IDEAS home Printed from https://ideas.repec.org/a/sae/jothpo/v23y2011i1p135-139.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0951629810390901
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0951629810390901?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    2. 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.
    3. 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.
    4. Mathieu Martin & Zéphirin Nganmeni & Ashley Piggins & Élise F. Tchouante, 2022. "Pure-strategy Nash equilibrium in the spatial model with valence: existence and characterization," Public Choice, Springer, vol. 190(3), pages 301-316, March.
    5. Kovalenkov, A. & Holtz Wooders, M., 1997. "Epsilon Cores of Games and Economies With Limited Side Payments," UFAE and IAE Working Papers 392.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    6. Grelak, Eric & Koford, Kenneth, 1997. "A re-examination of the Fiorina-Plott and Eavey voting experiments: How much do cardinal payoffs influence outcomes?," Journal of Economic Behavior & Organization, Elsevier, vol. 32(4), pages 571-589, April.
    7. A. Kovalenkov & M. Holtz Wooders, 1999. "An explicit bound on e for nonemptiness of e-cores of games," THEMA Working Papers 99-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. John P. Conley & Myrna Holtz Wooders, 1998. "The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium," Working Papers mwooders-98-06, University of Toronto, Department of Economics.
    9. Thomas Bräuninger, 2007. "Stability in Spatial Voting Games with Restricted Preference Maximizing," Journal of Theoretical Politics, , vol. 19(2), pages 173-191, April.
    10. Massó, Jordi & Neme, Alejandro, 2014. "On cooperative solutions of a generalized assignment game: Limit theorems to the set of competitive equilibria," Journal of Economic Theory, Elsevier, vol. 154(C), pages 187-215.
    11. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    12. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
    13. Nizar Allouch & Myrna Wooders, 2004. "Price Taking Equilibrium in Club Economies with Multiple Memberships and Unbounded Club Sizes," Working Papers 513, Queen Mary University of London, School of Economics and Finance.
    14. Meseguer-Artola, Antoni & Wooders, Myrna Holtz & Martinez-Legaz, Juan-Enrique, 2003. "Representing games as coalition production economies with public goods," Economic Research Papers 269482, University of Warwick - Department of Economics.
    15. Wooders, Myrna H., 2001. "Some corrections to claims about the literature in Engl and Scotchmer (1996)," Journal of Mathematical Economics, Elsevier, vol. 36(4), pages 295-309, December.
    16. Yang, Zhe & Zhang, Xian, 2021. "A weak α-core existence theorem of games with nonordered preferences and a continuum of agents," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    17. Myrna Wooders, 2008. "Games with Many Players and Abstract Economies Permitting Differentiated Commodities, Clubs, and Public Goods," Vanderbilt University Department of Economics Working Papers 0813, Vanderbilt University Department of Economics.
    18. Jan Sauermann & André Kaiser, 2010. "Taking Others into Account: Self‐Interest and Fairness in Majority Decision Making," American Journal of Political Science, John Wiley & Sons, vol. 54(3), pages 667-685, July.
    19. Myrna Wooders, 2010. "Cores of many-player games; nonemptiness and equal treatment," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 131-162, March.
    20. Wooders, Myrna, 2008. "Small group effectiveness, per capita boundedness and nonemptiness of approximate cores," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 888-906, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:jothpo:v:23:y:2011:i:1:p:135-139. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.