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Logit, CES, and rational inattention

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  • Matveenko, Andrei

Abstract

We study the fundamental links between two popular approaches to consumer choice: the multinomial logit model of individual discrete choice and the CES utility function, which describes a diversified choice of a representative consumer. We base our analysis on the rational inattention (RI) model and show that the demand system of RI agents, each of which chooses a single option, coincides with the demand system of a fictitious representative agent with CES utility function. Thus, the diversified choice of the representative agent may be explained by the heterogeneity in signals received by the RI agents. We obtain a new interpretation for the elasticity of substitution and the weighting coefficients of the CES utility function. Specifically, we provide a correspondence between parameters of the CES utility function, prior knowledge and marginal cost of information.

Suggested Citation

  • Matveenko, Andrei, 2020. "Logit, CES, and rational inattention," Economics Letters, Elsevier, vol. 186(C).
  • Handle: RePEc:eee:ecolet:v:186:y:2020:i:c:s0165176519302630
    DOI: 10.1016/j.econlet.2019.108537
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    1. Monika Mr?zov? & J. Peter Neary, 2014. "Together at Last: Trade Costs, Demand Structure, and Welfare," American Economic Review, American Economic Association, vol. 104(5), pages 298-303, May.
    2. David Atkin & Benjamin Faber & Marco Gonzalez-Navarro, 2018. "Retail Globalization and Household Welfare: Evidence from Mexico," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 1-73.
    3. Christopher J. Nekarda & Valerie A. Ramey, 2011. "Industry Evidence on the Effects of Government Spending," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 36-59, January.
    4. Coloma, German, 2009. "Estimation of Demand Systems Based on Elasticities of Substitution," Review of Applied Economics, Lincoln University, Department of Financial and Business Systems, vol. 5(1-2), pages 1-18, March.
    5. Bartosz Mackowiak & Mirko Wiederholt, 2009. "Optimal Sticky Prices under Rational Inattention," American Economic Review, American Economic Association, vol. 99(3), pages 769-803, June.
    6. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    7. Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 223-251.
    8. Martin, Daniel, 2017. "Strategic pricing with rational inattention to quality," Games and Economic Behavior, Elsevier, vol. 104(C), pages 131-145.
    9. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    10. Antonella Tutino, 2013. "Rationally inattentive consumption choices," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 421-439, July.
    11. Filip Matejka & Alisdair McKay, 2012. "Simple Market Equilibria with Rationally Inattentive Consumers," American Economic Review, American Economic Association, vol. 102(3), pages 24-29, May.
    12. Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.
    13. Gloria Sheu, 2014. "Price, Quality, and Variety: Measuring the Gains from Trade in Differentiated Products," American Economic Journal: Applied Economics, American Economic Association, vol. 6(4), pages 66-89, October.
    14. Stephen J Redding & David E Weinstein, 2020. "Measuring Aggregate Price Indices with Taste Shocks: Theory and Evidence for CES Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 503-560.
    15. Edmond, Chris & Veldkamp, Laura, 2009. "Income dispersion and counter-cyclical markups," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 791-804, September.
    16. Redding, Stephen J. & Weinstein, David E., 2016. "A unified approach to estimating demand and welfare," LSE Research Online Documents on Economics 67681, London School of Economics and Political Science, LSE Library.
    17. Andrew Caplin & Mark Dean, 2015. "Revealed Preference, Rational Inattention, and Costly Information Acquisition," American Economic Review, American Economic Association, vol. 105(7), pages 2183-2203, July.
    18. Alan P. Kirman, 1992. "Whom or What Does the Representative Individual Represent?," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 117-136, Spring.
    19. Anderson, Simon P. & De Palma, Andre & Thisse, Jacques-Francois, 1987. "The CES is a discrete choice model?," Economics Letters, Elsevier, vol. 24(2), pages 139-140.
    20. Anderson, Simon P. & de Palma, Andre & Thisse, Jacques-Francois, 1988. "The CES and the logit : Two related models of heterogeneity," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 155-164, February.
    21. Christopher J. Nekarda & Valerie A. Ramey, 2020. "The Cyclical Behavior of the Price‐Cost Markup," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(S2), pages 319-353, December.
    22. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    23. Jacques-Francois Thisse & Philip Ushchev, 2016. "When Can A Demand System Be Described By A Multinomial Logit With Income Effect?," HSE Working papers WP BRP 139/EC/2016, National Research University Higher School of Economics.
    24. Tito, Maria D., 2016. "Welfare evaluation in a heterogeneous agent model: How representative is the CES representative consumer?," Economics Letters, Elsevier, vol. 143(C), pages 99-102.
    25. Bergstrand, Jeffrey H. & Egger, Peter & Larch, Mario, 2013. "Gravity Redux: Estimation of gravity-equation coefficients, elasticities of substitution, and general equilibrium comparative statics under asymmetric bilateral trade costs," Journal of International Economics, Elsevier, vol. 89(1), pages 110-121.
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    3. Schmidt, Julia & Steingress, Walter, 2022. "No double standards: Quantifying the impact of standard harmonization on trade," Journal of International Economics, Elsevier, vol. 137(C).
    4. Witajewski-Baltvilks Jan & Boratyński Jakub, 2021. "Workers or Consumers: Who Pays for Low-Carbon Transition – Theoretical Analysis of Welfare Change in General Equilibrium Setting," Central European Economic Journal, Sciendo, vol. 8(55), pages 231-245, January.

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    More about this item

    Keywords

    Discrete choice; Rational inattention; CES utility function; Multinomial logit; Representative consumer; Demand system;
    All these keywords.

    JEL classification:

    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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