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Is the solidarity value close to the equal split value?

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  • Radzik, Tadeusz
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    Abstract

    In the paper we study the asymptotic behavior of the solidarity value and the equal split value in different classes of cooperative games. In particular, we discuss three natural definitions of asymptotic equivalence of values for TU-games, and identify for each of them the classes of games for which the solidarity value and the equal split value are equivalent. Also, a computer illustration of the obtained results is given.

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    Bibliographic Info

    Article provided by Elsevier in its journal Mathematical Social Sciences.

    Volume (Year): 65 (2013)
    Issue (Month): 3 ()
    Pages: 195-202

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    Handle: RePEc:eee:matsoc:v:65:y:2013:i:3:p:195-202

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    Web page: http://www.elsevier.com/locate/inca/505565

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    1. Emilio Calvo, 2008. "Random marginal and random removal values," International Journal of Game Theory, Springer, vol. 37(4), pages 533-563, December.
    2. Chameni Nembua, Célestin, 2010. "Linear efficient and symmetric values for TU-games: sharing the joint gain of cooperation," MPRA Paper 31249, University Library of Munich, Germany, revised 2010.
    3. Casajus, André, 2012. "Solidarity and fair taxation in TU games," Working Papers 111, University of Leipzig, Faculty of Economics and Management Science.
    4. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
    5. Yeon-Koo Che & Fuhito Kojima, 2010. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Econometrica, Econometric Society, vol. 78(5), pages 1625-1672, 09.
    6. Emilio Calvo & Esther Gutiérrez, 2012. "Weighted Solidarity Values," Discussion Papers in Economic Behaviour 0212, University of Valencia, ERI-CES.
    7. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    8. 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.
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    Cited by:
    1. Casajus, André & Huettner, Frank, 2014. "On a class of solidarity values," European Journal of Operational Research, Elsevier, vol. 236(2), pages 583-591.

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