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Condorcet Cycles? A Model of Intertemporal Voting

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  • Kevin Roberts

Abstract

An intertemporal voting model is examined where, at each date, there is a pairwise majority vote between the existing chosen state and some other state, chosen randomly. Intertemporal voting simplifies the strategic issues and the agenda setting is as unrestricted as possible. The possibility of cycles is examined, both in the intertemporal extension to the Condorcet paradox and in more general examples. The set of possibilities is rich, as is demonstrated by an exhaustive study of a three person, three state world. Equilibrium in pure strategies may fail to exist but a weakening of the equilibrium concept to admit probabilistic voting allows a general existence result to be proved. The analysis leads to the development of a dominant state which extends the notion of a Condorcet winner.

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Bibliographic Info

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 236.

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Date of creation: 01 May 2005
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Handle: RePEc:oxf:wpaper:236

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Keywords: Condorcet Paradox; Condorcet Winner; Majority Voting; Intertemporal Voting; Strategic Voting;

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  1. Jeffrey Banks & John Duggan, 2001. "A Multidimensional Model of Repeated Elections," Wallis Working Papers WP24, University of Rochester - Wallis Institute of Political Economy.
  2. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
  3. David Austen-Smith & Jeffrey S. Banks, 1998. "Cycling of Simple Rules in the Spatial Model," Discussion Papers 1246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 33-62.
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Cited by:
  1. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 33-62.
  2. Vincent Anesi & Daniel J. Seidmann, 2011. "Bargaining over an Endogenous Agenda," Discussion Papers 2011-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  3. Christian Roessler & Sandro Shelegia & Bruno Strulovici, 2013. "The Roman Metro Problem: Dynamic Voting and the Limited Power of Commitment," Discussion Papers 1560, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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