A polynomial algorithm for maxmin and minmax envy-free rent division on a soft budget

Rodrigo A. Velez ()
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Rodrigo A. Velez: Texas A&M University

Social Choice and Welfare, 2022, vol. 59, issue 1, No 4, 93-118

Abstract: Abstract The current practice of envy-free rent division, led by the fair allocation website Spliddit, is based on quasi-linear preferences. These preferences rule out agents’ well documented financial constraints. To resolve this issue we consider an extension of the quasi-linear domain that admits differences in agents’ marginal disutility of paying rent below and above a given reference, i.e., a soft budget. We construct a polynomial algorithm to calculate a maxmin utility envy-free allocation, and other related solutions, in this domain.

Date: 2022
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DOI: 10.1007/s00355-021-01386-z

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