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Dynamic Random Choice

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  • Ricky Li

Abstract

I study dynamic random utility with finite choice sets and exogenous total menu variation, which I refer to as stochastic utility (SU). First, I characterize SU when each choice set has three elements. Next, I prove several mathematical identities for joint, marginal, and conditional Block--Marschak sums, which I use to obtain two characterizations of SU when each choice set but the last has three elements. As a corollary under the same cardinality restrictions, I sharpen an axiom to obtain a characterization of SU with full support over preference tuples. I conclude by characterizing SU without cardinality restrictions. All of my results hold over an arbitrary finite discrete time horizon.

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  • Ricky Li, 2021. "Dynamic Random Choice," Papers 2102.00143, arXiv.org, revised Jun 2022.
    • Handle: RePEc:arx:papers:2102.00143
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    References listed on IDEAS

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    1. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804, October.
    2. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
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    Cited by:

    1. Chambers, Christopher P. & Masatlioglu, Yusufcan & Turansick, Christopher, 2024. "Correlated choice," Theoretical Economics, Econometric Society, vol. 19(3), July.
      • Christopher P. Chambers & Yusufcan Masatlioglu & Christopher Turansick, 2021. "Correlated Choice," Papers 2103.05084, arXiv.org, revised Mar 2023.

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