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Scoring from Contests

Bibliographic Data

ID12370700
AuthorsKeith E Schnakenberg (0000-0001-6997-5656, Washington University in St. Louis), Elizabeth Maggie Penn (0000-0002-2018-4367, Washington University in St. Louis)
Year2013
Volume22
Issue1
Pages86-114
Publication date2013-09-25
Open AccessYes
TypeARTICLE
VenuePolitical Analysis (JOURNAL)
Journal identifiersISSN: 1047-1987 • E-ISSN: 1476-4989
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1093/pan/mpt018
PMID24748759
PMCIDPMC3991388
OpenAlexW1970845479
LanguageEN
Citations received1
References cited16

This article presents a new model for scoring alternatives from “contest” outcomes. The model is a generalization of the method of paired comparison to accommodate comparisons between arbitrarily sized sets of alternatives in which outcomes are any division of a fixed prize. Our approach is also applicable to contests between varying quantities of alternatives. We prove that under a reasonable condition on the comparability of alternatives, there exists a unique collection of scores that produces accurate estimates of the overall performance of each alternative and satisfies a well-known axiom regarding choice probabilities. We apply the method to several problems in which varying choice sets and continuous outcomes may create problems for standard scoring methods. These problems include measuring centrality in network data and the scoring of political candidates via a “feeling thermometer.” In the latter case, we also use the method to uncover and solve a potential difficulty with common methods of rescaling thermometer data to account for issues of interpersonal comparability

Axiom · Comparability · CONTEST · Generalization · Pairwise comparison · Computer Science · Experimental Behavioral Economics Studies · Game Theory and Applications · Game Theory and Voting Systems · Mathematics · Artificial Intelligence

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Citations per year0.33
Citation span2023 - 2023 (1)
Highly citedNo

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