Abstract
We consider an industry consisting of a large number of firms producing substitutable products and engaged in a dynamic Cournot-type competition. The firms are able to reduce their marginal production costs by accumulating their own experience as well as the experience spillovers from other firms. In particular, firms accumulate production experience through proprietary learning, which, however, depreciates over time. We determine steady-state Nash equilibrium policies that are based on the assumption that the firms do not have precise information about each competitor and therefore are unable to respond to a specific firm’s dynamics. The firms, however, do react to overall industry trends. We show that in such a case, though the information used for production control is incomplete, in the long run the firms tend to the output they would converge to under complete information. We also find that industry growth due to more firms entering the market results in decreasing long-run equilibrium output of each firm when the depreciation of experience is higher than the rate of spillovers. Otherwise, the opposite result can emerge, i.e., the steady-state output will grow.
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Arrow, K.J.: The economic implications of learning by doing. Rev. Econ. Stud. 29(3), 155–173 (1962)
Cellini, R., Lambertini, L.: Dynamic R&D with spillovers: competition vs cooperation. J. Econ. Dyn. Control 33(3), 568–582 (2009)
Cohn, D., Tesauro, G.: How tight are the Vapnik-Chervonenkis bounds? Neural Comput. 4(2), 249–269 (1992)
Cournot, A.A.: Researches into the Mathematical Principles of the Theory of Wealth. Augustus M. Kelley Publishers, New York, 1971 (1838)
Dutton, J.M., Thomas, A.: Treating progress functions as a managerial opportunity. Acad. Manag. Rev. 9(2), 235–247 (1984)
Fudenberg, D., Tirole, J.: Learning by doing and market performance. Bell J. Econ. 14, 522–530 (1983)
Jarmin R.S.: Learning by doing and competition in the early rayon industry. CES, 93–4 (1993)
Jørgensen, S., Zaccour, G.: Optimal output strategies in a two-stage game with entry, learning-by-doing and spillovers. In: Petrosjan, A., Mazalov, V.V. (eds.) Game Theory and Applications. Nova Science Publishers, New York (2000)
Kogan, K., El Ouardighi, F., Herbon, A.: Production with learning and forgetting in a competitive environment. Int. J. Prod. Econ. (IJPE). 189, 52–62 (2017)
Miravete, E.J.: Time-consistent protection with learning by doing. Eur. Econ. Rev. 47(5), 761–790 (2003)
Schroeder, M.: Fractals, Chaos, Power Laws: minutes From An Infinite Paradise. Freeman, New York (1991)
Spence, A.M.: The learning curve and competition. Bell J. Econ. 12(Spring), 49–70 (1981)
Stokey, N.L.: The dynamics of industry-wide learning. In: Heller, W.P., Starr, R.M., Starrett, D.A. (eds.). Essays in Honor of Kenneth J. Arrow, vol. 2. Cambridge, Cambridge University Press
Yelle, L.E.: The learning curve: historical review and comprehensive survey. Decis. Sci. 10(2), 302–328 (1979)
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Kogan, K., El Ouardighi, F. (2018). Production Control in a Competitive Environment with Incomplete Information. In: Daniele, P., Scrimali, L. (eds) New Trends in Emerging Complex Real Life Problems. AIRO Springer Series, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-030-00473-6_35
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