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Singularity theory and core existence in the spatial model

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  • Banks, Jeffrey S.

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  • Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
    • Handle: RePEc:eee:mateco:v:24:y:1995:i:6:p:523-536
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    1. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    2. Norman Schofield, 1983. "Generic Instability of Majority Rule," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 695-705.
    3. McKelvey, Richard D & Schofield, Norman, 1987. "Generalized Symmetry Conditions at a Core Point," Econometrica, Econometric Society, vol. 55(4), pages 923-933, July.
    4. McKelvey, Richard D. & Schofield, Norman, 1986. "Structural instability of the core," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 179-198, June.
    5. Schofield, Norman, 1980. "Generic properties of simple Bergson-Samuelson welfare functions," Journal of Mathematical Economics, Elsevier, vol. 7(2), pages 175-192, July.
    6. Schofield, Norman, 1984. "Social equilibrium and cycles on compact sets," Journal of Economic Theory, Elsevier, vol. 33(1), pages 59-71, June.
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    Cited by:

    1. Krehbiel, Keith & Meirowitz, Adam & Woon, Jonathan, 2004. "Testing Theories of Lawmaking," Research Papers 1860, Stanford University, Graduate School of Business.
    2. Duggan, John, 2018. "Necessary gradient restrictions at the core of a voting rule," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 1-9.
    3. Hervé Crès & M. Utku Ünver, 2010. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Journal of Theoretical Politics, , vol. 22(4), pages 431-444, October.
    4. 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.
    5. Duggan, John, 2007. "Equilibrium existence for zero-sum games and spatial models of elections," Games and Economic Behavior, Elsevier, vol. 60(1), pages 52-74, July.
    6. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 33-62.
    7. 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.
    8. Norman Schofield, 2015. "Climate Change, Collapse and Social Choice Theory," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 007-035, October.
    9. Pivato, Marcus, 2007. "Pyramidal Democracy," MPRA Paper 3965, University Library of Munich, Germany.
    10. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2002. "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Journal of Economic Theory, Elsevier, vol. 103(1), pages 88-105, March.
    11. Congleton, Roger D. & Tollison, Robert D., 1999. "The stability inducing propensities of very unstable coalitions: avoiding the downward spiral of majoritarian rent-seeking," European Journal of Political Economy, Elsevier, vol. 15(2), pages 193-205, June.
    12. Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2019. "Dominance in Spatial Voting with Imprecise Ideals: A New Characterization of the Yolk," THEMA Working Papers 2019-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    13. Günther, Laurenz & Günther, Laurenz, 2022. "Lack of Substantive Representation in Europe: Causes and Consequences," VfS Annual Conference 2022 (Basel): Big Data in Economics 264114, Verein für Socialpolitik / German Economic Association.
    14. Crès, Hervé & Utku Ünver, M., 2017. "Toward a 50%-majority equilibrium when voters are symmetrically distributed," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 145-149.
    15. 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.
    16. Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2021. "Dominance in spatial voting with imprecise ideals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 181-195, July.
    17. Donald G. Saari, 1995. "The Generic Existence of a Core for q-Rules," Public Economics 9506001, University Library of Munich, Germany.
    18. Hannu Nurmi & Tommi Meskanen, 2000. "Voting Paradoxes and MCDM," Group Decision and Negotiation, Springer, vol. 9(4), pages 297-313, July.
    19. De Donder, Philippe & Gallego, Maria, 2017. "Electoral Competition and Party Positioning," TSE Working Papers 17-760, Toulouse School of Economics (TSE).

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