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The Devil You Know: Rational Inattention to Discrete Choices when Prior Information Matters

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  • Bruno Pellegrino

Abstract

In the seminal rational inattention model of Matĕjka and McKay (2015), logit demand arises from the discrete choice of agents who are uncertain about choice payoffs and who have access to a flexible, costly information acquisition technology (RI-logit). A notable limitation of this powerful framework is the lack of known general closed-form solutions, allowing the decision maker’s prior information to differ across choices. In this paper, I solve the RI-logit model analytically for a large family of priors known as multivariate Tempered Stable (TS) distributions. In my analytical formulation, decision makers can be biased, display aversion to prior uncertainty, and thus tend to select choices that are familiar (i.e. for which they hold a less disperse prior). This result allows to study how the RI-logit choice probabilities react to an exogenous change in prior information, thus extending the model’s applicability to a new range of settings where prior information matters. I provide one such application: I show how to use the closed-form RI-logit model to study the behavior of risk-averse investors who select risky projects in an environment characterized by epistemic uncertainty (risk-adjusted expected returns are unknown, but can be learnt at a cost.

Suggested Citation

  • Bruno Pellegrino, 2023. "The Devil You Know: Rational Inattention to Discrete Choices when Prior Information Matters," CESifo Working Paper Series 10331, CESifo.
  • Handle: RePEc:ces:ceswps:_10331
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    File URL: https://www.cesifo.org/DocDL/cesifo1_wp10331.pdf
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    References listed on IDEAS

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    1. Ralph S. J. Koijen & Motohiro Yogo, 2019. "A Demand System Approach to Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1475-1515.
    2. Xavier Gabaix & Ralph S. J. Koijen, 2021. "In Search of the Origins of Financial Fluctuations: The Inelastic Markets Hypothesis," NBER Working Papers 28967, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Bruno Pellegrino & Enrico Spolaore & Romain Wacziarg, 2021. "Barriers to Global Capital Allocation," NBER Working Papers 28694, National Bureau of Economic Research, Inc.

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    More about this item

    Keywords

    rational inattention; discrete choice; logit; information acquisition; uncertainty;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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