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Comparing preference orders: Asymptotic independence

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  • Kikuchi, Kazuya

Abstract

A decision maker is presented with two preference orders over n objects and chooses the one which is “closer” to his own preference order. We consider several plausible comparison rules that the decision maker might employ. We show that when n is large and the pair of orders to be compared randomly realizes, different comparison rules lead to statistically almost independent choices. Thus, two people with a common preference relation may nonetheless exhibit almost uncorrelated choice patterns.

Suggested Citation

  • Kikuchi, Kazuya, 2016. "Comparing preference orders: Asymptotic independence," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 1-5.
    • Handle: RePEc:eee:matsoc:v:79:y:2016:i:c:p:1-5
    DOI: 10.1016/j.mathsocsci.2015.10.005
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    References listed on IDEAS

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    1. Sato, Shin, 2013. "A sufficient condition for the equivalence of strategy-proofness and nonmanipulability by preferences adjacent to the sincere one," Journal of Economic Theory, Elsevier, vol. 148(1), pages 259-278.
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    7. Shin Sato, 2013. "Strategy-proofness and the reluctance to make large lies: the case of weak orders," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 479-494, February.
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