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Generalized Symmetry Conditions at a Core Point

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  • McKelvey, Richard D.
  • Schofield, Norman.

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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  • McKelvey, Richard D. & Schofield, Norman., 1985. "Generalized Symmetry Conditions at a Core Point," Working Papers 552, California Institute of Technology, Division of the Humanities and Social Sciences.
    • Handle: RePEc:clt:sswopa:552
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