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The finagle point and the epsilon-core: A comment on Bräuninger’s proof

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  • Craig A Tovey

    (Georgia Tech School of ISyE, USA, ctovey@isye.gatech.edu)

Abstract

The finagle point, the epsilon-core, and the yolk are all predictors of majority-rule decision-making in spatial voting models. These predictors each minimize a radius needed in some sense to alter preferences so as to achieve stability. Brauninger showed that the finagle radius is never smaller than the epsilon-core radius, and claimed that the finagle point is within the epsilon core. This article shows that the finagle radius is sandwiched in between the epsilon-core and yolk radii, and that there is a significant logical gap in Brauninger’s proof that the finagle point is within the epsilon-core. This article also examines Brauninger’s other conclusions in view of an inaccurate computation of the yolk, and shows that they are valid all the more so.

Suggested Citation

  • Craig A Tovey, 2011. "The finagle point and the epsilon-core: A comment on Bräuninger’s proof," Journal of Theoretical Politics, , vol. 23(1), pages 135-139, January.
    • Handle: RePEc:sae:jothpo:v:23:y:2011:i:1:p:135-139
    DOI: 10.1177/0951629810390901
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    References listed on IDEAS

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    1. Stephen W. Salant & Eban Goodstein, 1990. "Predicting Committee Behavior in Majority Rule Voting Experiments," RAND Journal of Economics, The RAND Corporation, vol. 21(2), pages 293-313, Summer.
    2. McKelvey, Richard & Tovey, Craig A., 2010. "Approximation of the yolk by the LP yolk," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 102-109, January.
    3. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
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    Cited by:

    1. Mathieu Martin & Zéphirin Nganmeni, 2019. "The fi nagle point might not be within the Ɛ-core: a contradiction with Bräuninger's result," THEMA Working Papers 2019-03, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2016. "On the uniqueness of the yolk," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 511-518, October.

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