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Using elections to represent preferences

Author

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  • Vicki Knoblauch

    () (Department of Economics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK)

Abstract

This paper takes voting theory out of the realm of mechanism design and studies elections as tools for representing preferences: every preference relation on a set of n elements is the outcome of pairwise voting by approximately 2 log2n voters with transitive preferences. Results like this one provide representation for preference relations not representable by utility functions. They also motivate definitions of the levels of intransitivity, nonlinearity and nonrepresentability (by utility function) of a preference relation.

Suggested Citation

  • Vicki Knoblauch, 2001. "Using elections to represent preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 823-831.
  • Handle: RePEc:spr:sochwe:v:18:y:2001:i:4:p:823-831
    Note: Received: 25 March 1999/Accepted: 19 June 2000
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    Cited by:

    1. Erling Røed Larsen, 2002. "The Political Economy of Global Warming. From Data to Decisions," Discussion Papers 322, Statistics Norway, Research Department.
    2. Vicki Knoblauch, 2003. "Continuous Paretian Preferences," Working papers 2003-29, University of Connecticut, Department of Economics.
    3. Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.

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