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Relaxing the IIA Assumption in Locational Choice Models: A Comparison Between Conditional Logit, Mixed Logit, and Multinomial Probit Models

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  • Dahlberg, Matz

    (Department of Economics)

  • Eklöf, Matias

    (Department of Economics)

Abstract

This paper estimates a locational choice model to assess the demand for local public services, using a data set where individuals chooses between 26 municipalities within a local labor market. We assess the importance of the IIA assumption by comparing the predictions of three difference models; the conditional logit (CL) model, the mixed logit (MXL) model, and the multinomial probit (MNP) model. Our main finding is that a MXL or a MNP estimator leads to exactly the same conclusions as the traditional CL estimator. That is, given the data used here, the IIA assumption, and hence the use of a CL estimator, seems to be valid when estimating Tiebout-related migration. The only instance when we get somewhat different results when using the MXL or MNP estimator compared with the CL estimator is when we have a too parsimonious model. One possible hypothesis explaining this result is that omitted variables are captured by the distribution parameters of the coeffcients of the included variables, leading to the false conclusion that the coefficients are not fixed. This hypothesis is supported by the results from a Monte Carlo investigation.

Suggested Citation

  • Dahlberg, Matz & Eklöf, Matias, 2003. "Relaxing the IIA Assumption in Locational Choice Models: A Comparison Between Conditional Logit, Mixed Logit, and Multinomial Probit Models," Working Paper Series 2003:9, Uppsala University, Department of Economics.
    • Handle: RePEc:hhs:uunewp:2003_009
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    1. Borsch-Supan, Axel & Hajivassiliou, Vassilis A., 1993. "Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models," Journal of Econometrics, Elsevier, vol. 58(3), pages 347-368, August.
    2. Rosen, Harvey S & Fullerton, David J, 1977. "A Note on Local Tax Rates, Public Benefit Levels, and Property Values," Journal of Political Economy, University of Chicago Press, vol. 85(2), pages 433-440, April.
    3. Bergstrom, Theodore C & Goodman, Robert P, 1973. "Private Demands for Public Goods," American Economic Review, American Economic Association, vol. 63(3), pages 280-296, June.
    4. Nechyba, Thomas J. & Strauss, Robert P., 1998. "Community choice and local public services: A discrete choice approach," Regional Science and Urban Economics, Elsevier, vol. 28(1), pages 51-73, January.
    5. Widerstedt, Barbro, 1998. "Moving or Staying? Job Mobility as a Sorting Process," Umeå Economic Studies 464, Umeå University, Department of Economics.
    6. Dahlberg, M. & Fredriksson, P., 2001. "Migration and Local Public Services," Papers 2001-12, Uppsala - Working Paper Series.
    7. Bergstrom, Theodore C & Rubinfeld, Daniel L & Shapiro, Perry, 1982. "Micro-Based Estimates of Demand Functions for Local School Expenditures," Econometrica, Econometric Society, vol. 50(5), pages 1183-1205, September.
    8. Brownstone, David & Train, Kenneth, 1998. "Forecasting new product penetration with flexible substitution patterns," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 109-129, November.
    9. David Revelt & Kenneth Train, 1998. "Mixed Logit With Repeated Choices: Households' Choices Of Appliance Efficiency Level," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 647-657, November.
    10. Edin, P.-A. & Fredriksson, P., 2000. "LINDA - Longitudinal INdividual DAta for Sweden," Papers 2000:19, Uppsala - Working Paper Series.
    11. Yinger, John, 1982. "Capitalization and the Theory of Local Public Finance," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 917-943, October.
    12. Joseph Friedman, 1981. "A Conditional Logit Model of the Role of Local Public Services in Residential Choice," Urban Studies, Urban Studies Journal Limited, vol. 18(3), pages 347-358, October.
    13. Quigley, John M., 1985. "Consumer choice of dwelling, neighborhood and public services," Regional Science and Urban Economics, Elsevier, vol. 15(1), pages 41-63, February.
    14. Hajivassiliou, Vassilis & McFadden, Daniel & Ruud, Paul, 1996. "Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 85-134.
    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. Daniel McFadden, 1977. "Modelling the Choice of Residential Location," Cowles Foundation Discussion Papers 477, Cowles Foundation for Research in Economics, Yale University.
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    More about this item

    Keywords

    Locational choice; Tiebout migration; Mixed logit; Multinomial probit;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • H72 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Budget and Expenditures
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects

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