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Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model

Author

Listed:
  • Alisdair McKay

    (Department of Economics, Boston University)

  • Filip Matejka

    (Center for Economic Research and Graduate Education, Prague)

Abstract

Individuals must often choose among discrete alternatives with imperfect informa- tion about their values. Before choosing, they may have an opportunity to study the options, but doing so is costly. This costly information acquisition creates new choices such as the number of and types of questions to ask. We model these situations using the rational inattention approach to information frictions. We nd that the decision maker's optimal strategy results in choosing probabilistically in line with a modi ed multinomial logit model. The modi cation arises because the decision maker's prior knowledge and attention allocation strategy a ect his evaluation of the alternatives. When the options are a priori homogeneous, the standard logit model emerges.

Suggested Citation

  • Alisdair McKay & Filip Matejka, 2011. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," Boston University - Department of Economics - Working Papers Series WP2011-026, Boston University - Department of Economics.
    • Handle: RePEc:bos:wpaper:wp2011-026
    as

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    1. Assar Lindbeck & Jörgen Weibull, 1987. "Balanced-budget redistribution as the outcome of political competition," Public Choice, Springer, vol. 52(3), pages 273-297, January.
    2. Bartosz Maćkowiak & Mirko Wiederholt, 2015. "Business Cycle Dynamics under Rational Inattention," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1502-1532.
    3. Filip Matějka, 2016. "Rationally Inattentive Seller: Sales and Discrete Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1125-1155.
    4. Bartosz Mackowiak & Mirko Wiederholt, 2009. "Optimal Sticky Prices under Rational Inattention," American Economic Review, American Economic Association, vol. 99(3), pages 769-803, June.
    5. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages 100-124.
    6. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    7. Mattsson, Lars-Göran & Voorneveld, Mark & Weibull, Jörgen W., 2004. "Better may be worse: Some monotonicity results and paradoxes in discrete choice," SSE/EFI Working Paper Series in Economics and Finance 558, Stockholm School of Economics, revised 13 Sep 2006.
    8. McFadden, Daniel, 1980. "Econometric Models for Probabilistic Choice among Products," The Journal of Business, University of Chicago Press, vol. 53(3), pages 13-29, July.
    9. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    10. Stijn Van Nieuwerburgh & Laura Veldkamp, 2010. "Information Acquisition and Under-Diversification," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 779-805.
    11. Mondria, Jordi, 2010. "Portfolio choice, attention allocation, and price comovement," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1837-1864, September.
    12. Stahl, D O, 1990. "Entropy Control Costs and Entropic Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 129-138.
    13. Goldberg, Pinelopi Koujianou, 1995. "Product Differentiation and Oligopoly in International Markets: The Case of the U.S. Automobile Industry," Econometrica, Econometric Society, vol. 63(4), pages 891-951, July.
    14. Luo Yulei & Young Eric R, 2009. "Rational Inattention and Aggregate Fluctuations," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-43, April.
    15. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    16. 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.
    17. Jörgen Weibull & Lars-Göran Mattsson & Mark Voorneveld, 2007. "Better May be Worse: Some Monotonicity Results and Paradoxes in Discrete Choice Under Uncertainty," Theory and Decision, Springer, vol. 63(2), pages 121-151, September.
    18. Daniel L. McFadden, 1976. "Quantal Choice Analysis: A Survey," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 363-390, National Bureau of Economic Research, Inc.
    19. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, October.
    20. Luigi Paciello & Mirko Wiederholt, 2014. "Exogenous Information, Endogenous Information, and Optimal Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 356-388.
    21. Tutino, Antonella, 2008. "The rigidity of choice: lifetime savings under information-processing constraints," MPRA Paper 16744, University Library of Munich, Germany, revised 24 Jul 2009.
    22. Ming Yang, 2011. "Coordination with Rational Inattention," Working Papers 1331, Princeton University, Department of Economics, Econometric Research Program..
    23. Paulo Natenzon, 2019. "Random Choice and Learning," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 419-457.
    24. Anas, Alex, 1983. "Discrete choice theory, information theory and the multinomial logit and gravity models," Transportation Research Part B: Methodological, Elsevier, vol. 17(1), pages 13-23, February.
    25. Frank Verboven, 1996. "International Price Discrimination in the European Car Market," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 240-268, Summer.
    26. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    27. Ming Yang, 2011. "Coordination with Rational Inattention," Working Papers 1317, Princeton University, Department of Economics, Econometric Research Program..
    28. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    29. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    30. Matějka, Filip, 2015. "Rigid pricing and rationally inattentive consumer," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 656-678.
    31. Sims, Christopher A., 2010. "Rational Inattention and Monetary Economics," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 4, pages 155-181, Elsevier.
    32. Christopher A. Sims, 2006. "Rational Inattention: Beyond the Linear-Quadratic Case," American Economic Review, American Economic Association, vol. 96(2), pages 158-163, May.
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    More about this item

    Keywords

    discrete choice; information; rational inattention; multinomial logit.;
    All these keywords.

    JEL classification:

    • 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
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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