Modelos matemáticos y políticas de patentes.

Una revisión sistemática de la literatura reciente (2012-2022)

Authors

DOI:

https://doi.org/10.24310/recta.26.1.2025.20797

Keywords:

innovation, intellectual property rights, patent policy, optimization

Abstract

The aim of this work is to present a systematic review of recent literature on optimal patent policy ―understood as the simultaneous choice of patent length (duration) and breadth (scope)― within the framework of mathematical models representing the behaviour of an economic system or a sector of it. The search, conducted in the Scopus repository, revealed that during the period considered (2012-2022) only eight articles analyse both the length and breadth of patents within the framework of a mathematical model, none of which analyse the optimal length and breadth for complementary patents or innovations. It was also found that there is no consensus in the literature on the advisability of implementing a system of infinite length or maximum breadth patents

Downloads

Download data is not yet available.

Publication Facts

Metric
This article
Other articles
Peer reviewers 
2
2.4

Reviewer profiles  N/A

Author statements

Author statements
This article
Other articles
Data availability 
N/A
16%
External funding 
N/A
32%
Competing interests 
N/A
11%
Metric
This journal
Other journals
Articles accepted 
4%
33%
Days to publication 
187
145

Indexed in

Editor & editorial board
profiles
Academic society 
N/A
Publisher 
UMA Editorial. Universidad de Málaga

References

Arrow, K. (1962). Economic Welfare and the Allocation of Resources for Invention. En R. Nelson (Ed.), The Rate and Direction of Inventive Activity: Economic and Social Factors (pp. 609-626). Princeton University Press. https://doi.org/10.1515/9781400879762-024

Bagchi, A., & Mukherjee, A. (2021). Patents Versus Rewards: The Implications of Production Inefficiency. German Economic Review, 22 (2), 215-234. https://doi.org/10.1515/ger-2019-0092

Bagchi, A., & Roy, A. (2012). Endogenous Research and Development and Intellectual Property Laws in Developed and Emerging Economies. Southern Economic Journal, 78 (3), 895-930. https://doi.org/10.4284/0038-4038-78.3.895

Beeby-Lewis, T. (1996). Patent Protection for the Pharmaceutical Industry: A Survey of the Patent Laws of Various Countries. The International Lawyer, 30 (4), 835-865. https://www.jstor.org/stable/ 40707285

Bergin, J. (2022). Patent Licensing, Non-Practising Entities, and Investment in R&D. The Journal of Industrial Economics, 70 (2), 396-462. https://doi.org/10.1111/joie.12289

Bessen, J., & Maskin, E. (2009). Sequential Innovation, Patents, and Imitation. The RAND Journal of Economics, 40 (4), 611-635. https://doi.org/10.1111/j.1756-2171.2009.00081.x

Çevikarslan, S. (2017). Optimal Patent Length and Breadth in an R&D Driven Market with Evolving Consumer Preferences: An Evolutionary Multi-Agent Based Modeling Approach. Technologial Forecasting and Social Change, 118, 94-106. https://doi.org/10.1016/j.techfore.2017.02.005

Chen, J., Liu, J., Long, Y., & Luo, J. (2019). Medicine Pricing, Optimal Patent Length and Social Welfare. Revista de Cercetare si Interventie Sociala, 67, 205-222. https://doi.org/10.33788/rcis.67.13

Chu, A. (2022). Patent policy and economic growth: A survey. The Manchester School, 90, 237-254. https://doi.org/10.1111/manc.12392

https://doi.org/10.1111/manc.12392

Clancy, M., & Moschini, G. (2013). Incentives for Innovation: Patents, Prizes, and Research Contracts. Applied Economic Perspectives and Policy, 35 (2), 206-241. https://doi.org/10.1093/aepp/ppt012

David, P., & Olsen, T. (1992). Technology adoption, learning spillovers, and the optimal duration of patent-based monopolies. International Journal of Industrial Organization, 10 (4), 517-543. https://doi.org/10. 1016/0167-7187(92)90058-7

Denicolò, V. (1996). Patent Races and Optimal Patent Breadth and Length. Journal of Industrial Economics, 44 (3), 249-266. https://doi.org/10.2307/2950496

Denicolò, V., & Zanchettin, P. (2022). Patent Protection for Complex Technologies. International Journal of Industrial Organization, 81, 1-20. https://doi.org/10.1016/j.ijindorg.2021.102811

Eckert, A., & Langinier, C. (2013). A survey of the economics of patent systems and procedures. Journal of Economic Surveys, 28 (5), 775-1027. https://doi.org/10.1111/joes.12034

Encaoua, D., Guellec, D., & Martínez, C. (2006). Patent systems for encouraging innovation: Lessons from economic analysis. Research Policy, 35 (9), 1423-1440. https://doi.org/10.1016/j.respol.2006.07.004

https://doi.org/10.1016/j.respol.2006.07.004

Eswaran, M., & Gallini, N. (2019). Can Competition and Patent Policies Avert the Antibiotic Crisis? Canadian Public Policy, 45 (1), 74-92. https://doi.org/10.3138/cpp.2018-021

Galasso, A., Mitchell, M., & Virag, G. (2016). Market Outcomes and Dynamic Patent Buyouts. International Journal of Industrial Organization, 48, 207-243. https://doi.org/10.1016/j.ijindorg.2016. 06.007

Gallini, N. (1992). Patent Policy and Costly Imitation. The RAND Journal of Economics, 23 (1), 52-63. https://doi.org/10.2307/2555432

https://doi.org/10.2307/2555432

Gilbert, R., & Shapiro, C. (1990). Optimal Patent Length and Breadth. The RAND Journal of Economics, 21 (1), 106-112. https://doi.org/10.2307/2555497

Hall, B., & Harhoff, D. (2012). Recent Research on the Economics of Patents. Annual Review of Economics, 4, 541-565. https://doi.org/10.1146/annurev-economics-080511-111008

https://doi.org/10.1146/annurev-economics-080511-111008

Heller, M., & Eisenberg, R. (1998). Can Patents Deter Innovation? The Anticommons in Biomedical Research. Science, 280 (5364), 698-701. https://doi.org/10.1126/science.280.5364.698

Khazabi, M., & van Quyen, N. (2017). The Search for New Drugs: A Theory of R&D in the Pharmaceutical Industry. Journal of Economic Studies, 44 (5), 690-726. https://doi.org/10. 1108/JES-01-2016-0002

https://doi.org/10.1108/JES-01-2016-0002

Klemperer, P. (1990). How Broad Should the Scope of Patent Protection Be? The RAND Journal of Economics, 21 (1), 113-130. https://doi.org/10.2307/2555498

Langinier, C., & Moschini, G. (2002). The Economics of Patents: An Overview (Working Paper N.o 02-WP 293). Center for Agricultural and Rural Development, Iowa State University. Ames, IA. https://dr.lib.iastate.edu/handle/20.500.12876/12671

Matutes, C., Regibeau, P., & Rockett, K. (1996). Optimal Patent Design and the Diffusion of Innovations. The RAND Journal of Economics, 27 (1), 60-83. https://doi.org/10.2307/ 2555792

Meng, S. (2019). A New Design for the Patent System. Journal of the Knowledge Economy, 10 (3), 1204-1229. https://doi.org/10.1007/s13132-018-0530-4

Meng, S. (2017). Optimal Patent Protection: A Macroeconomic Perspective. Asian Journal of Law and Economics, 8 (2), 1-16. https://doi.org/10.1515/ajle-2016-0021

Moher, D., Liberati, A., Tetzlaff, J., & Altman, D. G. (2009). Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement. BMJ, 339 (7716), b2535. https://doi.org/10.1136/ bmj.b2535

Neves, P., Afonso, O., Silva, D., & Sochirca, E. (2021). The Link between Intellectual Property Rights, Innovation, and Growth: A Meta-analysis. Economic Modelling, 97, 196-209. https://doi.org/10.1016/j. econmod.2021.01.019

Nordhaus, W. (1967). The Optimal Life of a Patent (Discussion Paper N.° 241). Cowles Foundation for Research in Economics at Yale University. New Haven, CT. https://elischolar.library. yale.edu/cowles-discussion-paper-s%20eries/474

Nordhaus, W. (1969). Invention, Growth and Welfare: A Theoretical Treatment of Technological Change. The MIT Press

Novelli, E. (2015). An Examination of the Antecedents and Implications of Patent Scope. Research Policy, 44 (2), 493-507. https://doi.org/10.1016/j.respol.2014.09.005

O'Donoghue, T. (1998). A Patentability Requirement for Sequential Innovation. The RAND Journal of Economics, 29 (4), 654-679. https://doi.org/10.2307/2556088

O'Donoghue, T., Scotchmer, S., & Thisse, J.-F. (1998). Patent Breadth, Patent Life and the Pace of Technological Progress. Journal of Economics and Management Strategy, 7 (1), 1-32. https://doi.org/ 10.1111/j.1430-9134.1998.00001.x

Organización Mundial de la Propiedad Intelectual. (2022, 8 de junio). Patentes. https://www.wipo. int/patents/es/

Parra, A. (2019). Sequential Innovation, Patent Policy, and the Dynamics of the Replacement Effect. The RAND Journal of Economics, 50 (3), 568-590. https://doi.org/10.1111/1756-2171.12287

Reinganum, J. (1989). The Timing of Innovation: Research, Development and Diffusion. En R. Schmalensee & R. Willig (Eds.), Handbook of Industrial Organization (pp. 849-908, Vol. 1). North-Holland.

https://doi.org/10.1016/S1573-448X(89)01017-4

Rietzke, D., & Chen, Y. (2020). Push or Pull? Performance-pay, Incentives, and Information. The RAND Journal of Economics, 51 (1), 301-317. https://doi.org/10.1111/1756-2171.12314

Rockett, K. (2010). Property Rights and Invention. En B. H. Hall & N. Rosenberg (Eds.), Handbook of the Economics of Innovation (pp. 315-380, Vol. 1). North-Holland. https://doi.org/10.1016/S0169-7218 (10)01007-5

Scherer, F. M. (2000). The Pharmaceutical Industry. En A. Culyer & J. Newhouse (Eds.), Handbook of Health Economics (pp. 1297-1336, Vol. 1B). North-Holland. https://doi.org/10.1016/S1574-0064(00) 80038-4

Scotchmer, S. (1991). Standing on the Shoulders of Giants: Cumulative Research and the Patent Law. Journal of Economic Perspectives, 5 (1), 29-41. https://doi.org/10.1257/jep.5.1.29

https://doi.org/10.1257/jep.5.1.29

Scotchmer, S. (2004). Innovation and Incentives. The MIT Press.

Spulber, D. (2013). Innovation Economics: The Interplay among Technology Standards, Competitive Conduct, and Economic Performance. Journal of Competition Law and Economics, 9 (4), 777-825. https://doi.org/10.1093/joclec/nht041

Spulber, D. (2021). The Case for Patents. World Scientific Publishing. https://doi.org/10.1142/11976

Takalo, T. (2001). On the optimal patent policy. Finnish Economic Papers, 14 (1), 33-40.

van Dijk, T. (1994). The Economic Theory of Patents: A Survey (Research Memorandum N.o 2/94- 017). MERIT, University of Limburg. Maastricht. https://collections.unu.edu/view/UNU:998

Volpert, T., & Riepe, M. (2021). Patentdimensionen und die Entwicklung und Herstellung von Corona-Impfstoffen. Wirtschaftsdienst, 101 (5), 387-393. https://doi.org/10.1007/s10273-021-2923-4

Weyl, E., & Tirole, J. (2012). Market Power Screens Willingness-to-Pay. Quarterly Journal of Economics, 127 (4), 1971-2003. https://doi.org/10.1093/qje/qjs032

Wright, B. (1983). The Economics of Invention Incentives: Patents, Prizes and Research Contracts. American Economic Review, 73 (4), 691-707. https://www.jstor.org/stable/1816567

Yang, Y. (2018). On the Optimality of IPR Protection with Blocking Patents. Review of Economic Dynamics, 27, 205-230. https://doi.org/10.1016/j.red.2017.07.002

Zeng, J., Zhang, J., & Fung, M. (2014). Patent Length and Price Regulation in an R&D Growth Model with Monopolistic Competition. Macroeconomic Dynamics, 18 (1), 1-22. https://doi.org/10.1017/S1365100 513000254

Published

2025-05-12

How to Cite

Meller, L. (2025). Modelos matemáticos y políticas de patentes. : Una revisión sistemática de la literatura reciente (2012-2022) . Revista Electrónica De Comunicaciones Y Trabajos De ASEPUMA, 26(1), 59–78. https://doi.org/10.24310/recta.26.1.2025.20797