On the Likelihood of Cyclic Comparisons
AbstractWe 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.
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Bibliographic InfoPaper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 773.
Date of creation: 27 Apr 2011
Date of revision: 12 Feb 2012
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Transitivity; preference formation; the paradox of nontransitive dice;
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- C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
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- 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.
- Martin J. Osborne & Ariel Rubinstein, 1997.
"Games with Procedurally Rational Players,"
Department of Economics Working Papers
1997-02, McMaster University.
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