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Consumer equilibrium, random choice and hemi-Bayesian revision rule

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  • Bhattacharya, Mihir
  • Mukherjee, Saptarshi
  • Sonal, Ruhi

Abstract

We axiomatically characterise a class of updating rules in the contexts of: (a) consumer’s equilibrium; and (b) random choice by a decision maker. The updating rule captures the effect of absence of a product on the expenditure-share function in (a) and the effect of removal of an alternative on the choice probabilities of the remaining alternatives in (b). The class of updating rules, called hemi-Bayesian random choice rule can be described as follows: the expenditure-share or the probability-weight of the alternative that is removed is distributed proportionately to the alternatives belonging to its lower contour set according to some linear order. We show that this class of rules is the same as random consideration set rule as in Manzini and Mariotti (2014).

Suggested Citation

  • Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2020. "Consumer equilibrium, random choice and hemi-Bayesian revision rule," Economics Letters, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:ecolet:v:193:y:2020:i:c:s0165176520301877
    DOI: 10.1016/j.econlet.2020.109279
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    2. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    4. Stahl, Dale O., 1996. "Boundedly Rational Rule Learning in a Guessing Game," Games and Economic Behavior, Elsevier, vol. 16(2), pages 303-330, October.
    5. Hey, John D. & Carbone, Enrica, 1995. "Stochastic choice with deterministic preferences: An experimental investigation," Economics Letters, Elsevier, vol. 47(2), pages 161-167, February.
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    Cited by:

    1. Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2021. "Frame-based stochastic choice rule," Journal of Mathematical Economics, Elsevier, vol. 97(C).

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    More about this item

    Keywords

    Bayesian update; Stochastic choice; Revision rules; Income effect;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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