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Categorize and randomize: a model of sequential stochastic choice

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  • Ester Sudano

Abstract

We model stochastic choices with categorization, resulting from the preliminary step of grouping alternatives in homogenous disjoint classes. The agent randomly chooses one class among those available, then randomly picks an item within the selected class. We give a formal definition of a choice generated by this procedure, and provide a characterization. The characterizing properties allow an external observer to elicit that categorization is applied. In a more general interpretation, the model allows to describe the observed choice as the composition of independent subchoices. This composition preserves rationalizability by random utility maximization. A generalization of the model subsumes Luce model and Nested Logit.

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  • Ester Sudano, 2024. "Categorize and randomize: a model of sequential stochastic choice," Papers 2412.03554, arXiv.org.
    • Handle: RePEc:arx:papers:2412.03554
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    References listed on IDEAS

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    1. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    2. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    3. Simonson, Itamar, 1989. "Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 16(2), pages 158-174, September.
    4. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    5. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    6. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, January.
    7. Huber, Joel & Payne, John W & Puto, Christopher, 1982. "Adding Asymmetrically Dominated Alternatives: Violations of Regularity and the Similarity Hypothesis," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 9(1), pages 90-98, June.
    8. Barbos, Andrei, 2010. "Context effects: A representation of choices from categories," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1224-1243, May.
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