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Generalized Symmetry Conditions at a Core Point

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Author Info
McKelvey, Richard D
Schofield, Norman

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Abstract

Previous analyses have shown that if a point is to be a core of a majority-rul e voting game in Euclidean space when preferences are smooth, then the utility gradients at the point must satisfy certain restrictive symmetry conditions. In this paper, these results are generalized t o the case of an arbitrary voting rule, and necessary and sufficient conditions, expressed in terms of the utility gradients of "pivotal' ' coalitions, are obtained. Copyright 1987 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 55 (1987)
Issue (Month): 4 (July)
Pages: 923-33
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Handle: RePEc:ecm:emetrp:v:55:y:1987:i:4:p:923-33

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  1. Ordeshook, Peter C., 1991. "The Development of Contemporary Political Theory," Working Papers 762, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  2. Banks, Jeffrey S. & Duggan, John, 2003. "A bargaining model of legislative policy-making," Working Papers 1162, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  3. Norman Schofield, 2007. "Political equilibria with electoral uncertainty," Social Choice and Welfare, Springer, vol. 28(3), pages 461-490, April. [Downloadable!] (restricted)
  4. Vincent Anesi, 2007. "Information Aggregation in Spatial Committee Games," Discussion Papers 2007-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham. [Downloadable!]
  5. Norman Schofield, 2006. "Equilibria in the spatial stochastic model of voting with party activists," Review of Economic Design, Springer, vol. 10(3), pages 183-203, December. [Downloadable!] (restricted)
  6. John Duggan & Jeffrey S. Banks, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Wallis Working Papers WP53, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  7. Pivato, Marcus, 2007. "Pyramidal Democracy," MPRA Paper 3965, University Library of Munich, Germany. [Downloadable!]
  8. Enriqueta Aragonès, 2007. "Government formation in a two dimensional policy space," International Journal of Game Theory, Springer, vol. 35(2), pages 151-184, January. [Downloadable!] (restricted)
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