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Generalised Random Categorisation Rules

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  • Matthew Ryan

    (School of Economics, Auckland University of Technology)

Abstract

Aguiar's (2017) random categorisation rule (RCR) describes random choice behaviour as the maximisation of a linear preference order over the intersection of a random consideration set with the set of available options. A key axiom in Aguiar's (2017) characterisation of the RCR is an acyclicity condition on a revealed preference relation derived from the random choice function. We show that this condition may be substantially weakened - to asymmetry of the revealed preference relation - without jeopardising the essence of the RCR representation. In our generalisation of the RCR, preferences may be ill-behaved on subsets of alternatives that are never considered together. While these pathologies in preference are masked by the decision-maker's selective attention to an particular choice problem, they may still be revealed by data across di§erent choice problems. Finally, we show that the generalised model remains within the random utility class.

Suggested Citation

  • Matthew Ryan, 2019. "Generalised Random Categorisation Rules," Working Papers 2019-03, Auckland University of Technology, Department of Economics.
    • Handle: RePEc:aut:wpaper:201903
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    References listed on IDEAS

    as
    1. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    2. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    3. Chateauneuf, Alain & Jaffray, Jean-Yves, 1989. "Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 263-283, June.
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