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arXiv · 0810.0532

Three New Complexity Results for Resource Allocation Problems

Bart de Keijzer
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Abstract

We prove the following results for task allocation of indivisible resources: - The problem of finding a leximin-maximal resource allocation is in P if the agents have max-utility functions and atomic demands. - Deciding whether a resource allocation is Pareto-optimal is coNP-complete for agents with (1-)additive utility functions. - Deciding whether there exists a Pareto-optimal and envy-free resource allocation is Sigma_2^p-complete for agents with (1-)additive utility functions.

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Bart de Keijzer. 2008-10-17. Three New Complexity Results for Resource Allocation Problems. https://arxiv.org/abs/0810.0532

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