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Record W2624754555

An Empirical Evaluation of Fair-Division Algorithms

2009· article· en· W2624754555 on OpenAlexafffund
N. Dupuis-Roy, Frédéric Gosselin

Bibliographic record

VenueeScholarship (California Digital Library) · 2009
Typearticle
Languageen
FieldDecision Sciences
TopicGame Theory and Applications
Canadian institutionsUniversité de Montréal
FundersNatural Sciences and Engineering Research Council of CanadaFonds Québécois de la Recherche sur la Nature et les Technologies
KeywordsFair divisionDivision (mathematics)Economic JusticeAlgorithmEmpirical researchGenetic algorithmComputer scienceMathematicsMathematical economicsArtificial intelligenceOperations researchArithmeticLawPolitical scienceMachine learningStatistics
DOInot available

Abstract

fetched live from OpenAlex

Fair-division problems are ubiquitous.They range from the day-to-day chore assignments to the Israeli-Palestinian conflict and include the division of an inheritance to the heirs (Brams & Taylor, 1999;Massoud, 2000).Many intuitive and self-implementable algorithms guaranteeing "fairness" have been devised in the past 50 years (Brams & Taylor, 1996).So far, very few empirical studies have put them to the test (Daniel & Parco, 2005; Schneider & Krämer, 2004).In fact, it is not even known to what extent the solutions derived from these algorithms are satisfactory to human players.Here, we present an experiment that investigated the satisfaction of two pairs of players who divided 10 indivisible goods between themselves.A genetic algorithm was used to search for the best division candidates.Results show that some of the best divisions found by the genetic algorithm were rated as more mutually satisfactory than the ones derived from six typical fair-division algorithms.Analyses on temporal fluctuation and non-additivity of preferences could partially explain this result.Ideas for the future implementation of a more flexible and unconstrained approach are discussed.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.043
metaresearch head score (Gemma)0.218
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.043
Threshold uncertainty score0.229

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0430.218
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0030.003
Science and technology studies0.0020.003
Scholarly communication0.0020.003
Open science0.0020.002
Research integrity0.0020.002
Insufficient payload (model declined to judge)0.0040.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.108
GPT teacher head0.389
Teacher spread0.281 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations8
Published2009
Admission routes2
Has abstractyes

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Same venueeScholarship (California Digital Library)Same topicGame Theory and ApplicationsFrench-language works237,207