshio Kamijo, 2013. "The collective value: a new solution for games with coalition structures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 21(3), pages 572-589, October.
    4. Tobias Hiller, 2011. "A note on χ-values," International Review of Economics, Springer, vol. 58(4), pages 433-438, December.
    5. Emilio Calvo & Maria Esther Gutierrez, 2010. "Solidarity in games with a coalition structure," Discussion Papers in Economic Behaviour 0810, University of Valencia, ERI-CES.

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