IDEAS home Printed from https://ideas.repec.org/a/bla/jecrev/v62y2011i3p387-400.html
   My bibliography  Save this article

R&D Incentives Under Bertrand Competition: A Differential Game

Author

Listed:
  • ROBERTO CELLINI
  • LUCA LAMBERTINI

Abstract

We investigate dynamic R&D for process innovation in an oligopoly where firms invest in cost-reducing activities. We focus on the relationship between R&D intensity and market structure, proving that the industry R&D invest- ment monotonically increases in the number of firms. This result contradicts the established wisdom acquired from static games on the same topic. We also prove that, if competition is suficiently tough, any increase in product substitutability reduces R&D efforts.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Roberto Cellini & Luca Lambertini, 2011. "R&D Incentives Under Bertrand Competition: A Differential Game," The Japanese Economic Review, Japanese Economic Association, vol. 62(3), pages 387-400, September.
    • Handle: RePEc:bla:jecrev:v:62:y:2011:i:3:p:387-400
    DOI: j.1468-5876.2011.00541.x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/j.1468-5876.2011.00541.x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/j.1468-5876.2011.00541.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-1137, December.
    2. R. Cellini & L. Lambertini, 2005. "R&D Incentives and Market Structure: Dynamic Analysis," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 85-96, July.
    3. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
    4. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626, National Bureau of Economic Research, Inc.
    5. L. Lambertini & A. Mantovani, 2000. "Price vs Quantity in a Duopoly with Technological Spillovers: A Welfare Re-Appraisal," Working Papers 389, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
    7. Bester, Helmut & Petrakis, Emmanuel, 1993. "The incentives for cost reduction in a differentiated industry," International Journal of Industrial Organization, Elsevier, vol. 11(4), pages 519-534.
    8. Hinloopen, Jeroen, 2000. "Strategic R&D Co-operatives," Research in Economics, Elsevier, vol. 54(2), pages 153-185, June.
    9. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    10. Roberto Cellini & Luca Lambertini, 2004. "Private And Social Incentives Towards Investment In Product Differentiation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 493-508.
    11. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
    12. repec:cor:louvrp:-1584 is not listed on IDEAS
    13. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    14. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    15. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-121, January.
    16. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908, Elsevier.
    17. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Masahiko Hattori & Yasuhito Tanaka, 2019. "General analysis of dynamic oligopoly with sticky price," Economics Bulletin, AccessEcon, vol. 39(4), pages 2990-2998.
    2. Michael Peneder & Martin Woerter, 2014. "Competition, R&D and innovation: testing the inverted-U in a simultaneous system," Journal of Evolutionary Economics, Springer, vol. 24(3), pages 653-687, July.
    3. Raymond De Bondt & Jan Vandekerckhove, 2012. "Reflections on the Relation Between Competition and Innovation," Journal of Industry, Competition and Trade, Springer, vol. 12(1), pages 7-19, March.
    4. Masahiko Hattori & Yasuhito Tanaka, 2022. "Dynamic analysis of R&D in an oligopoly under general demand and cost functions," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 694-710, June.
    5. Masahiko Hattori & Yasuhito Tanaka, 2021. "Advertising in an oligopoly with differentiated goods under general demand and cost functions: A differential game approach," Manchester School, University of Manchester, vol. 89(6), pages 619-639, December.
    6. Cátia Felisberto, 2012. "The Relationship Between Competition and Incumbent’s Innovation," Journal of Industry, Competition and Trade, Springer, vol. 12(1), pages 21-46, March.
    7. Cátia Felisberto, 2013. "Liberalisation, competition and innovation in the postal sector," Empirical Economics, Springer, vol. 44(3), pages 1407-1434, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
    2. R. Cellini & L. Lambertini, 2005. "R&D Incentives and Market Structure: Dynamic Analysis," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 85-96, July.
    3. Luca Lambertini & Andrea Mantovani, 2010. "Process and product innovation: A differential game approach to product life cycle," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 227-252, June.
    4. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 16-048/II, Tinbergen Institute.
    5. Xavier Vives, 2008. "Innovation And Competitive Pressure," Journal of Industrial Economics, Wiley Blackwell, vol. 56(3), pages 419-469, December.
    6. Cellini, Roberto & Siciliani, Luigi & Straume, Odd Rune, 2018. "A dynamic model of quality competition with endogenous prices," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 190-206.
    7. Feichtinger, Gustav & Lambertini, Luca & Leitmann, George & Wrzaczek, Stefan, 2016. "R&D for green technologies in a dynamic oligopoly: Schumpeter, arrow and inverted-U’s," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1131-1138.
    8. R. Cellini & L. Lambertini, 2000. "Differential Games and Oligopoly Theory: An Overview," Working Papers 369, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Smrkolj, Grega & Wagener, Florian, 2019. "Research among copycats: R&D, spillovers, and feedback strategies," International Journal of Industrial Organization, Elsevier, vol. 65(C), pages 82-120.
    10. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2017. "Research and Development Cooperatives and Market Collusion: A Global Dynamic Approach," Journal of Optimization Theory and Applications, Springer, vol. 174(2), pages 567-612, August.
    11. Carlos Ocaña Pérez de Tudela, 1993. "Modelos dinámicos de competencia estratégica y cambio técnico: una panorámica," Investigaciones Economicas, Fundación SEPI, vol. 17(1), pages 43-63, January.
    12. Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," CeNDEF Working Papers 13-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. Adrien Hervouet & Michel Trommetter, 2020. "Public-private R&D partnerships: A solution to increase knowledge sharing in R&D cooperation," Working Papers hal-02906270, HAL.
    14. Inderst, Roman & Wey, Christian, 2003. "Bargaining, Mergers, and Technology Choice in Bilaterally Oligopolistic Industries," RAND Journal of Economics, The RAND Corporation, vol. 34(1), pages 1-19, Spring.
    15. Guido Candela & Roberto Cellini, 2006. "Investment in Tourism Market: A Dynamic Model of Differentiated Oligopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(1), pages 41-58, September.
    16. Strandholm, John C. & Espinola-Arredondo, Ana & Munoz-Garcia, Felix, 2021. "Pollution abatement with disruptive R&D investment," Resource and Energy Economics, Elsevier, vol. 66(C).
    17. Leibowicz, Benjamin D., 2018. "Welfare improvement windows for innovation policy," Research Policy, Elsevier, vol. 47(2), pages 390-398.
    18. Yannis Caloghirou & Stavros Ioannides & Nicholas S. Vonortas, 2003. "Research Joint Ventures," Journal of Economic Surveys, Wiley Blackwell, vol. 17(4), pages 541-570, September.
    19. Leahy, Dermot & Neary, J. Peter, 2007. "Absorptive capacity, R&D spillovers, and public policy," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 1089-1108, October.
    20. Motta, Massimo & Tarantino, Emanuele, 2021. "The effect of horizontal mergers, when firms compete in prices and investments," International Journal of Industrial Organization, Elsevier, vol. 78(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jecrev:v:62:y:2011:i:3:p:387-400. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/jeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.