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Condorcet Cycles? A Model of Intertemporal Voting

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Author Info
Kevin Roberts () (Nuffield College, University of Oxford)

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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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File URL: http://www.nuffield.ox.ac.uk/economics/papers/2005/w15/condorcetcycles.pdf
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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2005-W15.

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Length: 26 pages
Date of creation: 01 May 2005
Date of revision:
Handle: RePEc:nuf:econwp:0515

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Web page: http://www.nuff.ox.ac.uk/economics/

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Related research
Keywords: Condorcet paradox; Condorcet winner; Condorcet winner; majority voting; intertemporal voting; strategic voting;

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior
D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation

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References listed on IDEAS
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  1. Bernheim & Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," Review of Economic Studies, Blackwell Publishing, vol. 76(1), pages 33-62, 01. [Downloadable!] (restricted)
  2. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July. [Downloadable!] (restricted)
  3. David Austen-Smith & Jeffrey S. Banks, 1999. "Cycling of simple rules in the spatial model," Social Choice and Welfare, Springer, vol. 16(4), pages 663-672. [Downloadable!] (restricted)
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  4. Jeffrey Banks & John Duggan, 2001. "A Multidimensional Model of Repeated Elections," Wallis Working Papers WP24, University of Rochester - Wallis Institute of Political Economy.
  5. Banks, Jeffrey S., 1984. "Sophisticated Voting Outcomes and Agenda Control," Working Papers 524, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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