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Almost envy-free allocation of indivisible goods: A tale of two valuations

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On the existence of EFX allocations in multigraphs

cs.GT · 2025-02-13 · conditional · novelty 7.0

EFX allocations always exist for general monotone valuations in bipartite multigraphs, in multigraphs where each agent has at most ceil(n/4)-1 neighbors, and in multigraphs whose shortest non-parallel cycle has length at least 6.

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  • On the existence of EFX allocations in multigraphs cs.GT · 2025-02-13 · conditional · none · ref 29

    EFX allocations always exist for general monotone valuations in bipartite multigraphs, in multigraphs where each agent has at most ceil(n/4)-1 neighbors, and in multigraphs whose shortest non-parallel cycle has length at least 6.