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Fair Allocation with Money: What is Your Objective?

2025/06/23 by Elmalem, Noga Klein, Gonen, Rica, Segal-Halevi, Erel
#Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Economics and business #Theoretical Economics (econ.TH)

paper · doi:10.48550/arxiv.2506.18794

Abstract

When allocating indivisible items, there are various ways to use monetary transfers for eliminating envy. Particularly, one can apply a balanced vector of transfer payments, or charge each agent a positive amount, or -- contrarily -- give each agent a positive amount as a ``subsidy''. In each model, one can aim to minimize the amount of payments used; this aim translates into different optimization objectives in each setting. This note compares the various models, and the relations between upper and lower bounds for these objectives.

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