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The Lindahl equilibrium in Schumpeterian growth models

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  • Elie Gray

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  • André Grimaud

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Abstract

The main motivation of the paper is to determine the social value of innovations in a standard scale-invariant Schumpeterian growth model, which explicitly introduces knowledge diffusion over a Salop (Bell J Econ 10(1):141–156 1979 ) circle. The social value of an innovation is defined as the optimal value of the knowledge inherent in this innovation. We thus have to price optimally knowledge. For that purpose, contrary to what is done in standard growth theory, we complete the markets using Lindahl prices for knowledge. The Lindahl equilibrium, which provides the system of prices that sustains the first-best social optimum in an economy with non rival goods, appears as a benchmark. First, its comparison with the standard Schumpeterian equilibrium à la Aghion and Howitt (Econometrica (60)2:323–351 1992 ) enables us to shed a new light on the issue of non-optimality of the latter. Second, the Lindahl equilibrium also allows us to revisit the issue of R&D incentives in presence of cumulative innovations. Finally, this benchmark may be a first step to understand how knowledge is exchanged in new technology sectors. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • Elie Gray & André Grimaud, 2016. "The Lindahl equilibrium in Schumpeterian growth models," Journal of Evolutionary Economics, Springer, vol. 26(1), pages 101-142, March.
  • Handle: RePEc:spr:joevec:v:26:y:2016:i:1:p:101-142
    DOI: 10.1007/s00191-015-0417-5
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    1. Philippe Aghion & Diego Comin & Peter Howitt & Isabel Tecu, 2016. "When Does Domestic Savings Matter for Economic Growth?," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(3), pages 381-407, August.
    2. Benassy, Jean-Pascal, 1998. "Is there always too little research in endogenous growth with expanding product variety?," European Economic Review, Elsevier, vol. 42(1), pages 61-69, January.
    3. Étienne Chantrel & Andre Grimaud & Frederic Tournemaine, 2012. "Pricing Knowledge and Funding Research of New Technology Sectors in a Growth Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(3), pages 493-520, June.
    4. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, September.
    5. Sener, Fuat, 2008. "R&D policies, endogenous growth and scale effects," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3895-3916, December.
    6. Cozzi, Guido & Giordani, Paolo E. & Zamparelli, Luca, 2007. "The refoundation of the symmetric equilibrium in Schumpeterian growth models," Journal of Economic Theory, Elsevier, vol. 136(1), pages 788-797, September.
    7. Peretto, Pietro F., 2007. "Corporate taxes, growth and welfare in a Schumpeterian economy," Journal of Economic Theory, Elsevier, vol. 137(1), pages 353-382, November.
    8. Jerry R. Green & Suzanne Scotchmer, 1995. "On the Division of Profit in Sequential Innovation," RAND Journal of Economics, The RAND Corporation, vol. 26(1), pages 20-33, Spring.
    9. Pietro Peretto & Sjak Smulders, 2002. "Technological Distance, Growth And Scale Effects," Economic Journal, Royal Economic Society, vol. 112(481), pages 603-624, July.
    10. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    11. Charles I. Jones, 1999. "Growth: With or Without Scale Effects?," American Economic Review, American Economic Association, vol. 89(2), pages 139-144, May.
    12. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    13. Jones, Charles I & Williams, John C, 2000. "Too Much of a Good Thing? The Economics of Investment in R&D," Journal of Economic Growth, Springer, vol. 5(1), pages 65-85, March.
    14. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 43-61.
    15. Garner, Phillip, 2010. "A note on endogenous growth and scale effects," Economics Letters, Elsevier, vol. 106(2), pages 98-100, February.
    16. Christopher Laincz & Pietro Peretto, 2006. "Scale effects in endogenous growth theory: an error of aggregation not specification," Journal of Economic Growth, Springer, vol. 11(3), pages 263-288, September.
    17. Chu, Angus C. & Cozzi, Guido & Galli, Silvia, 2012. "Does intellectual monopoly stimulate or stifle innovation?," European Economic Review, Elsevier, vol. 56(4), pages 727-746.
    18. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    19. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    20. Manning, Richard & Markusen, James R & McMillan, John, 1985. "Paying for Public Inputs," American Economic Review, American Economic Association, vol. 75(1), pages 235-238, March.
    21. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    22. Peretto, Pietro F, 1998. "Technological Change and Population Growth," Journal of Economic Growth, Springer, vol. 3(4), pages 283-311, December.
    23. Peretto, Pietro F., 1999. "Cost reduction, entry, and the interdependence of market structure and economic growth," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 173-195, February.
    24. Daron Acemoglu & Ufuk Akcigit, 2012. "Intellectual Property Rights Policy, Competition And Innovation," Journal of the European Economic Association, European Economic Association, vol. 10(1), pages 1-42, February.
    25. Alvarez-Pelaez, Maria J. & Groth, Christian, 2005. "Too little or too much R&D?," European Economic Review, Elsevier, vol. 49(2), pages 437-456, February.
    26. Philippe Aghion & Peter Howitt, 2009. "The Economics of Growth," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012634, September.
    27. Joonkyung Ha & Peter Howitt, 2007. "Accounting for Trends in Productivity and R&D: A Schumpeterian Critique of Semi-Endogenous Growth Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 733-774, June.
    28. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
    29. Robert J. Barro & Xavier Sala-i-Martin, 2003. "Economic Growth, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262025531, September.
    30. -, 2009. "Economic growth in the Caribbean," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 38668, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    31. Li, Chol-Won, 2002. "Growth and scale effects: the role of knowledge spillovers," Economics Letters, Elsevier, vol. 74(2), pages 177-185, January.
    32. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    33. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    34. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    35. Segerstrom, Paul S, 2000. "The Long-Run Growth Effects of R&D Subsidies," Journal of Economic Growth, Springer, vol. 5(3), pages 277-305, September.
    36. James Bessen & Eric Maskin, 2009. "Sequential innovation, patents, and imitation," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 611-635, December.
    37. Chol-Won Li, 2003. "Endogenous Growth Without Scale Effects: Comment," American Economic Review, American Economic Association, vol. 93(3), pages 1009-1017, June.
    38. Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
    39. Chari, V V & Hopenhayn, Hugo, 1991. "Vintage Human Capital, Growth, and the Diffusion of New Technology," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1142-1165, December.
    40. Dinopoulos, Elias & Thompson, Peter, 1998. "Schumpeterian Growth without Scale Effects," Journal of Economic Growth, Springer, vol. 3(4), pages 313-335, December.
    41. Suzanne Scotchmer, 1991. "Standing on the Shoulders of Giants: Cumulative Research and the Patent Law," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 29-41, Winter.
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    Cited by:

    1. Elie Gray & André Grimaud, 2016. "Using the Salop Circle to Study Scale Effects in Schumpeterian Growth Models: Why Inter-sectoral Knowledge Diffusion Matters," CESifo Working Paper Series 6021, CESifo.
    2. Gray, Elie & Grimaud, André, 2016. "Using the Salop Circle to Study Scale Effects in Schumpeterian Growth Models: Why Inter-sectoral Knowledge Diffusion Matters," TSE Working Papers 16-676, Toulouse School of Economics (TSE).

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    More about this item

    Keywords

    Schumpeterian growth theory; Lindahl equilibrium; Social value of innovations; Pareto non-optimality; Cumulative innovations; Knowledge spillovers; D52; O31; O33; O40; O41;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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