Abstract
The conventional wisdom is that the formation of patent pools is welfare enhancing when patents are complementary, since the pool avoids a double-marginalization problem associated with independent licensing. This conventional wisdom relies on the effects that pooling has on downstream prices. However, it does not account for the potentially significant role of the effect of pooling on downstream product development and commercialization. We consider development technologies that entail spillovers between rivals and assume that final-demand products are imperfect substitutes. When pool formation facilitates information sharing and spillovers in development, then decreases in the degree of product differentiation can adversely affect welfare by reducing the incentives towards product development and product market competition – even with perfectly complementary patents. The analysis modifies and even negates the conventional wisdom for some settings and suggests why patent pools are uncommon in science-based industries such as biotech and pharmaceuticals that are characterized by tacit knowledge and incomplete patents.
Appendix A: Derivations
The Bertrand-Nash equilibrium of this game yields:

which implies

Note also that

So, from eqs (27) and (28) one obtains profit of

Substituting the equilibrium effort level (eq. 5) into the firm’s payoff (eq. 4) yields

To derive consumer surplus in the market, we use the representative consumer’s preferences that underlie the demand structure (see Singh and Vives 1984). For the symmetric equilibrium, this reduces to

Substituting eq. (5) into eq. (2) gives

Further substitution into eq. (26) yields

Using eqs (32) and (33) results in

Consumer surplus is gross utility minus expenditures, i.e. , so, using eqs (31)–(34),

Appendix B: Proofs
Proof of Lemma 1 Equilibrium effort is given by eq. (5). After taking the derivative, dropping the denominator and consolidating it follows that carries the same sign as

Setting this equal to zero and solving for yields







The first factor can be written as

which is clearly positive. Setting the second factor equal to zero and solving for yields
and the derivative properties follow.
Proof of Proposition 2 Taking the derivatives of eqs (11) and (10) with respect to reveals that the sign is determined by the sign of
, hence
.
Proof of Proposition 3 It can be shown that carries the same sign as

Setting this equal to zero gives an implicit equation that can be solved for to yield


where






Note that whenever
.
Proof of Lemma 3 Equilibrium effort is given by eq. (5). After taking the derivative, dropping the denominator and consolidating it follows that carries the same sign as

Both factors are obviously positive so that the negative of their product is negative, which is also sufficient to prove the second statement.
Proof of Proposition 4 Applying the quotient rule in taking the derivative of eq. (9) with respect to , it follows after some simplification that
carries the same sign as


Of the three factors it is straightforward to show that the first is negative and the third is positive. The middle factor is shown to be positive in the proof to Proposition 1, from which it follows that .
Proof of Proposition 5 We undertake the same steps as in the proof to Proposition 2, but now take derivatives with respect to . From this it follows that
has the same sign as

Setting this equal to 0 and solving for yields

Similarly one derives that has the same sign as



Of the three factors it is straightforward to show that the first is negative, and in the proof to Proposition 1 it is shown that the second is positive. Setting the third factor equal to zero and solving for yields








Setting gives an implicit equation that can be solved for
to yield



where






Then whenever
.
Proof of Theorem 1 For given product differentiation and spillovers in development, the pooling of patents eliminates double marginalization and increases welfare. Therefore a necessary condition for overall welfare to nonetheless decrease is that spillover effects and differentiation effects must be on net negative, which is only the case when pooling is undesirable without double marginalization.
Proof of Theorem 2 Setting (i.e. the bounds under which the second-order conditions hold) and
Mathematica’s FindInstance[
] shows that no such instance exists on the given domain. Since consumer surplus is concave, it then follows that the theorem holds for the entire domain.
Part of this research was completed while Jeitschko was working at the Antitrust Division of the US Department of Justice. The views expressed in this paper, however, are those of the authors and are not purported to reflect the views of the US Department of Justice.
Acknowledgements
We thank Jay Choi, Tony Creane, Patrick Greenlee, Erik Hovenkamp, Sue Majewski, Nate Miller, Alex Raskovich, Ruth Raubitschek, Markus Reisinger, Carl Shapiro, Xianwen Shi, Bruno Versaevel, Greg Werden and Junjie Zhou, as well as seminar participants at the National University of Ireland, Maynooth, the Antitrust Division of the US Department of Justice, the University of Kentucky, and conference participants at the IIOC, the FTC Microeconomics Conference, and the Conference on Entrepreneurship and Innovation: US Patent and Trademark Office Ewing Marion Kauffman Foundation Conference on Intellectual Property and Innovation at the Searle Center at Northwestern University Law School. The paper has benefited considerably from comments by an anonymous referee.
References
Amir, R., I.Evstigneev, and J.Wooders. 2003. “Noncooperative versus Cooperative R&D with Endogenous Spillover Rates.” Games and Economic Behavior42(2):183–207.10.1016/S0899-8256(02)00541-9Search in Google Scholar
Boldrin, M., and D. K.Levine. 2009. Against Intellectual Monopoly. New York, NY: Cambridge University Press.10.1017/CBO9780511510854Search in Google Scholar
Bourreau, M., and P.Doğan. 2010. “Cooperation in Product Development and Process R&D between Competitors.” International Journal of Industrial Organization28:176–90.10.1016/j.ijindorg.2009.07.010Search in Google Scholar
Clark, J., J.Piccolo, B.Stanton, K.Tyson, M.Critharis, and S.Kunin. 2000. “Patent Pools: A Solution to the Problem of Access in Biotechnology Patents?” United States Patent and Trademark Office.Search in Google Scholar
Cournot, A. A. 1838. “Recherches Sur Les Principes Mathématiques De La Théorie Des Richesses.”Search in Google Scholar
Dequiedt, V., and B.Versaevel. 2013. “Patent Pools and Dynamic R&D Incentives.” International Review of Law and Economics36:59–69.10.1016/j.irle.2013.04.009Search in Google Scholar
Erkal, N., and D.Minehart. 2014. “Optimal Technology Sharing Strategies in Dynamic Games of R&D.” Journal of Economics and Management Strategy23(1):149–177.10.1111/jems.12042Search in Google Scholar
Gaulé, P. 2006. “Towards Patent Pools in Biotechnology?” Innovation Strategy Today2(2):123–43.10.2139/ssrn.1427751Search in Google Scholar
Ghosh, A., and H.Morita. 2012. “Competitor Collaboration and Product Distinctiveness.” International Journal of Industrial Organization30(2):137–52.10.1016/j.ijindorg.2011.07.003Search in Google Scholar
Gilbert, R. J. 2004. “Antitrust for Patent Pools: A Century of Policy Evolution.” Stanford Technology Law Review3.Search in Google Scholar
Greenlee, P. 2005. “Endogenous Formation of Competitive Research Sharing Joint Ventures.” Journal of Industrial Economics53(3):355–91.10.1111/j.1467-6427.2005.00259.xSearch in Google Scholar
Heller, M. A., and R. S.Eisenberg. 1998. “Can Patents Deter Innovation? The Anticommons in Biomedical Research.” Science280(5364):698–701. http://www.sciencemag.org/cgi/content/full/280/5364/698.Search in Google Scholar
Jeitschko, T. D., and N.Zhang. 2011. “Patent Pools and Product Development: Perfect Complements Revisited.” Department of Economics, Towson University, Working Papers 2011-02.Search in Google Scholar
Jeitschko, T. D., and N.Zhang. 2013. “On the Challenges Facing Patent Pooling in Biotechnology.” mimeo.10.2139/ssrn.2311699Search in Google Scholar
Joshi, A. M., and A.Nerkar. 2011. “When Do Strategic Alliances Inhibit Innovation by Firms? Evidence from Patent Pools in the Global Optical Disc Industry.” Strategic Management Journal32(11):1139–60.10.1002/smj.929Search in Google Scholar
Kamien, M., E.Muller, and I.Zang. 1992. “Research Joint Ventures and R&D Cartels.” American Economic Review82:1293–306.Search in Google Scholar
Katznelson, R. D., and J.Howells. 2013. “Inventing-Around Edison’s Incandescent Lamp Patent: Evidence of Patents’ Role in Stimulating Downstream Development.” Unpublished Working Paper. http://j.mp/Inventing-around-Edison.10.2139/ssrn.2464308Search in Google Scholar
Lampe, R., and P.Moser. 2010. “Do Patent Pools Encourage Innovation? Evidence from the 19th-Century Sewing Machine Industry.” Journal of Economic History70(4):898–920.10.1017/S0022050710000768Search in Google Scholar
Lampe, R., and P.Moser. 2012. “Patent Pools, Competition, and Innovation – Evidence from 20 U.S. Industries Under the New Deal.” NBER Working Paper No. 18316.Search in Google Scholar
Lerner, J., and J.Tirole. 2004. “Efficient Patent Pools.” American Economic Review94(3):691–711.10.1257/0002828041464641Search in Google Scholar
Lin, P., and K.Saggi. 2002. “Product Differentiation, Process R&D, and the Nature of Market Competition.” European Economic Review46:201–11.10.1016/S0014-2921(00)00090-8Search in Google Scholar
Llanes, G., and S.Trento. 2012. “Patent Policy, Patent Pools, and the Accumulation of Claims in Sequential Innovation.” Economic Theory50:703–25.10.1007/s00199-010-0591-5Search in Google Scholar
Ménière, Y. 2008. “Patent Law and Complementary Innovations.” European Economic Review52:1125–39.10.1016/j.euroecorev.2007.11.002Search in Google Scholar
Miller, M. E., and D. S.Almeling. 2007. “DOJ, FTC Redefine Antitrust Rules on Patent Pools.” National Law Journal.Search in Google Scholar
Moltó, M. J. G., N.Georgantzís, and V.Orts. 2005. “Cooperative R&D with Endogenous Technology Differentiation.” Journal of Economics and Management Strategy14(2):461–76.10.1111/j.1530-9134.2005.00048.xSearch in Google Scholar
Serafino, D. 2007. “Survey of Patent Pools Demonstrates Variety of Purposes and Management Structures.” Knowledge Ecology International. http://keionline.org/content/view/69/1.Search in Google Scholar
Severinov, S. 2001. “On Information Sharing and Incentives in R&D.” RAND Journal of Economics32(3):542–64.10.2307/2696368Search in Google Scholar
Shapiro, C. 2001. “Navigating the Patent Thicket: Cross Licenses, Patent Pools, and Standard Setting.” In Innovation Policy and the Economy, edited by A. B. Jaffe, J.Lerner, and S.Stern, Vol. 1. Cambridge: NBER and MIT press.10.2139/ssrn.273550Search in Google Scholar
Singh, N., and X.Vives. 1984. “Price and Quantity Competition in a Differentiated Duopoly.” RAND Journal of Economics15(4):546–54.10.2307/2555525Search in Google Scholar
U.S. Department of Justice and Federal Trade Commission.2007. Antitrust Enforcement and Intellectual Property Rights: Promoting Innovation and Competition. Washington, DC.Search in Google Scholar
Van Overwalle, G. 2012. “Uncorking Trade Secrets: Sparking the Interaction between Trade Secrecy and Open Biotechnology.” In The Law and Theory of Trade Secrecy: A Handbook of Contemporary Research, edited by R. Dreyfuss and K. Strandberg. Cheltenham: Edward Elgar.Search in Google Scholar
Van Zimmeren, E., S.Vanneste, G.Mattijs, W.Vanhaverbeke, and G.Van Overwalle. 2011. “Patent Pools and Clearinghouses in the Life Sciences.” Trends in Biotechnology29(11):569–76.10.1016/j.tibtech.2011.06.002Search in Google Scholar
Verbeure, B. 2009. “Patent Pooling for Gene-Based Diagnostic Testing. Conceptual Framework.” In Gene Patents and Collaborative Licensing Models, edited by G. Van Overwalle. Cambridge, MA: Cambridge UP.10.1017/CBO9780511581182.003Search in Google Scholar
Zucker, L., M.Darby, and J.Armstrong. 2001. “Commercializing Knowledge: University Science, Knowledge Capture and Firm Performance in Biotechnology.” Management Science48(1):138–53.10.1287/mnsc.48.1.138.14274Search in Google Scholar
- 1
See, e.g. E. Bement & Sons v. National Harrow Co., 186 U.S. 70 (1902).
- 2
Standard Sanitary Manufacturing Co. v. U.S., 226 U.S. 20. For a brief synopsis of the historical development see Miller and Almeling (2007) or Gilbert (2004).
- 3
Cournot illustrates his point by considering the pricing decisions of a monopolist for copper and a monopolist for zinc who are providing the necessary inputs to a downstream producer of brass.
- 4
It should be noted that they recognize that, in the context discussed, the notions of complementarity and substitutability are not actually as clear-cut as it might seem, but a meaningful distinction is nonetheless possible on the basis of changes in patentees’ willingness to pay for additional patents.
- 5
Guideline on the Application of Art. 81 of the European Commission Treaty to Technology Transfer Agreements (2004/C 101/02), and Chapter 3 of USDOJ/FTC (2007).
- 6
See, for instance, the DVD6C patent pool that was formed by nine leading home entertainment companies to foster technology related to digital versatile discs; or the several MPEG patent pools that govern video and audio compression and transmission.
- 7
For example, the entities that had sequenced the severe acute respiratory syndrome associated coronavirus (SARS-CoV) failed to form a pool to facilitate the development of an effective vaccine. Similarly, the development of a DNA microarray to arrange 300 cancer-associated genes would facilitate the diagnosis and possible treatment of many cancers; yet such a DNA chip would require pooling widely dispersed patents, which has not happened. Also, patents on receptors are useful for screening potential pharmaceutical products. To learn as much as possible about the therapeutic effects and side effects of potential products at the pre-clinical stage, firms want to screen products against all known members of relevant receptor families. But when these receptors are patented and controlled by different owners, gathering the necessary licenses may be difficult. See, e.g. USTPO’s white paper on the subject, Clark et al. (2000), Gaulé (2006), Ménièr (2008), Verbeure (2009), van Zimmeren et al. (2011), van Overwalle (2012) or Jeitschko and Zhang (2013).
- 8
A rare exception is the current attempt by MPEG-LA’s Librassay to institute a genetic diagnostic testing patent pool. It is no coincidence that this is tied to molecular diagnostics testing as here there is a clear commercial application that requires less research (Jeitschko and Zhang 2013).
- 9
The aforementioned USPTO white paper on patent pools in biotechnology (see Footnote 7) also cites information sharing specifically as an advantage of pool formation (id. p. 10).
- 10
Kamien, Muller, and Zang (1992) consider an extreme version of this where industry-wide joint ventures yield complete spillovers. See also Erkal and Minehart (2014), who present a dynamic model of research exchange among rivals and consider the endogenous timing of information sharing.
- 11
Of course, if the pooling incentives of patent holders and firms are perfectly aligned (e.g. if the licensors are also licensees, i.e. the case of cross-licensing), then our model can also be interpreted as a version RSJVs similar to Greenlee and our insights carry over to such a setting.
- 12
Thus, we assume that the upstream IP-holders are non-practicing entities. In biotech and pharmaceuticals, many IP-holders are indeed small research laboratories or universities that do not themselves commercialize. Nevertheless, the findings of the model apply to more complex settings in which patent holders are also developers and manufacturers. In those cases what is found in the present setting for firms then applies more broadly to the patent holders as well. This is akin to the case where licensing fees are used (rather than royalties) – a case that is discussed in more detail in Jeitschko and Zhang (2011).
- 13
On the role of information exchange and spillovers in R&D, see, e.g. Severinov (2001).
- 14
Ghosh and Morita (2012) also study possible trade-offs concerning development collaboration and product differentiation, using a circular city model with a focus on how insiders differ from outsiders. Bourreau and Doğan (2010) allow for cost sharing in development and study how increased collaboration in development leads to diminished product differentiation. However, effort is not part of the development process. In contrast to these approaches that postulate a positive relationship between collaboration and product similarity, Lin and Saggi (2002) consider the case where firms coordinate to increase product differentiation.
- 15
The effect of the degree of product differentiation on development efforts has also been examined elsewhere, with some models specifically examining endogenous product differentiation. Amir, Evstigneev, and Wooders (2003) use generic profit functions and consider differences between cooperative and non-cooperative R&D. As for the interplay of effort and spillovers in development, Moltó, Georgantzís, and Orts (2005) have a closed-form model with a result that is similar to one of ours (albeit in a very different set-up) in that the social planner may wish to limit the extent of spillovers in development, as these lead to under-performance due to free-riding.
- 16
The first-order conditions are sufficient and yield an interior solution (i.e. positive equilibrium effort) provided that
– an assumption that we henceforth maintain.
- 17
The proofs are in Appendix B.
- 18
A more detailed analysis of spillover and differentiation effects that abstracts from the issue of royalty stacking is in Jeitschko and Zhang (2011).
- 19
The examples were calculated and the figures were generated using Mathematica®. The associated files are available from the authors upon request.
©2014 by De Gruyter
Articles in the same Issue
- Frontmatter
- Contributions
- Cheap Talk and Editorial Control
- Adverse Effects of Patent Pooling on Product Development and Commercialization
- Discretionary Acquisition of Firm-Specific Human Capital under Non-verifiable Performance
- On-the-Job Search and Finding a Good Job Through Social Contacts
- Replication and Returns to Scale in Production
- An Adaptive Learning Model with Foregone Payoff Information
- A Single Parent’s Labor Supply: Evaluating Different Child Care Fees within an Intertemporal Framework
- Dynamic Price Discrimination with Customer Recognition
- Cournot and Bertrand Competition in a Model of Spatial Price Discrimination with Differentiated Products
- The Impact of Voter Uncertainty and Alienation on Turnout and Candidate Policy Choice
- Topics
- Trust, Truth, Status and Identity: An Experimental Inquiry
- Macro Meets Micro: Stochastic (Calvo) Revisions in Games
- The Robustness Case for Proportional Liability
- The Rise and Spread of Favoritism Practices
- Moral Hazard and Tradeable Pollution Emission Permits
- Reciprocity in the Principal–Multiple Agent Model
Articles in the same Issue
- Frontmatter
- Contributions
- Cheap Talk and Editorial Control
- Adverse Effects of Patent Pooling on Product Development and Commercialization
- Discretionary Acquisition of Firm-Specific Human Capital under Non-verifiable Performance
- On-the-Job Search and Finding a Good Job Through Social Contacts
- Replication and Returns to Scale in Production
- An Adaptive Learning Model with Foregone Payoff Information
- A Single Parent’s Labor Supply: Evaluating Different Child Care Fees within an Intertemporal Framework
- Dynamic Price Discrimination with Customer Recognition
- Cournot and Bertrand Competition in a Model of Spatial Price Discrimination with Differentiated Products
- The Impact of Voter Uncertainty and Alienation on Turnout and Candidate Policy Choice
- Topics
- Trust, Truth, Status and Identity: An Experimental Inquiry
- Macro Meets Micro: Stochastic (Calvo) Revisions in Games
- The Robustness Case for Proportional Liability
- The Rise and Spread of Favoritism Practices
- Moral Hazard and Tradeable Pollution Emission Permits
- Reciprocity in the Principal–Multiple Agent Model