Publication:
A class of learning by doing model with multiplicative uncertainty: economic implications

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1997
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Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE)
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Abstract
Learning by doing denotes the cost reduction in production that firms achieve with their output. We check if the known properties of deterministic models, concerning the behaviour of the finns, hold under uncertainty. A discrete time and finite horizon model is considered: a monopolist, facing a linear demand, maximizes the expected profit flow, with multiplicative uncertainty on the cost reduction and an upper bound for this reduction. We show analytically that some properties do hold and some others do not.
Learning by doing denota la reducción de costes de producción que las empresas logran mediante la experiencia. Se analiza si las propiedades conocidas para modelos determinísticos, relativas al comportamiento óptimo de las empresas, se mantienen bajo incertidumbre. Se considera un modelo en tiempo discreto y horizonte finito. Un monopolista, enfrentado a una demanda lineal, maximiza el flujo esperado de beneficios, con incertidumbre multiplicativa en la reducción de costes y un límite superior en esta reducción. Se prueba analíticamente que algunas propiedades del caso determinístico se mantienen bajo incertidumbre y otras no.
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ALVAREZ, P. and CERDA, E. (1997a), "A Solution Method for a Class of Learning by Doing Models", mimeo. ALVAREZ, F. and CERDA, E. (1997b), "A Solution Method for a Class of Learning by Doing Models with Multiplicative Uncertainty", mimeo. ARGOTE, L., BECKMAN, S. L. Y APPLE, D. (1990), "The Persistence and Transfer of Learning in Industrial Settings", Management Science, Vol. 36, No. 2, pp. 140-154. ARROW, K. J. (1962), "The Economic Implications of Learning by Doing", Review of Economic Studies, 29, 155-173. DASGUPTA, P. and STIGLITZ, J. (1988), "Learning-by-Doing, Market Structure and Industrial and Trade Policies", Oxford Economic Papers, 40, 246-268. DICK, A. R. (1991), "Learning by Doing and Dumping in the Semiconductor Industry", Journal of Law & Economics, vol. XXXIV, pp. 133-159. FUDENBERG, D. and TIROLE, J. (1983), "Learning-by-Doing and Market Perfomance", Bell Journal of Economics, 14,522-530. JOSKOW, P. L. Y ROZANSKI. G. A. (1979), "The effects of Learning by Doing on Nuclear plant Operating Reability", The Review of Economics and Statistic, Vol. LXI, No. 2, pp. 161-168. LESTER, R. K. Y McCABE M. J. (1993), "The Effect of Industrial Structure on Learning by Doing in Nuclear Power Plant Operation", RAND Journal of Economics, Vol. 24, No. 3, pp. 418-438. KENDRICK, D. (1981), "Stochastic Control for Economic Models", McGraw-Hill, New York. STOCKEY, N. (1986), "The Dynamics of Industry-wide Learning", en W. P. HelIer, R. M. Starr and D.A. Starrett, Eds, "Equilibrium Analysis: Essays in Honour ofKenneth J. Arrow ", Vol II, Cambrigde University Press. WRIGHT, T. P. (1936), "Pactors Affecting the Costs of Airplanes", Journal of Auronautical Science, 3, pp. 122-128.