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Competitive envy-free division

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  • Shao Chin Sung
  • Milan Vlach

Abstract

We are concerned with a fair division problem in which the indivisible “goods” to be distributed among a finite number of individuals have divisible “bads” associated with them. The problem is formulated and analyzed in terms of the housemates problem. We present an efficient procedure that decides whether an envy-free solution exists, and if so, finds one of them; otherwise finds a solution such that each envious housemate is assigned a room whose rent is zero. Copyright Springer-Verlag 2004

Suggested Citation

  • Shao Chin Sung & Milan Vlach, 2004. "Competitive envy-free division," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 103-111, August.
    • Handle: RePEc:spr:sochwe:v:23:y:2004:i:1:p:103-111
    DOI: 10.1007/s00355-003-0240-z
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    Cited by:

    1. Erel Segal-Halevi, 2019. "Generalized Rental Harmony," Papers 1912.13249, arXiv.org, revised Feb 2020.
    2. Azacis, Helmuts, 2008. "Double implementation in a market for indivisible goods with a price constraint," Games and Economic Behavior, Elsevier, vol. 62(1), pages 140-154, January.

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