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Approximation of the yolk by the LP yolk

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  • McKelvey, Richard
  • Tovey, Craig A.
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    Abstract

    If n points are sampled independently from an absolutely continuous distribution with support a convex subset of [real]2, 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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    File URL: http://www.sciencedirect.com/science/article/B6V88-4XBR4HG-1/2/417e4b74de1857d14978bfb0d9e77483
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    Bibliographic Info

    Article provided by Elsevier in its journal Mathematical Social Sciences.

    Volume (Year): 59 (2010)
    Issue (Month): 1 (January)
    Pages: 102-109

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    Handle: RePEc:eee:matsoc:v:59:y:2010:i:1:p:102-109

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    Web page: http://www.elsevier.com/locate/inca/505565

    Related research

    Keywords: Yolk Linear program Probability Voting Social choice;

    References

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    1. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2002. "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Journal of Economic Theory, Elsevier, vol. 103(1), pages 88-105, March.
    2. Tovey, Craig A., 2010. "A critique of distributional analysis in the spatial model," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 88-101, January.
    3. Banks, Jeffrey & Duggan, John & Le Breton, Michel, 2003. "Social Choice and Electoral Competition in the General Spatial Model," IDEI Working Papers 188, Institut d'Économie Industrielle (IDEI), Toulouse.
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    Cited by:
    1. Tovey, Craig A., 2010. "A finite exact algorithm for epsilon-core membership in two dimensions," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 178-180, November.

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