Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/sae/jothpo/v1y1989i4p379-406.html
   My bibliography  Save this article

The Geometry of Majority Rule

Author

Listed:
  • Nicholas R. Miller
  • Bernard Grofman
  • Scott L. Feld
Abstract
We present some basic results concerning the spatial theory of voting in such a way that the theorems and their proofs should be accessible to a broad audience of political scientists. We do this by making the presentation essentially geometrical. We present the following results in particular: Plott's `pairwise symmetry' condition for an unbeaten point; McKelvey's `global cycling' theorem; Ferejohn, McKelvey and Packel's cardioid construction for establishing bounds on a `win set'; and McKelvey's circular bound on the `uncovered set' of points.

Suggested Citation

  • Nicholas R. Miller & Bernard Grofman & Scott L. Feld, 1989. "The Geometry of Majority Rule," Journal of Theoretical Politics, , vol. 1(4), pages 379-406, October.
    • Handle: RePEc:sae:jothpo:v:1:y:1989:i:4:p:379-406
    DOI: 10.1177/0951692889001004001
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0951692889001004001
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0951692889001004001?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. James Enelow & Melvin Hinisch, 1983. "On Plott's pairwise symmetry condition for majority rule equilibrium," Public Choice, Springer, vol. 40(3), pages 317-321, January.
    2. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    3. 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.
    4. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
    5. Davis, Otto A & DeGroot, Morris H & Hinich, Melvin J, 1972. "Social Preference Orderings and Majority Rule," Econometrica, Econometric Society, vol. 40(1), pages 147-157, January.
    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. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    2. Nicholas R. Miller, 2015. "The spatial model of social choice and voting," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 10, pages 163-181, Edward Elgar Publishing.
    3. Bernard GROFMAN & Joseph GODFREY, 2014. "Aspiration Models of Committee Decision Making," Economics Working Paper from Condorcet Center for political Economy at CREM-CNRS 2014-04-ccr, Condorcet Center for political Economy.
    4. Michel Regenwetter & James Adams & Bernard Grofman, 2002. "On the (Sample) Condorcet Efficiency of Majority Rule: An alternative view of majority cycles and social homogeneity," Theory and Decision, Springer, vol. 53(2), pages 153-186, September.

    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. Nicholas R. Miller, 2015. "The spatial model of social choice and voting," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 10, pages 163-181, Edward Elgar Publishing.
    2. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    3. Daniel E. Ingberman & Robert P. Inman, 1987. "The Political Economy of Fiscal Policy," NBER Working Papers 2405, National Bureau of Economic Research, Inc.
    4. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    5. James Enelow & Melvin Hinisch, 1983. "On Plott's pairwise symmetry condition for majority rule equilibrium," Public Choice, Springer, vol. 40(3), pages 317-321, January.
    6. Pierre-Guillaume Méon, 2006. "Majority voting with stochastic preferences: The whims of a committee are smaller than the whims of its members," Constitutional Political Economy, Springer, vol. 17(3), pages 207-216, September.
    7. Larry Samuelson, 1987. "A test of the revealed-preference phenomenon in congressional elections," Public Choice, Springer, vol. 54(2), pages 141-169, January.
    8. Adrian Deemen, 2014. "On the empirical relevance of Condorcet’s paradox," Public Choice, Springer, vol. 158(3), pages 311-330, March.
    9. Tovey, Craig A., 2010. "A critique of distributional analysis in the spatial model," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 88-101, January.
    10. 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.
    11. Banks, Jeffrey S. & Duggan, John, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Quarterly Journal of Political Science, now publishers, vol. 3(3), pages 269-299, October.
    12. John Jackson, 2014. "Location, location, location: the Davis-Hinich model of electoral competition," Public Choice, Springer, vol. 159(1), pages 197-218, April.
    13. Tovey, Craig A., 2010. "The almost surely shrinking yolk," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 74-87, January.
    14. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    15. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).
    16. David Koehler, 2001. "Instability and Convergence Under Simple-Majority Rule: Results from Simulation of Committee Choice in Two-Dimensional Space," Theory and Decision, Springer, vol. 50(4), pages 305-332, June.
    17. 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.
    18. Edward Wesep, 2012. "Defensive Politics," Public Choice, Springer, vol. 151(3), pages 425-444, June.
    19. Jan Sauermann, 2020. "On the instability of majority decision-making: testing the implications of the ‘chaos theorems’ in a laboratory experiment," Theory and Decision, Springer, vol. 88(4), pages 505-526, May.
    20. Bogomolnaia, Anna & Laslier, Jean-Francois, 2007. "Euclidean preferences," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 87-98, February.

    More about this item

    Keywords

    majority rule; spatial voting models;

    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:sae:jothpo:v:1:y:1989:i:4:p:379-406. 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.