Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-13T03:40:26.606Z Has data issue: false hasContentIssue false

OPTIMAL R&D SUBSIDIES WITH HETEROGENEOUS FIRMS IN A DYNAMIC SETTING

Published online by Cambridge University Press:  16 July 2019

Joshua D. Hall*
Affiliation:
Florida Southern College
Christopher A. Laincz
Affiliation:
Drexel University
*
Address correspondence to: Joshua D. Hall, Florida Southern College, 111 Lake Hollingsworth Drive, Lakeland, FL 33801, USA. e-mail: jhall2@flsouthern.edu. Phone: 863-680-3010.

Abstract

When observably heterogeneous firms engage in R&D and policy can be conditioned on the heterogeneity, what is the optimal policy? This paper starts with a static duopoly model of R&D competition with uncertainty and finds it welfare enhancing to subsidize the larger firms with no subsidies for the smaller firm, extending existing results. This result follows because the policymaker’s goal is to minimize the average cost of production. Our paper demonstrates that these results are not robust to a dynamic setting. The optimal policy depends on the equilibrium type of competition that emerges without intervention—an insight that cannot be found in a static setting. In a dynamic setting, the degree of competition becomes an endogenous variable. Interestingly, although the optimal policy in some cases provides a slightly larger subsidy for the larger firm, it is the smaller firm that benefits most in terms of firm value.

Type
Articles
Copyright
© Cambridge University Press 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

The authors would like to thank Andrew Gellert, Adeliada Mehmetaj, and Lien Ta for their excellent research assistance.

References

Acemoglu, Darren and Akcigit, Ufuk (2012) Intellectual property rights policy, competition and innovation. Journal of the European Economic Association 10(1), 142.CrossRefGoogle Scholar
Aghion, Philippe and Howitt, Peter (1992) A model of growth through creative destruction. Econometrica 60(2), 323351.CrossRefGoogle Scholar
Aghion, Philippe, Harris, Christopher, Howitt, Peter and Vickers, John (2001) Competition, imitation and growth with step-by-step innovation. Review of Economic Studies (68), 467492.CrossRefGoogle Scholar
Brander, James A. and Barbara, J. Spencer (1983) Strategic commitment with R&D: The symmetric case. The Bell Journal of Economics 14(1), 225235.CrossRefGoogle Scholar
Budd, Christopher, Harris, Christopher and Vickers, John (1993) A model of the evolution of duopoly: Does the asymmetry between firms tend to increase or decrease? Review of Economic Studies 60(3), 543573.CrossRefGoogle Scholar
Cohen, Wesley M. and Daniel, A. Levinthal (1989) Innovating and learning: The two faces of R&D. Economic Journal 99(397), 569596.CrossRefGoogle Scholar
Dasgupta, Partha and Joseph, E. Stiglitz (1980) Industrial structure and the nature of innovative activity. Economic Journal 90(358), 266293.CrossRefGoogle Scholar
D’Aspremont, Claude and Jacquemin, Alexis (1988) Cooperative and noncooperative R&D in duopoly with spillovers. American Economic Review 78(5), 11331137.Google Scholar
Davis, Colin and Hashimoto, Ken-ichi (2015) R&D subsidies, international knowledge diffusion and fully endogenous productivity growth. Macroeconomic Dynamics 19(8), 18161838.CrossRefGoogle Scholar
Doraszelski, Ulrich and Satterthwaite, Mark (2010) Computable Markov-perfect industry dynamics. RAND Journal of Economics 41(2), 215243.CrossRefGoogle Scholar
Ericson, Richard and Pakes, Ariel (1995) Markov-perfect industry dynamics: A framework for empirical work. Review of Economic Studies 62(1), 5382.CrossRefGoogle Scholar
Gilbert, Richard J. and Daniel, M.G. Newberry (1982) Preemptive patenting and the persistence of monopoly. American Economic Review 72(3), 514526.Google Scholar
Griliches, Zvi (1998) R&D and Productivity: The Econometric Evidence. Chicago, IL: University of Chicago Press.CrossRefGoogle Scholar
Hinloopen, Jeroen (1997) Subsidizing cooperative and noncooperative R&D in duopoly with spillovers. Journal of Economics 66(2), 151175.CrossRefGoogle Scholar
Hinloopen, Jeroen (2000) More on subsidizing cooperative and noncooperative R&D in duopoly with spillovers. Journal of Economics 72(3), 295308.CrossRefGoogle Scholar
Hinloopen, Jeroen, Smrkolj, Grega and Wagener, Florian (2013) From mind to market: A global, dynamic analysis of R&D. Journal of Economic Dynamics and Control 37(12), 27292754.Google Scholar
Kitahara, Minoru and Matsumura, Toshihiro (2006) Realized cost-based subsidies for strategic R&D investments with ex ante and ex post asymmetries. The Japanese Economic Review 57(3), 438448.CrossRefGoogle Scholar
Kovac, Eugen and Zigic, Kresimir (2016) Persistence of monopoly, innovation, and R&D spillovers. Research in Economics 70(4), 714734.CrossRefGoogle Scholar
Lahiri, Sajal and Ono, Yoshiyasu (1988) Helping minor firms reduces welfare. The Economic Journal 98(393), 11991202.CrossRefGoogle Scholar
Lahiri, Sajal and Ono, Yoshiyasu (1999) R&D subsidies under asymmetric duopoly: A note. The Japanese Economic Review 50(1), 104111.CrossRefGoogle Scholar
Laincz, Christopher A. (2005) Market structure and endogenous productivity growth: How does R&D policy affect market structure? Journal of Economic Dynamics and Control 29(1–2), 187223.CrossRefGoogle Scholar
Laincz, Christopher A. (2009) R&D subsidies in a model of growth with dynamic market structure. Journal of Evolutionary Economics 19(5), 643673.CrossRefGoogle Scholar
Laincz, Christopher A. and Rodrigues, Ana (2016) The Impact of Cost-Reducing R&D Spillovers on the Ergodic Distribution of Market Structures. Working Paper.Google Scholar
Levin, Richard C. and Peter, C. Reiss (1988) Cost-reducing and demand-creating R&D with spillovers. RAND Journal of Economics 19(4), 538556.CrossRefGoogle Scholar
Pakes, Ariel and McGuire, Paul (1994) Computing Markov-perfect Nash equilibria: Numerical implications of a dynamic differentiated product model. RAND Journal of Economics 25(4), 555589.Google Scholar
Peretto, Pietro F. (1999) Cost reduction, entry, and the interdependence of market structure and economic growth. Journal of Monetary Economics 43(1), 173195.CrossRefGoogle Scholar
Segerstrom, Paul S. (2007) Intel economics. International Economic Review 48(1), 247280.CrossRefGoogle Scholar
Song, Minjae (2006) Cooperative R&D Between Heterogeneous Firms. Working Paper.Google Scholar
Song, Minjae (2011) A dynamic analysis of cooperative research in the semiconductor industry. International Economic Review 48(4), 11571177.CrossRefGoogle Scholar
Spence, Michael (1984) Cost reduction, competition, and industry performance. Econometrica 51(1), 101122.CrossRefGoogle Scholar