Abstract
The step by step model of innovation is a benchmark model in research investigating the relationship between competition and innovation. The model assumes an industry can be in one of two states; leveled or unleveled. In an unleveled state the lagging firm is the only innovator. In a leveled state firms compete in a patent race. In this patent race successful innovation probabilities are mutually exclusive. This formulation provides mathematical tractability, but it has no other justification. I relax this assumption and use numerical simulation to demonstrate that allowing for non mutually exclusive success in innovation has important consequences for the inverted U relationship. The inverted U relationship is no longer a prediction of the model. In addition, the model predicts that patent measures will under count innovation from the leveled state, allowing for an inverted U relationship between competition and patenting under a narrow set of parameter restrictions. This theoretical exercise has important implications for understanding the current state of the empirical record on this topic.
References
Autor, D., D. Dorn, G. Hanson, G. Pisano, and P. Shu. 2019. “Foreign Competition and Domestic Innovation: Evidence from US Patents.” In NBER Working Paper 22879.10.1257/aeri.20180481Suche in Google Scholar
Aghion, P., U. Akcigit, and P. Howitt. 2015. “Lessons from Schumpeterian Growth Theory.” The American Economic Review 105 (5): 94–9. https://doi.org/10.1257/aer.p20151067.Suche in Google Scholar
Aghion, P., A. Bergeaud, G. Cette, R. Lecat, and H. Maghin. 2019. “Coase Lecture-The Inverted U Relationship between Credit Access and Productivity Growth.” Economica 86 (341): 1–31. https://doi.org/10.1111/ecca.12297.Suche in Google Scholar
Aghion, P., N. Bloom, R. Blundell, R. Griffith, and P. Howitt. 2005. “Competition and Innovation: An Inverted U Relationship.” Quarterly Journal of Economics 120: 701–28. https://doi.org/10.1162/0033553053970214.Suche in Google Scholar
Aghion, P., C. Harris, and J. Vickers. 1997. “Competition and Growth with Step by Step Innovation: An Example.” European Economic Review, Papers and Proceedings 41: 771–82. https://doi.org/10.1016/s0014-2921(97)00036-6.Suche in Google Scholar
Aghion, P., C. Harris, P. Howitt, and J. Vickers. 2001. “Competition Imitation and Growth with Step by Step Innovation.” The Review of Economic Studies LXVIII: 1795–843. https://doi.org/10.1111/1467-937x.00177.Suche in Google Scholar
Aghion, P., and P. Howitt. 1992. “A Model of Growth through Creative Destruction.” Econometrica 60: 323–51. https://doi.org/10.2307/2951599.Suche in Google Scholar
Arrow, K. 1962. “Economic Welfare and the Allocation of Resources for Inventions.” In The Rate and Direction of Inventive Activity, edited by R. Nelson. Princeton University Press.10.1515/9781400879762-024Suche in Google Scholar
Baldwin, W., J. Scott, J. Lesourne, and S. Sonnenschein. 1987. “Market Structure and Technological Change.” In Fundamentals of Pure and Applied Economics. Chur, Switzerland, and London: Harwood Academic Publishers.10.4324/9781315014708Suche in Google Scholar
Carlin, W., M. Schaffer, and P. Seabright. 2004. “A Minimum of Rivalry: Evidence from Transition Economies on the Importance of Competition for Innovation and Growth.” The B.E. Journal of Economic Analysis & Policy 3 (1): 1–45. https://doi.org/10.2202/1538-0645.1284.Suche in Google Scholar
Chernyshev, N. 2016. “Inverted U Relationship between R&D and Competition: Reconciling Theory and Evidence.” In Working Paper.Suche in Google Scholar
Correa, J. 2012. “Innovation and Competition: An Unstable Relationship.” Journal of Applied Econometrics 27: 160–6. https://doi.org/10.1002/jae.1262.Suche in Google Scholar
De Bondt, R., and J. Vandekerckhove. 2012. “Reflections on the Relationship between Competition and Inovation.” Journal of Industry, Competition and Trade 12: 19. https://doi.org/10.1007/s10842-010-0084-z.Suche in Google Scholar
Delbono, F., and L. Lambertini. 2020. “Innovation and Product Market Concentration: Schumpeter, Arrow, and the Inverted U-Shaped Curve.” In Oxford Economic Papers, gpaa044.10.1093/oep/gpaa044Suche in Google Scholar
Gilbert, R. 2006. “Looking for Mr. Schumpeter: Where Are We in the Competition-Innovation Debate?” Innovation Policy and the Economy, January 6: 159–215. https://doi.org/10.1086/ipe.6.25056183.Suche in Google Scholar
Gilbert, R., and D. Newbery. 1982. “Preemptive Patenting and the Persistence of Monopoly.” The American Economic Review 72: 514–26.Suche in Google Scholar
Grossman, G., and E. Helpman. 1991. Innovation and Growth in the World Economy. Cambridge: MIT Press.Suche in Google Scholar
Hashmi, A. 2013. “Competition and Innovation: The Inverted U Relationship Revisited.” The Review of Economics and Statistics 95 (5): 1653–68. https://doi.org/10.1162/rest_a_00364.Suche in Google Scholar
Marshall, G., and A. Parra. 2019. “Innovation and Competition: The Role of the Product Market.” International Journal of Industrial Organization 65: 221–47. https://doi.org/10.1016/j.ijindorg.2019.04.001.Suche in Google Scholar
Nickell, S. 1996. “Competition and Corporate Performance.” Journal of Political Economy 104: 724–46. https://doi.org/10.1086/262040.Suche in Google Scholar
Scott, J. 1984. “Firm vs. Industry Variability in R&D Intensity.” In R&D, Patents and Productivity, edited by Z. Griliches. University of Chicago Press.Suche in Google Scholar
Triole, J. 1988. The Theory of Industrial Organization. Cambridge: MIT Press.Suche in Google Scholar
Supplementary Material
The online version of this article offers supplementary material (https://doi.org/10.1515/bejte-2021-0112).
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Research Articles
- Duty to Read vs Duty to Disclose Fine Print. Does the Market Structure Matter?
- Cobb-Douglas Preferences and Pollution in a Bilateral Oligopoly Market
- Epsilon-Efficiency in a Dynamic Partnership with Adverse Selection and Moral Hazard
- Management Turnover, Strategic Ambiguity and Supply Incentives
- Uninformed Bidding in Sequential Auctions
- Arrowian Social Equilibrium: Indecisiveness, Influence and Rational Social Choices under Majority Rule
- Family Ties and Corruption
- Social Efficiency of Entry in a Vertical Structure with Third Degree Price Discrimination
- Insufficient Entry and Consumer Search
- Quality Competition and Market-Share Leadership in Network Industries
- The Effects of Introducing Advertising in Pay TV: A Model of Asymmetric Competition between Pay TV and Free TV
- Redistributive Unemployment Benefit and Taxation
- Constrained Persuasion with Private Information
- A Dynamic Graph Model of Strategy Learning for Predicting Human Behavior in Repeated Games
- Relative Income Concerns, Dismissal, and the Use of Pay-for-Performance
- Delegation in Vertical Relationships: The Role of Reciprocity
- Step by Step Innovation without Mutually Exclusive Patenting: Implications for the Inverted U
- Data and Competitive Markets: Some Notes on Competition, Concentration and Welfare
- Notes
- Optimality of a Linear Decision Rule in Discrete Time AK Model
- Equilibrium Pricing under Concave Advertising Costs
Artikel in diesem Heft
- Frontmatter
- Research Articles
- Duty to Read vs Duty to Disclose Fine Print. Does the Market Structure Matter?
- Cobb-Douglas Preferences and Pollution in a Bilateral Oligopoly Market
- Epsilon-Efficiency in a Dynamic Partnership with Adverse Selection and Moral Hazard
- Management Turnover, Strategic Ambiguity and Supply Incentives
- Uninformed Bidding in Sequential Auctions
- Arrowian Social Equilibrium: Indecisiveness, Influence and Rational Social Choices under Majority Rule
- Family Ties and Corruption
- Social Efficiency of Entry in a Vertical Structure with Third Degree Price Discrimination
- Insufficient Entry and Consumer Search
- Quality Competition and Market-Share Leadership in Network Industries
- The Effects of Introducing Advertising in Pay TV: A Model of Asymmetric Competition between Pay TV and Free TV
- Redistributive Unemployment Benefit and Taxation
- Constrained Persuasion with Private Information
- A Dynamic Graph Model of Strategy Learning for Predicting Human Behavior in Repeated Games
- Relative Income Concerns, Dismissal, and the Use of Pay-for-Performance
- Delegation in Vertical Relationships: The Role of Reciprocity
- Step by Step Innovation without Mutually Exclusive Patenting: Implications for the Inverted U
- Data and Competitive Markets: Some Notes on Competition, Concentration and Welfare
- Notes
- Optimality of a Linear Decision Rule in Discrete Time AK Model
- Equilibrium Pricing under Concave Advertising Costs