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Finding Maxmin Allocations in Cooperative and Competitive Fair Division

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  • Marco Dall'Aglio

    (LUISS University Rome, Italy)

  • Camilla Di Luca

    ("G. D'Annunzio" University Pescara, Italy)

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    Abstract

    We consider upper and lower bounds for maxmin allocations of a completely divisible good in both competitive and cooperative strategic contexts. We then derive a subgradient algorithm to compute the exact value up to any fixed degree of precision.

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    File URL: http://www.feem.it/userfiles/attach/20111221122584NDL2011-088.pdf
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    Bibliographic Info

    Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2011.88.

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    Date of creation: Dec 2011
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    Handle: RePEc:fem:femwpa:2011.88

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    Related research

    Keywords: Fair Division; Maxmin Allocation; Kalai Bargaining Solution; Cooperative Game Theory;

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    1. Barbanel, Julius, 1999. "Partition ratios, Pareto optimal cake division, and related notions," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 401-428, December.
    2. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
    3. Brams,Steven J. & Taylor,Alan D., 1996. "Fair Division," Cambridge Books, Cambridge University Press, number 9780521556446.
    4. Legut, Jerzy, 1990. "On totally balanced games arising from cooperation in fair division," Games and Economic Behavior, Elsevier, vol. 2(1), pages 47-60, March.
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