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R&d dynamics

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  • We study a Cournot duopoly model using Ferreira-Oliveira-Pinto's R&D investment function. We find the multiple perfect Nash equilibria and we analyse the economical relevant quantities like output levels, prices, consumer surplus, profits and welfare.
    Mathematics Subject Classification: 91A10, 91A40.

    Citation:

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  • [1]

    C. d'Aspremont and A. Jacquemin, Cooperative and noncooperative R$&$D in duopoly with spillovers, In "American Economic Review," 78 (1988), 1133-1137, (Erratum. In " American Economic Review," 80 641-642.

    [2]

    J. A. Brander and B. J. Spencer, Strategic commitment with R$&$D: The symmetric case, In "The Bell Journal of Economics," 14 (1983), 225-235.

    [3]

    A. Cournot, Recherches sur les Principes Mathématiques 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.

    [4]

    F. A. Ferreira, F. Ferreira, M. Ferreira and A. A. Pinto, "Quantity Competition in a Differentiated Duopoly. Intelligent Engineering Systems and Computational Cybernetics," Springer Netherlands, Chapter 30, 2008.

    [5]

    M. Ferreira, B. M. P. M. Oliveira and A. A. Pinto, Patents in new technologies, In "Journal of Difference equations and Applications," 15 (2009), 1135-1149.

    [6]

    M. Ferreira, I. F. Figueiredo, B. M. P. M. Oliveira and A. A. Pinto, Strategic optimization in R&D Investment, In "Optimization," (Accepted) 2011 .

    [7]

    M. Ferreira, B. M. P. M. Oliveira and A. A. Pinto, Piecewise R&D Dynamics on costs, In " Fasciculi Mathematici," 44 (2010), 29-42.

    [8]

    A. A. Pinto, B. Oliveira, F. A. Ferreira and M. Ferreira, "Investing to Survive in a Duopoly Model. Intelligent Engineering Systems and Computational Cybernetics," Springer Netherlands, Chapter 23, 2008.

    [9]

    L. Ruff,., Research and technological progress in a Cournot economy, In "Journal of Economic Theory," 1 (1969), 397-415.

    [10]

    J. Tirole, "The Theory of Industrial Organization," MIT Press, MA, 1988.

    [11]

    N. Singh and X. Vives, Price and quantity competition in a differentiated duopoly, In "RAND Journal of Economics," 15 (1984), 546-554.

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