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Coherence and Completeness of Structural Models Containing a Dummy Endogenous Variable

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  • Arthur Lewbel

    () (Boston College)

Abstract

Let y be a vector endogenous variables and let w be a vector of covariates, parameters and errors or unobservables that together are assumed to determine y. A structural model y=H(y,w) is complete and coherent if it has a well defined reduced form, meaning that for any value of w there exists a unique value for y. Coherence and completeness simplifies identification, and is required for many estimators and many model applications. Incoherency or incompleteness can arise in models with multiple decision makers such as games, or when the decision making of individuals is either incorrectly or incompletely specified. This paper provides necessary and sufficient conditions for the coherence and completeness of simultaneous equation systems where one equation is a binomial response. Examples are dummy endogenous regressor models, regime switching regressions, treatment response models, sample selection models, endogenous choice systems, and determining if a pair of binary choices are substitutes or complements.

Suggested Citation

  • Arthur Lewbel, 1997. "Coherence and Completeness of Structural Models Containing a Dummy Endogenous Variable," Boston College Working Papers in Economics 456, Boston College Department of Economics, revised 04 Sep 2006.
  • Handle: RePEc:boc:bocoec:456
    Note: Previously circulated as "Coherence of Structural Models Containing a Dummy Endogenous Variable"
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    References listed on IDEAS

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    1. Charles F. Manski & Elie Tamer, 2002. "Inference on Regressions with Interval Data on a Regressor or Outcome," Econometrica, Econometric Society, vol. 70(2), pages 519-546, March.
    2. Dagenais, M.G., 1997. "A Simultaneous Probit Model," G.R.E.Q.A.M. 97a33, Universite Aix-Marseille III.
    3. Mitali Das, 2000. "Instrumental Variables Estimation of Nonparametric Models with Discrete Endogenous Regressors," Econometric Society World Congress 2000 Contributed Papers 1008, Econometric Society.
    4. Blundell, Richard & Smith, Richard J., 1994. "Coherency and estimation in simultaneous models with censored or qualitative dependent variables," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 355-373.
    5. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    6. Gourieroux, C & Laffont, J J & Monfort, A, 1980. "Coherency Conditions in Simultaneous Linear Equation Models with Endogenous Switching Regimes," Econometrica, Econometric Society, vol. 48(3), pages 675-695, April.
    7. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September.
    8. Aradillas-Lopez, Andres, 2010. "Semiparametric estimation of a simultaneous game with incomplete information," Journal of Econometrics, Elsevier, vol. 157(2), pages 409-431, August.
    9. G. S. Maddala & Lung-Fei Lee, 1976. "Recursive Models with Qualitative Endogenous Variables," NBER Chapters,in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 525-545 National Bureau of Economic Research, Inc.
    10. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
    11. Bresnahan, Timothy F. & Reiss, Peter C., 1991. "Empirical models of discrete games," Journal of Econometrics, Elsevier, vol. 48(1-2), pages 57-81.
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    Cited by:

    1. Changhui Kang & Myoung-jae Lee, 2010. "Performance Of Various Estimators For Censored Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 15(4), pages 447-463, October.
    2. Pesaran, M. Hashem & Pick, Andreas, 2007. "Econometric issues in the analysis of contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1245-1277, April.
    3. Grosjean, Pauline & Kontoleon, Andreas, 2009. "How Sustainable are Sustainable Development Programs? The Case of the Sloping Land Conversion Program in China," World Development, Elsevier, vol. 37(1), pages 268-285, January.
    4. 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.
    5. George van Leeuwen & Pierre Mohnen, 2017. "Revisiting the Porter hypothesis: an empirical analysis of Green innovation for the Netherlands," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 26(1-2), pages 63-77, February.
    6. Xiao, Junji & Ju, Heng, 2016. "The determinants of dealership structure: Empirical analysis of the Chinese auto market," Journal of Comparative Economics, Elsevier, vol. 44(4), pages 961-981.
    7. Arthur Lewbel, 2006. "Modeling Heterogeneity," Boston College Working Papers in Economics 650, Boston College Department of Economics.
    8. repec:eee:wdevel:v:107:y:2018:i:c:p:382-395 is not listed on IDEAS
    9. Hou, Jun & Mohnen, Pierre, 2013. "Complementarity between internal knowledge creation and external knowledge sourcing in developing countries," MERIT Working Papers 010, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    10. Massacci, D., 2007. "Identification and Estimation in an Incoherent Model of Contagion," Cambridge Working Papers in Economics 0744, Faculty of Economics, University of Cambridge.
    11. Mancino, Maria Antonella & Navarro, Salvador & Rivers, David A., 2016. "Separating state dependence, experience, and heterogeneity in a model of youth crime and education," Economics of Education Review, Elsevier, vol. 54(C), pages 274-305.
    12. Changhui Kang & Myoung-jae Lee, 2014. "Estimation of Binary Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 19(4), pages 502-530, October.
    13. David Aristei & Michela Vecchi & Francesco Venturini, 2016. "University and inter-firm R&D collaborations: propensity and intensity of cooperation in Europe," The Journal of Technology Transfer, Springer, vol. 41(4), pages 841-871, August.
    14. Yingying Dong & Arthur Lewbel, 2012. "Simple Estimators for Binary Choice Models with Endogenous Regressors," Working Papers 111204, University of California-Irvine, Department of Economics.
    15. 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.
    16. Van Leeuwen, George & Polder, Michael, 2013. "Linking ICT related Innovation Adoption and Productivity: results from micro-aggregated data versus firm-level data," MPRA Paper 46479, University Library of Munich, Germany.
    17. Aradillas-Lopez, Andres, 2010. "Semiparametric estimation of a simultaneous game with incomplete information," Journal of Econometrics, Elsevier, vol. 157(2), pages 409-431, August.

    More about this item

    Keywords

    binary choice; binomial response; simultaneous equations; endogeneity; coherency; latent variable models;

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