Fosgerau, Mogens and Melo, Emerson and Shum, Matt (2017): Discrete Choice and Rational Inattention: a General Equivalence Result�.
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Abstract
This paper establishes a general equivalence between discrete choice and rational inattention models. We show that the choice probabilities emerging from any random utility discrete choice model can be obtained from a class of suitably generalized rational inattention models, and vice versa. Thus any discrete choice model can be given an interpretation in terms of boundedly rational behavior. The underlying idea is that the surplus function of a discrete choice model has a convex conjugate that is a generalized entropy (which is a suitable generalization of the Shannon entropy function). These generalized entropies are used to construct an information cost function for a generalized rational inattention model. We denote this class of rational inattention problems as Generalized Entropic Rational Inattention (GERI) models.
Item Type: | MPRA Paper |
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Original Title: | Discrete Choice and Rational Inattention: a General Equivalence Result� |
Language: | English |
Keywords: | Rational Inattention; discrete choices; general entropy; con- vex analysis |
Subjects: | C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C25 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions ; Probabilities D - Microeconomics > D0 - General > D03 - Behavioral Microeconomics: Underlying Principles D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty E - Macroeconomics and Monetary Economics > E0 - General > E03 - Behavioral Macroeconomics |
Item ID: | 76605 |
Depositing User: | Prof. Mogens Fosgerau |
Date Deposited: | 05 Feb 2017 10:02 |
Last Modified: | 30 Sep 2019 05:13 |
References: | A. Caplin, M. Dean, and J. Leahy (2016). Rational Inattention, Optimal consideration sets and stochastic choice. Working paper. A. Caplin, J. Leahy, and F. Matejka (2016). Rational Inattention and Inference from market Share Data. Working paper. K. Chiong, A. Galichon, and M. Shum (2016). Duality in Dynamic Discrete Choice Models. Quantitative Economics, 7 (1), pp. 83-115. H. de Oliveira, T. Denti, M. Mihm, K. Ozbek (2015). Rationally Inattentive Preferences and Hidden Information Costs. Working paper. D. Fudenberg, R. Iijima, and T. Strzalecki (2015). Stochasic Choice and Revealed Perturbed Utility. Econometrica, 83 (6), pp. 2371-2409. M. Fosgerau and A. de Palma (2016). Generalized entropy models. {\em MPRA Paper No. 70249}. B. H\'{e}bert and M. Woodford (2016). Rational Inattention with Sequential Information Sampling. Working paper. T. Rockafellar (1970). Convex Analysis. Princeton University Press, 1970. F. Maccheroni, M. Marinacci, and A. Rustichini (2006). Ambiguity Aversion, Robustness, and the Variational Representation of Preferences, Econometrica, 74(6): 1447--1498. F. Matejka and A. McKay (2015). Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model, American Economic Review, 105(1): 272--98. D. McFadden (1978). Modelling the choice of residential location. In {\em Spatial Interaction Theory and Residential Location} (A. Karlquist et. al., eds.), North-Holland, Amsterdam. D. McFadden (1981). Econometric Models of Probabilistic Choice. In: C.Manski and D. McFadden (Eds), Structural Analysis of Discrete Data with Economic Applications, Cambridge, MA: MIT Press, 198--272. C.E. Shannon (1948). A Mathematical Theory of Communication. {\em Bell System Technical Journal} 27(3): 379--423. C. Sims (2010). Rational inattention and monetary economics. Handbook of Monetary Economics, Volume 3, pp. 155-181. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/76605 |
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