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Approximation of the yolk by the LP yolk

McKelvey, Richard and Tovey, Craig A. (2010) Approximation of the yolk by the LP yolk. Mathematical Social Sciences, 59 (1). pp. 102-109. ISSN 0165-4896.

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If n points are sampled independently from an absolutely continuous distribution with support a convex subset of R2, then the center and radius of the ball determined by the bounding median lines (the LP yolk) converge with probability one to the center and radius of the yolk. The linear program of McKelvey (1986) is therefore an effective heuristic for computing the yolk in large samples. This result partially explains the results of numerical experiments in Koehler (1992), where the bounding median lines always produced a radius within 2% of the yolk radius.

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Additional Information:© 2009 Elsevier B.V. Received 5 June 2008; revised 25 July 2009; accepted 16 September 2009. Available online 30 September 2009. The first author’s research was supported in part by National Science Foundation Grant #SES9011828 to the California Institute of Technology. The second author’s research was supported by a Presidential Young Investigator Award from the National Science Foundation (ECS-8451032), and a Senior Research Associateship from the National Research Council.
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NSF Presidential Young Investigator AwardECS-8451032
National Research CouncilUNSPECIFIED
Subject Keywords:Yolk; Linear program; Probability; Voting; Social choice
Issue or Number:1
Classification Code:JEL classification codes: D71; D72; C63; C79
Record Number:CaltechAUTHORS:20100324-121204981
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17797
Deposited By: Joy Painter
Deposited On:30 Mar 2010 17:20
Last Modified:03 Oct 2019 01:33

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