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A Logit Model With Endogenous Explanatory Variables and Network Externalities

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  • Louis Grange
  • Felipe González
  • Ignacio Vargas
  • Rodrigo Troncoso

Abstract

A novel logit model is presented that explicitly includes endogeneity in explanatory variables whose values depend on individual choice decisions that involve network externalities or social interactions such as those impacting road congestion or public transport comfort and convenience. The proposed specification corrects for this particular type of endogeneity. The model is derived from a linearly constrained maximum entropy optimization problem that incorporates the network externalities or social interactions causing the endogeneity. It is validated through simulations and an application to a case of transport mode choice in a Chilean city using real data. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Louis Grange & Felipe González & Ignacio Vargas & Rodrigo Troncoso, 2015. "A Logit Model With Endogenous Explanatory Variables and Network Externalities," Networks and Spatial Economics, Springer, vol. 15(1), pages 89-116, March.
    • Handle: RePEc:kap:netspa:v:15:y:2015:i:1:p:89-116
    DOI: 10.1007/s11067-014-9271-5
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    1. Peter Kooreman & Adriaan R. Soetevent, 2007. "A discrete-choice model with social interactions: with an application to high school teen behavior," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 599-624.
    2. Haab, Timothy C. & Hicks, Robert L., 1997. "Accounting for Choice Set Endogeneity in Random Utility Models of Recreation Demand," Journal of Environmental Economics and Management, Elsevier, vol. 34(2), pages 127-147, October.
    3. Khan, Shakeeb & Lewbel, Arthur, 2007. "Weighted And Two-Stage Least Squares Estimation Of Semiparametric Truncated Regression Models," Econometric Theory, Cambridge University Press, vol. 23(2), pages 309-347, April.
    4. Thierry Magnac & Eric Maurin, 2008. "Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 835-864.
    5. Laura Márquez-Ramos & Inmaculada Martínez-Zarzoso & Eva Pérez-García & Gordon Wilmsmeier, 2011. "“Special Issue on Latin-American Research” Maritime Networks, Services Structure and Maritime Trade," Networks and Spatial Economics, Springer, vol. 11(3), pages 555-576, September.
    6. Raveau, Sebastián & Muñoz, Juan Carlos & de Grange, Louis, 2011. "A topological route choice model for metro," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(2), pages 138-147, February.
    7. Arthur Lewbel, 1998. "Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors," Econometrica, Econometric Society, vol. 66(1), pages 105-122, January.
    8. Walker, Joan & Ben-Akiva, Moshe, 2002. "Generalized random utility model," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 303-343, July.
    9. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, January.
    10. Ai, Chunrong & Gan, Li, 2010. "An alternative root-n consistent estimator for panel data binary choice models," Journal of Econometrics, Elsevier, vol. 157(1), pages 93-100, July.
    11. de Grange, Louis & Troncoso, Rodrigo & Ibeas, Angel & González, Felipe, 2009. "Gravity model estimation with proxy variables and the impact of endogeneity on transportation planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(2), pages 105-116, February.
    12. Richard W. Blundell & James L. Powell, 2004. "Endogeneity in Semiparametric Binary Response Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 655-679.
    13. Dan Bogart, 2009. "Inter-Modal Network Externalities and Transport Development: Evidence from Roads, Canals, and Ports During the English Industrial Revolution," Networks and Spatial Economics, Springer, vol. 9(3), pages 309-338, September.
    14. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    15. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    16. Walker, Joan L. & Ehlers, Emily & Banerjee, Ipsita & Dugundji, Elenna R., 2011. "Correcting for endogeneity in behavioral choice models with social influence variables," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(4), pages 362-374, May.
    17. Magnac, Thierry & Maurin, Eric, 2007. "Identification and information in monotone binary models," Journal of Econometrics, Elsevier, vol. 139(1), pages 76-104, July.
    18. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    19. 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.
    20. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    21. Mohamad Hasan & Hussain Dashti, 2007. "A Multiclass Simultaneous Transportation Equilibrium Model," Networks and Spatial Economics, Springer, vol. 7(3), pages 197-211, September.
    22. Batarce, Marco & Ivaldi, Marc, 2014. "Urban travel demand model with endogenous congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 331-345.
    23. Lewbel, Arthur, 2007. "Endogenous selection or treatment model estimation," Journal of Econometrics, Elsevier, vol. 141(2), pages 777-806, December.
    24. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    25. Francisco Amador & Rosa González & Juan Dios Ortúzar, 2008. "On Confounding Preference Heterogeneity and Income Effect in Discrete Choice Models," Networks and Spatial Economics, Springer, vol. 8(2), pages 97-108, September.
    26. David Boyce, 2007. "Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models," Networks and Spatial Economics, Springer, vol. 7(2), pages 99-128, June.
    27. H C W L Williams, 1977. "On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit," Environment and Planning A, , vol. 9(3), pages 285-344, March.
    28. Efrat Blumenfeld-Lieberthal, 2009. "The Topology of Transportation Networks: A Comparison Between Different Economies," Networks and Spatial Economics, Springer, vol. 9(3), pages 427-458, September.
    29. Joel L. Horowitz, 1983. "Statistical Comparison of Non-Nested Probabilistic Discrete Choice Models," Transportation Science, INFORMS, vol. 17(3), pages 319-350, August.
    30. Joaquin De Cea & J. Enrique Fernandez & Louis De Grange, 2007. "Combined Models with Hierarchical Demand Choices: A Multi‐Objective Entropy Optimization Approach," Transport Reviews, Taylor & Francis Journals, vol. 28(4), pages 415-438, October.
    31. Bhat, Chandra R. & Guo, Jessica, 2004. "A mixed spatially correlated logit model: formulation and application to residential choice modeling," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 147-168, February.
    32. Louis Grange & Enrique Fernández & Joaquín Cea & Magdalena Irrazábal, 2010. "Combined Model Calibration and Spatial Aggregation," Networks and Spatial Economics, Springer, vol. 10(4), pages 551-578, December.
    33. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
    34. J. Miguel Villas-Boas & Russell S. Winer, 1999. "Endogeneity in Brand Choice Models," Management Science, INFORMS, vol. 45(10), pages 1324-1338, October.
    35. Louis Grange & Angel Ibeas & Felipe González, 2011. "A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation," Networks and Spatial Economics, Springer, vol. 11(3), pages 439-463, September.
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    Cited by:

    1. Mokhtarian, Patricia L., 2016. "Presenting the Independence of Irrelevant Alternatives property in a first course on logit modeling," Journal of choice modelling, Elsevier, vol. 21(C), pages 25-29.
    2. Stefano Mainardi, 2021. "Preference heterogeneity, neighbourhood effects and basic services: logit kernel models for farmers’ climate adaptation in Ethiopia," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(5), pages 6869-6912, May.
    3. José Luis Espinosa-Aranda & Ricardo García-Ródenas & María Luz López-García & Eusebio Angulo, 2018. "Constrained nested logit model: formulation and estimation," Transportation, Springer, vol. 45(5), pages 1523-1557, September.
    4. Wang, Yu & Wang, Yacan & Ettema, Dick & Mao, Zidan & Charlton, Samuel G. & Zhou, Huiyu, 2020. "Commuter value perceptions in peak avoidance behavior: An empirical study in the Beijing subway system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 139(C), pages 70-84.

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    More about this item

    Keywords

    Logit model; Endogeneity; Bias; Network externalities; Social interactions; Fixed point; Maximum entropy; C13; C5; C6; R4;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

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