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On the Likelihood of Cyclic Comparisons

Author

Listed:
  • Ariel Rubinstein

    (University of Tel Aviv)

  • Uzi Segal

    () (Boston College)

Abstract

We investigate the procedure of "random sampling" where the alternatives are random variables. When comparing any two alternatives, the decision maker samples each of the alternatives once and ranks them according to the comparison between the two realizations. Our main result is that when applied to three alternatives, the procedure yields a cycle with a probability bounded above by 8/27. Bounds are also obtained for other related procedures.

Suggested Citation

  • Ariel Rubinstein & Uzi Segal, 2011. "On the Likelihood of Cyclic Comparisons," Boston College Working Papers in Economics 773, Boston College Department of Economics, revised 12 Feb 2012.
  • Handle: RePEc:boc:bocoec:773
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    References listed on IDEAS

    as
    1. Osborne, Martin J & Rubinstein, Ariel, 1998. "Games with Procedurally Rational Players," American Economic Review, American Economic Association, vol. 88(4), pages 834-847, September.
    2. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
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    More about this item

    Keywords

    Transitivity; preference formation; the paradox of nontransitive dice;

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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