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Envy-Freeness in House Allocation Problems

About

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.

Jiarui Gan, Warut Suksompong, Alexandros A. Voudouris• 2019

Related benchmarks

TaskDatasetResultRank
Envy-Free House AllocationHouse Allocation 0/1 preferences
Sum Score20
1
Envy-Free House AllocationHouse Allocation Identical preferences
Sum20
1
Envy-Free House AllocationHouse Allocation Additive Monotonic preferences
Sum Utility20
1
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