IDEAS home Printed from https://ideas.repec.org/a/cup/apsrev/v81y1987i02p539-553_19.html
   My bibliography  Save this article

Stability and Centrality of Legislative Choice in the Spatial Context

Author

Listed:
  • Grofman, Bernard
  • Owen, Guillermo
  • Noviello, Nicholas
  • Glazer, Amihai

Abstract

Majority-rule spatial voting games lacking a core still always present a “near-core†outcome, more commonly known as the Copeland winner. This is the alternative that defeats or ties the greatest number of alternatives in the space. Previous research has not tested the Copeland winner as a solution concept for spatial voting games without a core, lacking a way to calculate where the Copeland winner was with an infinite number of alternatives. We provide a straightforward algorithm to find the Copeland winner and show that it corresponds well to experimental outcomes in an important set of experimental legislative voting games. We also provide an intuitive motivation for why legislative outcomes in the spatial context may be expected to lie close to the Copeland winner. Finally, we show a connection between the Copeland winner and the Shapley value and provide a simple but powerful algorithm to calculate the Copeland scores of all points in the space in terms of the (modified) power values of each of the voters and their locations in the space.

Suggested Citation

  • Grofman, Bernard & Owen, Guillermo & Noviello, Nicholas & Glazer, Amihai, 1987. "Stability and Centrality of Legislative Choice in the Spatial Context," American Political Science Review, Cambridge University Press, vol. 81(2), pages 539-553, June.
    • Handle: RePEc:cup:apsrev:v:81:y:1987:i:02:p:539-553_19
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S000305540019450X/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Martin, Mathieu & Nganmeni, Zephirin & Tchantcho, Bertrand, 2017. "The Owen and Shapley spatial power indices: A comparison and a generalization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 10-19.
    2. Cheryl L. Eavey, 1991. "Patterns of Distribution in Spatial Games," Rationality and Society, , vol. 3(4), pages 450-474, October.
    3. Karos, Dominik & Peters, Hans, 2018. "Effectivity and power," Games and Economic Behavior, Elsevier, vol. 108(C), pages 363-378.
    4. Scott L. Feld & Bernard Grofman, 1991. "Incumbency Advantage, Voter Loyalty and the Benefit of the Doubt," Journal of Theoretical Politics, , vol. 3(2), pages 115-137, April.
    5. Stefan Napel & Mika Widgren, 2004. "Power Measurement as Sensitivity Analysis," Journal of Theoretical Politics, , vol. 16(4), pages 517-538, October.
    6. Hun Chung & John Duggan, 2018. "Directional equilibria," Journal of Theoretical Politics, , vol. 30(3), pages 272-305, July.
    7. Hans Peters & José M. Zarzuelo, 2017. "An axiomatic characterization of the Owen–Shapley spatial power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 525-545, May.
    8. Qianqian Kong & Hans Peters, 2021. "An issue based power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 23-38, March.
    9. Mark Fey, 2008. "Choosing from a large tournament," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 301-309, August.
    10. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
    11. Edward Wesep, 2012. "Defensive Politics," Public Choice, Springer, vol. 151(3), pages 425-444, June.
    12. Scott Feld & Bernard Grofman & Nicholas Miller, 1988. "Centripetal forces in spatial voting: On the size of the Yolk," Public Choice, Springer, vol. 59(1), pages 37-50, October.
    13. Scott Feld & Bernard Grofman, 1988. "The Borda count in n-dimensional issue space," Public Choice, Springer, vol. 59(2), pages 167-176, November.
    14. Thomas König & Thomas Bräuninger, 1996. "Power and Political Coordination in American and German Multi-Chamber Legislation," Journal of Theoretical Politics, , vol. 8(3), pages 331-360, July.
    15. Guillermo Owen & Francesc Carreras, 2022. "Spatial games and endogenous coalition formation," Annals of Operations Research, Springer, vol. 318(2), pages 1095-1115, November.

    More about this item

    Statistics

    Access and download statistics

    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:cup:apsrev:v:81:y:1987:i:02:p:539-553_19. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/psr .

    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.