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arXiv · 2506.18794

Fair Allocation with Money: What is Your Objective?

Noga Klein Elmalem·Rica Gonen·Erel Segal-Halevi
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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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Noga Klein Elmalem, Rica Gonen, Erel Segal-Halevi. 2025-06-23. Fair Allocation with Money: What is Your Objective?. https://arxiv.org/abs/2506.18794

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