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Finding Maxmin Allocations in Cooperative and Competitive Fair Division

  • Marco Dall'Aglio

    (LUISS University Rome, Italy)

  • Camilla Di Luca

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

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    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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    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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    1. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. repec:cup:cbooks:9780521556446 is not listed on IDEAS
    3. Legut, J. & Potters, J.A.M. & Tijs, S.H., 1994. "Economies with land : A game theoretical approach," Other publications TiSEM 37ff121d-d79c-4e41-a06a-9, Tilburg University, School of Economics and Management.
    4. Barbanel, Julius, 1999. "Partition ratios, Pareto optimal cake division, and related notions," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 401-428, December.
    5. 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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