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arXiv · 1905.00468

Envy-Freeness in House Allocation Problems

Jiarui Gan·Warut Suksompong·Alexandros A. Voudouris
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Abstract

We consider the house allocation problem, where $m$ houses are to be assigned to $n$ agents so that each agent gets exactly one house. We present a polynomial-time algorithm that determines whether an envy-free assignment exists, and if so, computes one such assignment. We also show that an envy-free assignment exists with high probability if the number of houses exceeds the number of agents by a logarithmic factor.

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Jiarui Gan, Warut Suksompong, Alexandros A. Voudouris. 2019-05-01. Envy-Freeness in House Allocation Problems. https://doi.org/10.1016/j.mathsocsci.2019.07.005

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