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Research map / Learning theory and algorithms / Submodular and game algorithms

Groupwise Maximin Fair Allocation of Indivisible Goods

AAAI 2018 · Learning theory and algorithms › Submodular and game algorithms · approach: Fair division of indivisible goods · 50 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the polynomial-time EFL allocation algorithmAdditive-valuation fair allocation · Additive valuationsGMMS approximation guarantee: 1/2Helped
Apply the EFL algorithm to randomly generated instancesEFL algorithm · 1000 random instancesAverage GMMS approximation factor: 0.98Helped
Use the EFL algorithm instead of exact GMMS computationGMMS computation · Random instancesRuntime: 10^7 times fasterHelped
Strengthen MMS to groupwise maximin share fairnessIndivisible-goods allocation · Additive valuationsFairness guaranteeHelped
Use EF1 allocations under binary valuationsAdditive, binary valuations · Additive, binary valuationsGMMS allocation existenceHelped
Choose a lexicographically maximal allocationAgents with identical valuations · Identical valuationsGMMS allocation existenceHelped
Use the EFL algorithm on same-order preference instancesEFL algorithm · Same-order preferences versus non-SOP instancesAverage GMMS approximation factorHurt
Use the EFL algorithm when the number of items is a multiple of the number of agentsEFL algorithm · Randomly generated instancesGMMS approximation factorHelped
Use the EFL algorithm rather than arbitrary-order good assignmentFair allocation algorithm · Additive valuationsEFL guaranteeHelped

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