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Non-linear mixed logit

Author

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  • Steffen Andersen
  • Glenn Harrison
  • Arne Hole
  • Morten Lau
  • E. Rutström

Abstract

We develop an extension of the familiar linear mixed logit model to allow for the direct estimation of parametric non-linear functions defined over structural parameters. Classic applications include the estimation of coefficients of utility functions to characterize risk attitudes and discounting functions to characterize impatience. There are several unexpected benefits of this extension, apart from the ability to directly estimate structural parameters of theoretical interest.
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Suggested Citation

  • Steffen Andersen & Glenn Harrison & Arne Hole & Morten Lau & E. Rutström, 2012. "Non-linear mixed logit," Theory and Decision, Springer, vol. 73(1), pages 77-96, July.
    • Handle: RePEc:kap:theord:v:73:y:2012:i:1:p:77-96
    DOI: 10.1007/s11238-011-9277-0
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    1. Matzkin, Rosa L, 1992. "Nonparametric and Distribution-Free Estimation of the Binary Threshold Crossing and the Binary Choice Models," Econometrica, Econometric Society, vol. 60(2), pages 239-270, March.
    2. David M. Drukker & Richard Gates, 2006. "Generating Halton sequences using Mata," Stata Journal, StataCorp LP, vol. 6(2), pages 214-228, June.
    3. Pagan,Adrian & Ullah,Aman, 1999. "Nonparametric Econometrics," Cambridge Books, Cambridge University Press, number 9780521355643.
    4. Matzkin, Rosa L, 1991. "Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models," Econometrica, Econometric Society, vol. 59(5), pages 1315-1327, September.
    5. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, October.
    6. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    7. Joseph A. Herriges & Daniel J. Phaneuf, 2002. "Inducing Patterns of Correlation and Substitution in Repeated Logit Models of Recreation Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(4), pages 1076-1090.
    8. Arne Risa Hole, 2007. "Fitting mixed logit models by using maximum simulated likelihood," Stata Journal, StataCorp LP, vol. 7(3), pages 388-401, September.
    9. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    10. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    11. Binswanger, Hans P, 1981. "Attitudes toward Risk: Theoretical Implications of an Experiment in Rural India," Economic Journal, Royal Economic Society, vol. 91(364), pages 867-890, December.
    12. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    13. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053.
    14. Chen, Heng Z. & Randall, Alan, 1997. "Semi-nonparametric estimation of binary response models with an application to natural resource valuation," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 323-340.
    15. Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
    16. White, Halbert, 1980. "Using Least Squares to Approximate Unknown Regression Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 149-170, February.
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    Cited by:

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    3. Antoni Bosch-Domènech & José Montalvo & Rosemarie Nagel & Albert Satorra, 2010. "A finite mixture analysis of beauty-contest data using generalized beta distributions," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 461-475, December.
    4. Fossen, Frank M. & Glocker, Daniela, 2017. "Stated and revealed heterogeneous risk preferences in educational choice," European Economic Review, Elsevier, vol. 97(C), pages 1-25.
    5. Balbontin, Camila & Hensher, David A. & Collins, Andrew T., 2017. "Do familiarity and awareness influence voting intention: The case of road pricing reform?," Journal of choice modelling, Elsevier, vol. 25(C), pages 11-27.
    6. Glenn Harrison & J. Swarthout, 2014. "Experimental payment protocols and the Bipolar Behaviorist," Theory and Decision, Springer, vol. 77(3), pages 423-438, October.
    7. Day, Brett & Bateman, Ian & Binner, Amy & Ferrini, Silvia & Fezzi, Carlo, 2019. "Structurally-consistent estimation of use and nonuse values for landscape-wide environmental change," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    8. Aguilar, Francisco X. & Cai, Zhen & Mohebalian, Phillip & Thompson, Wyatt, 2015. "Exploring the drivers' side of the “blend wall”: U.S. consumer preferences for ethanol blend fuels," Energy Economics, Elsevier, vol. 49(C), pages 217-226.
    9. Thomas Meissner & David Albrecht, 2022. "Debt Aversion: Theory and Measurement," Papers 2207.07538, arXiv.org, revised Jul 2022.
    10. Steffen Andersen & John Fountain & Glenn Harrison & Arne Hole & E. Rutström, 2012. "Inferring beliefs as subjectively imprecise probabilities," Theory and Decision, Springer, vol. 73(1), pages 161-184, July.
    11. Li, Zheng, 2018. "Unobserved and observed heterogeneity in risk attitudes: Implications for valuing travel time savings and travel time variability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 112(C), pages 12-18.
    12. Martin Achtnicht, 2012. "German car buyers’ willingness to pay to reduce CO 2 emissions," Climatic Change, Springer, vol. 113(3), pages 679-697, August.
    13. Emmanuel Kemel & Muriel Travers, 2016. "Comparing attitudes toward time and toward money in experience-based decisions," Theory and Decision, Springer, vol. 80(1), pages 71-100, January.
    14. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2013. "Discounting Behaviour and the Magnitude Effect: Evidence from a Field Experiment in Denmark," Economica, London School of Economics and Political Science, vol. 80(320), pages 670-697, October.
    15. Balbontin, Camila & Hensher, David A. & Collins, Andrew T., 2017. "Integrating attribute non-attendance and value learning with risk attitudes and perceptual conditioning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 172-191.
    16. Lejarraga, Tomás & Lucena, Abel & Rubí-Barceló, Antoni, 2020. "Beliefs estimated from choices in Proposer-Responder Games," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 442-459.
    17. Burton, Michael P. & Rigby, Dan, 2012. "The Market for Essays," 2013 Conference (57th), February 5-8, 2013, Sydney, Australia 152195, Australian Agricultural and Resource Economics Society.
    18. Marasco, A. & Picucci, A. & Romano, A., 2016. "Market share dynamics using Lotka–Volterra models," Technological Forecasting and Social Change, Elsevier, vol. 105(C), pages 49-62.
    19. Anna Conte & Peter G Moffatt & Mary Riddel, 2019. "The Multivariate Random Preference Estimatorfor Switching Multiple Price List Data," University of East Anglia School of Economics Working Paper Series 2019-04, School of Economics, University of East Anglia, Norwich, UK..
    20. Meyer, Andrew G., 2015. "The impacts of elicitation mechanism and reward size on estimated rates of time preference," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 58(C), pages 132-148.
    21. Wijayaratna, Kasun P. & Dixit, Vinayak V., 2016. "Impact of information on risk attitudes: Implications on valuation of reliability and information," Journal of choice modelling, Elsevier, vol. 20(C), pages 16-34.

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    More about this item

    Keywords

    Risk attitudes; Random coefficients; Mixed logit; Lottery choices; Behavioral econometrics; Structural estimation;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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