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Dynamics and Welfare in Recombinant Growth Models with Intellectual Property Rights: a Computational Method

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We consider the extended continuous time endogenous recombinant growth model with a basic IPRs system introduced by Marchese et al. (2014). In order to analyze the effect on social welfare of different IPRs policy regimes, we must carefully study the transition dynamics associated to different values of the IPRs policy parameter. To this aim, we exploit the computational method recently developed by Privileggi (2011, 2013), based on Projection methods, Gauss-Chebyshev and Gauss-Legendre quadrature, along with standard Runge-Kutta type algorithms, to approximate such transitional dynamic paths and perform Skiba-point analysis. Our simulations show that softer IPRs policy regimes generate higher welfare levels.

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  • Privileggi, Fabio & Marsiglio, Simone, 2014. "Dynamics and Welfare in Recombinant Growth Models with Intellectual Property Rights: a Computational Method," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201414, University of Turin.
    • Handle: RePEc:uto:dipeco:201414
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    2. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
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    6. Privileggi, Fabio, 2015. "Takeoff vs. stagnation in endogenous recombinant growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 184-214.
    7. Martin L. Weitzman, 1998. "Recombinant Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(2), pages 331-360.
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    9. Privileggi, Fabio, 2008. "On the transition dynamics in endogenous recombinant growth models," POLIS Working Papers 120, Institute of Public Policy and Public Choice - POLIS.
    10. Fabio Privileggi, 2011. "Transition Dynamics in Endogenous Recombinant Growth Models by Means of Projection Methods," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 367-387, October.
    11. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni, 2014. "Endogenous Recombinant Growth through Market Production of Knowledge and Intellectual Property Rights," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201413, University of Turin.
    12. repec:uto:dipeco:201338 is not listed on IDEAS
    13. Halkin, Hubert, 1974. "Necessary Conditions for Optimal Control Problems with Infinite Horizons," Econometrica, Econometric Society, vol. 42(2), pages 267-272, March.
    14. Casey B. Mulligan & Xavier Sala-i-Martin, 1991. "A Note on the Time-Elimination Method For Solving Recursive Dynamic Economic Models," NBER Technical Working Papers 0116, National Bureau of Economic Research, Inc.
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    1. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni B., 2019. "Endogenous Recombinant Growth And Intellectual Property Rights," Macroeconomic Dynamics, Cambridge University Press, vol. 23(5), pages 2035-2067, July.
    2. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni, 2014. "Endogenous Recombinant Growth through Market Production of Knowledge and Intellectual Property Rights," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201413, University of Turin.

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