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Dynamic Factor Demands and Technology Measurement under Arbitrary Expectations

We present a dynamic model of factor demands based on expected discounted costs min-imization. While making only very mild assumptions on expectations and technology, we are able to establish a duality relationship between contemporary factor demands and the technology, and we provide formula for easily recovering marginal products, returns to scale, and technological change from estimated factor demands. Parametrization and implementation are illustrated in a detailed example. Nous présentons un modèle dynamique de demande de facteurs de production basé sur un comportement de minimisation de l'espérance des coûts cumulatifs actualisés. Sous des hypothèses peu restrictives sur les anticipations et la technologie, nous établissons une relation de dualité entre les demandes courantes de facteurs et la technologie. Produits marginaux, rendements d'échelle et progrès technologique peuvent se calculer simplement à partir des demandes de facteurs. Nous illustrons à travers un exemple détaillé une façon de paramétriser et d'appliquer le modèle.

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Paper provided by Université du Québec à Montréal, Département des sciences économiques in its series Cahiers de recherche du Département des sciences économiques, UQAM with number 9908.

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Length: 37
Date of creation: Aug 1999
Date of revision:
Publication status: published in Journal of Productivity Analysis; 11(3), June 1999, pages 219-41.
Handle: RePEc:cre:uqamwp:9908
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  1. M. Ishaq Nadiri & Ingmar R. Prucha, 1989. "Dynamic Factor Demand Models, Productivity Measurement, and Rates of Return: Theory and an Empirical Application to the U.S. Bell System," NBER Working Papers 3041, National Bureau of Economic Research, Inc.
  2. Lars Peter Hansen & Thomas J. Sargent, 1979. "Formulating and estimating dynamic linear rational expectations models," Working Papers 127, Federal Reserve Bank of Minneapolis.
  3. Shapiro, Matthew D, 1986. "The Dynamic Demand for Capital and Labor," The Quarterly Journal of Economics, MIT Press, vol. 101(3), pages 513-42, August.
  4. Nadiri, M. Ishaq & Prucha, Ingmar R., 1989. "Dynamic Factor Demand Models, Productivity Measurement, And Rates Return: Theory And An Empirical Application To The U.S. Bell System," Working Papers 89-15, C.V. Starr Center for Applied Economics, New York University.
  5. Bernstein, J.I. & Nadiri, M.I., 1988. "Rates Of Return On Physical And R&D Capital And Structure Of The Production Process: Cross Section And Time Series Evidence," Working Papers 88-09, C.V. Starr Center for Applied Economics, New York University.
  6. Kollintzas, Tryphon, 1985. "The Symmetric Linear Rational Expectations Model," Econometrica, Econometric Society, vol. 53(4), pages 963-76, July.
  7. Epstein, Larry G, 1981. "Duality Theory and Functional Forms for Dynamic Factor Demands," Review of Economic Studies, Wiley Blackwell, vol. 48(1), pages 81-95, January.
  8. McLaren, Keith R & Cooper, Russel J, 1980. "Intertemporal Duality: Application to the Theory of the Firm," Econometrica, Econometric Society, vol. 48(7), pages 1755-62, November.
  9. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  10. Epstein, Larry G & Denny, Michael G S, 1983. "The Multivariate Flexible Accelerator Model: Its Empirical Restrictions and an Application to U.S. Manufacturing," Econometrica, Econometric Society, vol. 51(3), pages 647-74, May.
  11. McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-57, August.
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