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Modèles d’équations simultanées pour variables endogènes fictives : une formulation par la théorie des jeux avec application à la participation au marché du travail

  • Bjorn, Paul A.

    (California Institute of Technology)

  • Vuong, Quang H.

    (California Institute of Technology)

Registered author(s):

    A game theoretic approach for formulating simultaneous equations models for dummy endogenous variables is proposed and applied to a study of husband/wife labor force participation. A distinctive feature of our approach is that the simultaneous model is derived from optimizing behavior as an outcome of a game between two players. The equilibrium concept used is that of Nash. In addition, we show that the logical consistency conditions implied by usual simultaneous equation models with structural shift actually rules out simultaneity for the problem we consider; in our model, no logical consistency conditions are implied on the parameters. Les auteurs proposent une méthode inspirée par la théorie des jeux pour formuler des modèles d’équations simultanées et les appliquer à l’étude de la décision de deux personnes mariées de participer ou pas au marché du travail. Leur démarche se distingue par le fait que le modèle simultané utilise le résultat d’un jeu entre deux joueurs pour obtenir le comportement d’optimisation. Le concept d’équilibre retenu est celui de Nash. Par ailleurs, les auteurs démontrent que les conditions de cohérence logique, sont implicites dans les modèles d’équations simultanées avec glissement structurel, interdiraient en fait la simultanéité dans la modélisation du problème qu’ils considèrent. Par conséquent, leur modèle ne suppose aucune condition de cohérence logique dans les paramètres.

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    Article provided by Société Canadienne de Science Economique in its journal L'Actualité économique.

    Volume (Year): 73 (1997)
    Issue (Month): 1 (mars-juin-septembre)
    Pages: 161-205

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    Handle: RePEc:ris:actuec:v:73:y:1997:i:1:p:161-205
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    1. Orley Ashenfelter & James Heckman, 1971. "The Estimation of Income and Substitution Effects in a Model of Family Labor Supply," Working Papers 402, Princeton University, Department of Economics, Industrial Relations Section..
    2. Gronau, Reuben, 1973. "The Effect of Children on the Housewife's Value of Time," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages S168-99, Part II, .
    3. James J. Heckman, 1977. "Dummy Endogenous Variables in a Simultaneous Equation System," NBER Working Papers 0177, National Bureau of Economic Research, Inc.
    4. 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.
    5. E.K. Berndt & B.H. Hall & R.E. Hall, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 653-665 National Bureau of Economic Research, Inc.
    6. Heckman, James J & Macurdy, Thomas E, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 47-74, January.
    7. Nelson, Forrest & Olson, Lawrence, 1978. "Specification and Estimation of a Simultaneous-Equation Model with Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 695-709, October.
    8. Lazear, Edward P, 1977. "Education: Consumption or Production?," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 569-97, June.
    9. Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
    10. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-91, May.
    11. Nakamura, Alice & Nakamura, Masao, 1981. "A Comparison of the Labor Force Behavior of Married Women in the United States and Canada, with Special Attention to the Impact of Income Taxes," Econometrica, Econometric Society, vol. 49(2), pages 451-89, March.
    12. Bowden, Roger J, 1973. "The Theory of Parametric Identification," Econometrica, Econometric Society, vol. 41(6), pages 1069-74, November.
    13. Waldman, Donald M, 1981. "An Economic Interpretation of Parameter Constraints in a Simultaneous-Equations Model with Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 731-39, October.
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