IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v29y2007i3p383-404.html
   My bibliography  Save this article

Condorcet cycles? A model of intertemporal voting

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Kevin Roberts, 2007. "Condorcet cycles? A model of intertemporal voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 383-404, October.
  • Handle: RePEc:spr:sochwe:v:29:y:2007:i:3:p:383-404
    DOI: 10.1007/s00355-006-0211-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-006-0211-2
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00355-006-0211-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
    2. 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.
    3. Jeffrey Banks & John Duggan, 2001. "A Multidimensional Model of Repeated Elections," Wallis Working Papers WP24, University of Rochester - Wallis Institute of Political Economy.
    4. David Austen-Smith & Jeffrey S. Banks, 1999. "Cycling of simple rules in the spatial model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 663-672.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christian Roessler & Sandro Shelegia, 2012. "The Roman Metro Problem," Vienna Economics Papers 1202, University of Vienna, Department of Economics.
    2. , & , J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    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.
    4. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    5. 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.
    6. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2021. "Simple collective equilibria in stopping games," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    7. Herings, P.J.J. & Predtetchinski, A., 2013. "Voting in collective stopping games," Research Memorandum 014, Maastricht University, Graduate School of Business and Economics (GSBE).
    8. Hülya Eraslan & Kirill S. Evdokimov & Jan Zápal, 2022. "Dynamic Legislative Bargaining," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 151-175, Springer.
    9. Elizabeth Maggie Penn, 2009. "A Model of Farsighted Voting," American Journal of Political Science, John Wiley & Sons, vol. 53(1), pages 36-54, January.
    10. Akira Okada & Ryoji Sawa, 2016. "An evolutionary approach to social choice problems with q-quota rules," KIER Working Papers 936, Kyoto University, Institute of Economic Research.
    11. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Akira Okada & Ryoji Sawa, 2016. "An evolutionary approach to social choice problems with q-quota rules," KIER Working Papers 936, Kyoto University, Institute of Economic Research.
    2. 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.
    3. Facundo Piguillem & Anderson Schneider, 2013. "Heterogeneous Labor Skills, The Median Voter and Labor Taxes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 332-349, April.
    4. Borissov, Kirill & Surkov, Alexander, 2010. "Endogenous growth in a model with heterogeneous agents and voting on public goods," MPRA Paper 27517, University Library of Munich, Germany.
    5. Xefteris, Dimitrios, 2017. "Multidimensional electoral competition between differentiated candidates," Games and Economic Behavior, Elsevier, vol. 105(C), pages 112-121.
    6. Hassler, John & Krusell, Per & Storesletten, Kjetil & Zilibotti, Fabrizio, 2005. "The dynamics of government," Journal of Monetary Economics, Elsevier, vol. 52(7), pages 1331-1358, October.
    7. 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.
    8. Bossert, Walter & Peters, Hans, 2013. "Single-plateaued choice," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 134-139.
    9. Fujun Hou, 2022. "Conditions for Social Preference Transitivity When Cycle Involved and A $\hat{O}\mbox{-}\hat{I}$ Framework," Papers 2205.08223, arXiv.org, revised May 2022.
    10. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    11. Brandl, Florian & Peters, Dominik, 2022. "Approval voting under dichotomous preferences: A catalogue of characterizations," Journal of Economic Theory, Elsevier, vol. 205(C).
    12. John Duggan, 2016. "Preference exclusions for social rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 93-118, January.
    13. Kelin Luo & Yinfeng Xu & Bowen Zhang & Huili Zhang, 2018. "Creating an acceptable consensus ranking for group decision making," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 307-328, July.
    14. Grainger, Daniel & Watkin-Lui, Felecia & Cheer, Karen, 2021. "The value of informed agency for Torres Strait climate change," Ecological Economics, Elsevier, vol. 180(C).
    15. Amartya Sen, 2020. "Majority decision and Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 211-217, March.
    16. Bossert, Walter & Peters, Hans, 2014. "Single-basined choice," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 162-168.
    17. Walter Bossert & Hans Peters, 2009. "Single-peaked choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 213-230, November.
    18. Lagunoff, Roger, 2009. "Dynamic stability and reform of political institutions," Games and Economic Behavior, Elsevier, vol. 67(2), pages 569-583, November.
    19. Dotti, Valerio, 2019. "Political Parties and Policy Outcomes. Do Parties Block Reforms?," MPRA Paper 100227, University Library of Munich, Germany.
    20. Enriqueta Aragonès & Thomas R. Palfrey & Andrew Postlewaite, 2005. "Reputation and Rhetoric in Elections," Working Papers 236, Barcelona School of Economics.

    More about this item

    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 - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:29:y:2007:i:3:p:383-404. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.