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Outside options, component efficiency, and stability

  • Casajus, André
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    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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    File URL: http://www.sciencedirect.com/science/article/B6WFW-4P06CHJ-1/2/87d8760817f4a58eb66407a0cade3f1a
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    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
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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    1. Mika Widgrén & Stefan Napel, 2001. "Inferior players in simple games," International Journal of Game Theory, Springer, vol. 30(2), pages 209-220.
    2. Shapley, Lloyd & Shubik, Martin, 2013. "Pure Competition, Coalitional Power, and Fair Division," Economic Policy, Russian Presidential Academy of National Economy and Public Administration, issue 1, pages 146-174, February.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
    9. 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.
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