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Fair allocation of indivisible goods: the two-agent case

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  • RAMAEKERS, Eve

Abstract

One must allocate a finite set of indivisible goods among two agents without monetary compensation. We impose Pareto-efficiency, anonymity, a weak notion of no-envy, a welfare lower bound based on each agent’s ranking of the subsets of goods, and a monotonicity property w.r.t. changes in preferences. We prove that there is a rule satisfying these axioms. If there are three goods, it is the only rule, together with one of its subcorrespondences, satisfying each fairness axiom and not discriminating between goods. Copyright Springer-Verlag 2013
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Suggested Citation

  • RAMAEKERS, Eve, 2013. "Fair allocation of indivisible goods: the two-agent case," LIDAM Reprints CORE 2483, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2483
    DOI: 10.1007/s00355-012-0684-0
    Note: In : Social Choice and Welfare, 41(2), 359-380, 2013
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    Cited by:

    1. Brams, Steven J. & Kilgour, D. Marc & Klamler, Christian, 2014. "An algorithm for the proportional division of indivisible items," MPRA Paper 56587, University Library of Munich, Germany.
    2. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.

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