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Piecewise R&D dynamics on costs

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Języki publikacji
EN
Abstrakty
EN
We consider an R&D cost reduction function in a Cournot competition model inspired by the logistic equation. We present the associated game and observe the existence of three different economical behaviors depending upon the firms’ decisions in terms of investments. We exhibit the boundaries of these investment regions.
Rocznik
Tom
Strony
29--42
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
autor
  • ESEIG - Instituto Politécnico do Porto LIAAD-INESC Porto LA Department of Mathematics and Research Center of Mathematics of the University of Minho, Portugal, migferreira2@gmail.com
Bibliografia
  • [1] Amir R., Evstigneev I., Wooders J., Noncooperative versus cooperative R&D with endogenous spillover rates, Core Discussion Paper 2001/50, Louvain-la-Neuve, Belgium.
  • [2] d’Aspremont C., Jacquemin A., Cooperative and noncooperative R&D in duopoly with spillovers, American Economic Review, 78(1988), 1133-1137. Erratum. In American Economic Review 80: 641:642.
  • [3] Brander J.A., Spencer B.J., Strategic commitment with R&D: the symmetric case, The Bell Journal of Economics, 14(1983), 225-235.
  • [4] Cournot A., Recherches sur les Principes Math´ematiques de la Théorie des Richesses, Paris, 1838.English edition:Researches into the Mathematical Principles of the Theory of Wealth, Edited by N. Bacon. New York: Macmillan, 1897.
  • [5] DeBondt R., Spillovers and innovative activities, International Journal of Industrial Organization, 15(1997), 1-28.
  • [6] Ferreira M., Oliveira B.M.P.M., Pinto A.A., Patents in new technologies, Journal of Difference equations and Applications, 15(2009), 1135-1149.
  • [7] Ferreira F.A., Ferreira F., Ferreira M., Pinto A.A., Quantity competition in a differentiated duopoly, Intelligent Engineering Systems and Computational Cybernetics, Springer Netherlands, Chapter 30, 2008.
  • [8] Kamien M., Muller E., Zang I., Research joint ventures and R&D cartels, American Economic Review, 82(1992), 1293-1306.
  • [9] Kamien M., Zang I., Competing research joint ventures, Journal of Economics and Management Strategy, 2(1993), 23-40.
  • [10] Katz M., An analysis of cooperative research and development, Rand Journal of Economics, 17(1986), 527-543.
  • [11] Pinto A.A., Game Theory and Duopoly Models, (Postgraduate and Research Level) Interdisciplinary Applied Mathematics, Springer-Verlag, 2008, 1-275.
  • [12] Pinto A.A., Oliveira B., Ferreira F.A., Ferreira M., Investing to survive in a duopoly model, Intelligent Engineering Systems and Computational Cybernetics, Springer Netherlands, Chapter 23, 2008.
  • [13] Tirole J., The Theory of Industrial Organization, MIT Press, MA, 1988.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0079
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