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New research advances approximate envy-free allocation of goods

Researchers have advanced the study of approximate envy-freeness in the allocation of indivisible goods. The paper introduces new results for $2/3$-EFX allocations, which are a relaxation of exact EFX. These findings extend to scenarios with up to seven agents, or when agents' valuation functions have at most three values, or can be represented by a multigraph. The work pushes the boundaries of existence and computation for approximate EFX allocations. AI

RANK_REASON Academic paper on algorithmic game theory. [lever_c_demoted from research: ic=1 ai=0.1]

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New research advances approximate envy-free allocation of goods

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Academic paper on algorithmic game theory. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Georgios Amanatidis, Aris Filos-Ratsikas, Alkmini Sgouritsa ·

    Pushing the Frontier on Approximate EFX Allocations

    arXiv:2406.12413v3 Announce Type: replace-cross Abstract: We study the problem of allocating a set of indivisible goods to a set of agents with additive valuation functions, aiming to achieve approximate envy-freeness up to any good ($\alpha$-EFX). The state-of-the-art results on…