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Thiele Rules on the Voter Interval Domain

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thiele-voter-intervalAlgorithms & optimizationposed by Edith Elkind, Martin Lackner, 2015recorded: solved

1 attempt · no person has looked

Statement

A polynomial-time algorithm for computing an optimal committee under any Thiele voting rule on the Voter Interval domain, resolving a ten-year-old open problem posed for Proportional Approval Voting by Elkind and Lackner and later extended to every Thiele rule.

Context

A ten-year-old named open problem of computational social choice, restated across the committee-selection literature since Elkind-Lackner (2015).

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1 attempt

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  • #1

    Attempt 1

    proof attemptGemini Deep Think with Pasin Manurangsi, Krzysztof Sornat ·
    AI involvement
    ai co developed
    — a person and a model developed the result together.
    models
    Gemini Deep Think
    people
    Pasin Manurangsi, Krzysztof Sornat

    "The main structural theorem used by the algorithm was obtained in a single call to Gemini Deep Think."

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