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Dynamic Factor Demands and Technology Measurement Under Arbitrary Expectations

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Abstract

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. We present a dynamic model of factor demands based on expected discounted costs minimization. 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.

Suggested Citation

  • Pierre Lasserre & Pierre Ouellette, 1993. "Dynamic Factor Demands and Technology Measurement Under Arbitrary Expectations," Cahiers de recherche du Département des sciences économiques, UQAM 9509, Université du Québec à Montréal, Département des sciences économiques, revised Jul 1995.
    • Handle: RePEc:cre:uqamwp:9509
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    2. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    3. Caputo, Michael R., 2003. "The comparative dynamics of closed-loop controls for discounted infinite horizon optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1335-1365, June.
    4. Pierre Ouellette & Stéphane Vigeant, 2000. "A General Procedure to Recover the Marginal Products of a Cost Minimizing Firm," Journal of Productivity Analysis, Springer, vol. 14(2), pages 143-162, September.
    5. Krysiak, Frank C., 2006. "Stochastic intertemporal duality: An application to investment under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1363-1387, August.
    6. Pierre Ouellette & Stéphane Vigeant, 2003. "Technological choices and regulation: the case of the Canadian manufacturing sectors," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 88-125, February.
    7. Matteo Manera, 2006. "Modelling factor demands with SEM and VAR: an empirical comparison," Journal of Productivity Analysis, Springer, vol. 26(2), pages 121-146, October.
    8. Silva, Elvira & Lansink, Alfons Oude & Stefanou, Spiro E., 2015. "The adjustment-cost model of the firm: Duality and productive efficiency," International Journal of Production Economics, Elsevier, vol. 168(C), pages 245-256.
    9. Frank Asche & Subal Kumbhakar & Ragnar Tveteras, 2008. "A dynamic profit function with adjustment costs for outputs," Empirical Economics, Springer, vol. 35(2), pages 379-393, September.
    10. Elvira Silva & Alfons Oude Lansink, 2013. "Dynamic Efficiency Measurement: A Directional Distance Function Approach," CEF.UP Working Papers 1307, Universidade do Porto, Faculdade de Economia do Porto.
    11. Swetlana Renner & Thomas Glauben & Heinrich Hockmann & Pierre Ouellette, 2015. "Primal and dual multi-output flexibility measures," Journal of Productivity Analysis, Springer, vol. 44(2), pages 127-136, October.

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