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Invariance Axioms and Functional Form Restrictions in Structural Models

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Abstract

The dominant practice in economics is to choose the mathematical specification of model relations on the basis of convenience, without much theoretical support. This paper discusses how quantitative model specifications can, in some cases, be given a more formal scientific underpinning in the sense of being based on a priori theory. I use an example from discrete choice theory to illustrate that it is sometimes possible to obtain a complete characterization of the choice model derived from a set of plausible axioms. Furthermore, I discuss how axioms can be tested non-parametrically, given that suitable Stated Preference data are available.

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  • Dagsvik, John K, 2017. "Invariance Axioms and Functional Form Restrictions in Structural Models," Memorandum 08/2017, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2017_008
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    as
    1. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(3), pages 809-829, August.
    2. John D. Hey, 2018. "Why We Should Not Be Silent About Noise," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 13, pages 309-329, World Scientific Publishing Co. Pte. Ltd..
    3. Christopher Baum & Yingying Dong & Arthur Lewbel & Tao Yang, 2012. "Binary choice models with endogenous regressors," SAN12 Stata Conference 9, Stata Users Group.
    4. Blundell, Richard, 2010. "Comments on: Michael P. Keane 'Structural vs. atheoretic approaches to econometrics'," Journal of Econometrics, Elsevier, vol. 156(1), pages 25-26, May.
    5. Alan Kirman, 2010. "The Economic Crisis is a Crisis for Economic Theory ," CESifo Economic Studies, CESifo, vol. 56(4), pages 498-535, December.
    6. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    7. Joshua D. Angrist & Jörn-Steffen Pischke, 2010. "The Credibility Revolution in Empirical Economics: How Better Research Design Is Taking the Con out of Econometrics," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 3-30, Spring.
    8. Angrist, Joshua D, 2001. "Estimations of Limited Dependent Variable Models with Dummy Endogenous Regressors: Simple Strategies for Empirical Practice," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(1), pages 2-16, January.
    9. Steinar StrØm & John K. Dagsvik, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826.
    10. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    11. Sattath, Shmuel & Tversky, Amos, 1976. "Unite and Conquer: A Multiplicative Inequality for Choice Probabilities," Econometrica, Econometric Society, vol. 44(1), pages 79-89, January.
    12. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    13. John Dagsvik & Zhiyang Jia & Kristian Orsini & Guy Camp, 2011. "Subsidies on low-skilled workers’ social security contributions: the case of Belgium," Empirical Economics, Springer, vol. 40(3), pages 779-806, May.
    14. Xavier Gabaix, 2016. "Power Laws in Economics: An Introduction," Journal of Economic Perspectives, American Economic Association, vol. 30(1), pages 185-206, Winter.
    15. Aczel, Janos & Moszner, Zenon, 1994. "New results on 'scale' and 'size' arguments justifying invariance properties of empirical indices and laws," Mathematical Social Sciences, Elsevier, vol. 28(1), pages 3-33, August.
    16. Yingying Dong & Arthur Lewbel, 2015. "A Simple Estimator for Binary Choice Models with Endogenous Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 82-105, February.
    17. Heckman, J.J. & Hotz, V.J., 1988. "Choosing Among Alternative Nonexperimental Methods For Estimating The Impact Of Social Programs: The Case Of Manpower Training," University of Chicago - Economics Research Center 88-12, Chicago - Economics Research Center.
    18. 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.
    19. Olav Bjerkholt & Ariane Dupont, 2007. "Ragnar Frisch's Axiomatic Approach in Econometrics," Post-Print hal-01081715, HAL.
    20. Mirowski, Philip, 1984. "Physics and the 'Marginalist Revolution.'," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 8(4), pages 361-379, December.
    21. Dagsvik, John K, 1994. "Discrete and Continuous Choice, Max-Stable Processes, and Independence from Irrelevant Attributes," Econometrica, Econometric Society, vol. 62(5), pages 1179-1205, September.
    22. John K. Dagsvik, 2002. "Discrete Choice in Continuous Time: Implications of an Intertemporal Version of the Iia Property," Econometrica, Econometric Society, vol. 70(2), pages 817-831, March.
    23. John K. Dagsvik & Zhiyang Jia, 2016. "Labor Supply as a Choice Among Latent Jobs: Unobserved Heterogeneity and Identification," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(3), pages 487-506, April.
    24. Binmore, Ken & Shaked, Avner, 2010. "Experimental economics: Where next?," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 87-100, January.
    25. Ginther, Donna K., 2010. "An Interview With James J. Heckman," Macroeconomic Dynamics, Cambridge University Press, vol. 14(4), pages 548-584, September.
    26. Dagsvik, John K., 2008. "Axiomatization of stochastic models for choice under uncertainty," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 341-370, May.
    27. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 531-542.
    28. James J. Heckman, 2010. "Building Bridges between Structural and Program Evaluation Approaches to Evaluating Policy," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 356-398, June.
    29. Ken Binmore, 2007. "Does Game Theory Work? The Bargaining Challenge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026074, December.
    30. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    31. Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521425230, December.
    32. Rust, John, 2010. "Comments on: "Structural vs. atheoretic approaches to econometrics" by Michael Keane," Journal of Econometrics, Elsevier, vol. 156(1), pages 21-24, May.
    33. Dagsvik, John K. & Strom, Steinar & Jia, Zhiyang, 2006. "Utility of income as a random function: Behavioral characterization and empirical evidence," Mathematical Social Sciences, Elsevier, vol. 51(1), pages 23-57, January.
    34. Heckman, James J, 1991. "Identifying the Hand of the Past: Distinguishing State Dependence from Heterogeneity," American Economic Review, American Economic Association, vol. 81(2), pages 75-79, May.
    35. LaLonde, Robert J, 1986. "Evaluating the Econometric Evaluations of Training Programs with Experimental Data," American Economic Review, American Economic Association, vol. 76(4), pages 604-620, September.
    36. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    37. Dagsvik, John K., 2015. "Stochastic models for risky choices: A comparison of different axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 81-88.
    38. Roberts, Fred S. & Rosenbaum, Zangwill, 1986. "Scale type, meaningfulness, and the possible psychophysical laws," Mathematical Social Sciences, Elsevier, vol. 12(1), pages 77-95, August.
    39. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    40. Iverson, Geoffrey J. & Harp, Steven Alex, 1987. "A conditional likelihood ratio test for order restrictions in exponential families," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 141-159, October.
    41. Louviere,Jordan J. & Hensher,David A. & Swait,Joffre D. With contributions by-Name:Adamowicz,Wiktor, 2000. "Stated Choice Methods," Cambridge Books, Cambridge University Press, number 9780521788304.
    42. Heckman, James J, 1992. "Haavelmo and the Birth of Modern Econometrics: A Review of The History of Econometric Ideas," Journal of Economic Literature, American Economic Association, vol. 30(2), pages 876-886, June.
    43. Michael P. Keane, 2010. "A Structural Perspective on the Experimentalist School," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 47-58, Spring.
    44. Pierre-André Chiappori, 1990. "La théorie du consommateur est-elle réfutable ?," Revue Économique, Programme National Persée, vol. 41(6), pages 1001-1026.
    45. John Dagsvik & Stine Røine Hoff, 2011. "Justification of functional form assumptions in structural models: applications and testing of qualitative measurement axioms," Theory and Decision, Springer, vol. 70(2), pages 215-254, February.
    46. McFadden, Daniel, 1987. "Regression-based specification tests for the multinomial logit model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 63-82.
    47. Elster Jon, 2009. "Excessive Ambitions," Capitalism and Society, De Gruyter, vol. 4(2), pages 1-33, October.
    48. John Dagsvik, 2013. "Justification of functional form assumptions in structural models: a correction," Theory and Decision, Springer, vol. 75(1), pages 79-83, July.
    49. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Viewpoint: Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics, Canadian Economics Association, vol. 45(3), pages 809-829, August.
    50. 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.
    51. Binmore, Ken & Shaked, Avner, 2010. "Experimental Economics: Where Next? Rejoinder," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 120-121, January.
    52. Blavatskyy, Pavlo R., 2008. "Stochastic utility theorem," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1049-1056, December.
    53. Arthur Lewbel, 1989. "Exact Aggregation and a Representative Consumer," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(3), pages 621-633.
    54. Anand, Paul, 1993. "The Philosophy of Intransitive Preference," Economic Journal, Royal Economic Society, vol. 103(417), pages 337-346, March.
    55. Aczel, Janos & Roberts, Fred S., 1989. "On the possible merging functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 205-243, June.
    56. Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521415019, December.
    57. Angrist, Joshua D, 2001. "Estimations of Limited Dependent Variable Models with Dummy Endogenous Regressors: Simple Strategies for Empirical Practice: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(1), pages 27-28, January.
    58. Flinn, C. & Heckman, J., 1982. "New methods for analyzing structural models of labor force dynamics," Journal of Econometrics, Elsevier, vol. 18(1), pages 115-168, January.
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    More about this item

    Keywords

    Functional form; Theory of measurement; Invariance principles; Independence from Irrelevant Alternatives; Testing of inequality hypotheses;
    All these keywords.

    JEL classification:

    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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