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How Does Separability Affect The Desirability Of Referendum Election Outcomes?

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  • Jonathan Hodge
  • Peter Schwallier

Abstract

Recent research has shown that in referendum elections, the presence of interdependence within voter preferences can lead to election outcomes that are undesirable and even paradoxical. However, most of the examples leading to these undesirable outcomes involve contrived voting situations that would be unlikely to occur in actual elections. In this paper, we use computer simulations to investigate the desirability of referendum election outcomes. We show that highly undesirable election outcomes occur not only in contrived examples, but also in randomly generated elections. Our data suggest that the presence of interdependent preferences significantly increases the likelihood of such undesirable outcomes, and that certain alternative voting methods, such as sequential voting and setwise aggregation, hold the potential to produce outcomes that more accurately reflect the will of the electorate. Copyright Springer 2006

Suggested Citation

  • 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.
  • Handle: RePEc:kap:theord:v:61:y:2006:i:3:p:251-276
    DOI: 10.1007/s11238-006-9001-7
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    References listed on IDEAS

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    1. Bradley, W. James & Hodge, Jonathan K. & Kilgour, D. Marc, 2005. "Separable discrete preferences," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 335-353, May.
    2. 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.
    3. Brams, Steven J. & Kilgour, D. Marc & Zwicker, William, 1997. "Voting on Referenda: The Separability Problem and Possible Solutions," Working Papers 97-15, C.V. Starr Center for Applied Economics, New York University.
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    Cited by:

    1. Hodge, Jonathan K. & TerHaar, Micah, 2008. "Classifying interdependence in multidimensional binary preferences," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 190-204, March.
    2. Fatma Aslan & Hayrullah Dindar & Jean Lainé, 2022. "When are committees of Condorcet winners Condorcet winning committees?," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 417-446, September.
    3. Clark Bowman & Jonathan Hodge & Ada Yu, 2014. "The potential of iterative voting to solve the separability problem in referendum elections," Theory and Decision, Springer, vol. 77(1), pages 111-124, June.
    4. Gilbert Laffond & Jean Lainé, 2012. "Searching for a Compromise in Multiple Referendum," Group Decision and Negotiation, Springer, vol. 21(4), pages 551-569, July.
    5. Tuğçe Çuhadaroğlu & Jean Lainé, 2012. "Pareto efficiency in multiple referendum," Theory and Decision, Springer, vol. 72(4), pages 525-536, April.

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