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The spatial model of social choice and voting

In: Handbook of Social Choice and Voting

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  • Nicholas R. Miller

Abstract

This Handbook provides an overview of interdisciplinary research related to social choice and voting that is intended for a broad audience. Expert contributors from various fields present critical summaries of the existing literature, including intuitive explanations of technical terminology and well-known theorems, suggesting new directions for research.

Suggested Citation

  • 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.
    • Handle: RePEc:elg:eechap:15584_10
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    References listed on IDEAS

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    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. Elizabeth Penn, 2006. "Alternate Definitions of the Uncovered Set and Their Implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 83-87, August.
    3. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 489-535, September.
    4. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    5. 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.
    6. 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.
    7. Miller, Nicholas R., 2007. "In Search of the Uncovered Set," Political Analysis, Cambridge University Press, vol. 15(1), pages 21-45, January.
    8. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    9. 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.
    10. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    11. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    12. Bianco, William T. & Jeliazkov, Ivan & Sened, Itai, 2004. "The Uncovered Set and the Limits of Legislative Action," Political Analysis, Cambridge University Press, vol. 12(3), pages 256-276, July.
    13. Simon Hug, 1999. "Nonunitary Actors in Spatial Models," Journal of Conflict Resolution, Peace Science Society (International), vol. 43(4), pages 479-500, August.
    14. 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.
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    Cited by:

    1. Maciel, Marcelo V. & Martins, André C.R., 2020. "Ideologically motivated biases in a multiple issues opinion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Eiselt, H.A. & Marianov, Vladimir, 2020. "Maximizing political vote in multiple districts," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).

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