IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/35302.html
   My bibliography  Save this paper

Election inversions, coalitions and proportional representation: Examples from Danish elections

Author

Listed:
  • Kurrild-Klitgaard, Peter

Abstract

When collective choices are made in more than one round and with dif¬ferent groups of decision-makers, so-called election inversions may take place, where each group have different majority outcomes. We identify two ver¬sions of such compound majority paradoxes specifically, but not ex¬clu¬si¬ve¬ly, relevant for systems of proportional representation with governing coalitions: The “Threshold Paradox” and the “Federal Paradox”. The empirical relevance of the two paradoxes is illustrated with examples from three Danish elections (1971, 1990, 2011), where a majority of the voters voted for one bloc of parties but where a majority of the seats fell to another.

Suggested Citation

  • Kurrild-Klitgaard, Peter, 2011. "Election inversions, coalitions and proportional representation: Examples from Danish elections," MPRA Paper 35302, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:35302
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/35302/1/MPRA_paper_35302.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marc Feix & Dominique Lepelley & Vincent Merlin & Jean-Louis Rouet, 2004. "The probability of conflicts in a U.S. presidential type election," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 227-257, January.
    2. Kurrild-Klitgaard, Peter & Klemmensen, Robert & Pedersen, Mogens N., 2008. "Højre, venstre eller midte? Et empirisk perspektiv på partirummet i dansk politik [Right, left or centre? An empirical perspective on the party space of Danish politics]," MPRA Paper 68812, University Library of Munich, Germany.
    3. Kurrild-Klitgaard, Peter, 2001. "An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate," Public Choice, Springer, vol. 107(1-2), pages 135-145, April.
    4. van Deemen, Adrian M A & Vergunst, Noel P, 1998. "Empirical Evidence of Paradoxes of Voting in Dutch Elections," Public Choice, Springer, vol. 97(3), pages 475-490, December.
    5. Steven J. Brams & William S. Zwicker & D. Marc Kilgour, 1998. "The paradox of multiple elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 211-236.
    6. Gilbert Laffond & Jean Lainé, 2008. "The Budget-Voting Paradox," Theory and Decision, Springer, vol. 64(4), pages 447-478, June.
    7. Benoit, Kenneth, 2000. "Which Electoral Formula Is the Most Proportional? A New Look with New Evidence," Political Analysis, Cambridge University Press, vol. 8(4), pages 381-388, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Do Danish voters get the government a majority prefer?
      by Peter Kurrild-Klitgaard in Peter Kurrild-Klitgaard on 2012-04-10 14:33:00
    2. Empirical social choice - special issue of "Public Choice"
      by Peter Kurrild-Klitgaard in Peter Kurrild-Klitgaard on 2014-02-17 15:15:00
    3. "Social choice" & demokratiske paradokser
      by Peter Kurrild-Klitgaard in Peter Kurrild-Klitgaard on 2015-04-13 14:33:00

    Citations

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


    Cited by:

    1. Peter Kurrild-Klitgaard, 2014. "Empirical social choice: an introduction," Public Choice, Springer, vol. 158(3), pages 297-310, March.
    2. Peter Kurrild-Klitgaard, 2014. "Picking a loser? A social choice perspective on the Danish government formation of 1975," Public Choice, Springer, vol. 158(3), pages 483-497, March.
    3. Kurrild-Klitgaard, Peter, 2016. "The cyclical social choice of primary vs. general election candidates: A note on the US 2016 presidential election," MPRA Paper 69171, University Library of Munich, Germany.

    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. Kurrild-Klitgaard, Peter, 2018. "Trump, Condorcet and Borda: Voting paradoxes in the 2016 Republican presidential primaries," European Journal of Political Economy, Elsevier, vol. 55(C), pages 29-35.
    2. William Gehrlein, 2002. "Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences ," Theory and Decision, Springer, vol. 52(2), pages 171-199, March.
    3. Malthe Munkøe, 2014. "Cycles and instability in politics. Evidence from the 2009 Danish municipal elections," Public Choice, Springer, vol. 158(3), pages 383-397, March.
    4. Mogens K. Justesen, 2007. "The Social Choice of EU Treaties," European Union Politics, , vol. 8(4), pages 537-553, December.
    5. Adrian Deemen, 2014. "On the empirical relevance of Condorcet’s paradox," Public Choice, Springer, vol. 158(3), pages 311-330, March.
    6. Marek M. Kaminski, 2015. "Empirical examples of voting paradoxes," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 20, pages 367-387, Edward Elgar Publishing.
    7. Peter Kurrild-Klitgaard, 2014. "Picking a loser? A social choice perspective on the Danish government formation of 1975," Public Choice, Springer, vol. 158(3), pages 483-497, March.
    8. Richard Potthoff, 2013. "Simple manipulation-resistant voting systems designed to elect Condorcet candidates and suitable for large-scale public elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 101-122, January.
    9. Frederic Udina & Pedro Delicado, 2005. "Estimating Parliamentary composition through electoral polls," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 387-399, March.
    10. Jonathan Hodge & Peter Schwallier, 2006. "How Does Separability Affect The Desirability Of Referendum Election Outcomes?," Theory and Decision, Springer, vol. 61(3), pages 251-276, November.
    11. Konstantinos Matakos & Riikka Savolainen & Orestis Troumpounis & Janne Tukiainen & Dimitrios Xefteris, 2024. "Electoral Institutions and Intraparty Cohesion," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 2(4), pages 883-916.
    12. Sebastian Bervoets & Vincent Merlin, 2012. "Gerrymander-proof representative democracies," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 473-488, August.
    13. Tanguiane, Andranick S., 2022. "Analysis of the 2021 Bundestag elections. 4/4. The third vote application," Working Paper Series in Economics 154, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    14. Conal Duddy & Ashley Piggins & William Zwicker, 2016. "Aggregation of binary evaluations: a Borda-like approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 301-333, February.
    15. Nicholas Miller, 2014. "The Alternative Vote and Coombs Rule versus First-Past-the-Post: a social choice analysis of simulated data based on English elections, 1992–2010," Public Choice, Springer, vol. 158(3), pages 399-425, March.
    16. Luigi Mittone, 2003. "The Condorcet paradox: an experimental approach to a voting process," CEEL Working Papers 0306, Cognitive and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia.
    17. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2017. "Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 203-248, Mars-Juin.
    18. Laurent, Thibault & Le Breton, Michel & Lepelley, Dominique & de Mouzon, Olivier, 2017. "Exploring the Effects on the Electoral College of National and Regional Popular Vote Interstate Compact: An Electoral Engineering Perspective," TSE Working Papers 17-861, Toulouse School of Economics (TSE), revised May 2018.
    19. Jean-François Laslier & Karine Straeten, 2016. "Strategic voting in multi-winner elections with approval balloting: a theory for large electorates," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 559-587, October.
    20. Andranik Tangian, 2021. "MCDM Application of the Third Vote," Group Decision and Negotiation, Springer, vol. 30(4), pages 775-787, August.

    More about this item

    Keywords

    Social choice; voting paradoxes; electoral systems; election inversions;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:35302. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.