IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v524y2019icp587-600.html
   My bibliography  Save this article

A differential game of R&D investment for pollution abatement in different market structures

Author

Listed:
  • Yi, Yongxi
  • Xu, Rongwei
  • Zhang, Sheng

Abstract

This paper extends the recent work of Shibata from static perspective to dynamic perspective, presents a differential game model of pollution abatement R&D investment with emission tax. Two key factors to continuously measuring the intensity of market competition and pollution abatement R&D investment spillovers respectively are included in the model. Results show that before the termination point of the project, as the market becomes more competitive, noncooperative R&D investment is more likely to be preferred. There are cases in which, contrary to conventional wisdom, when the market is perfectly competitive, the cooperative pollution abatement R&D investment is zero but the noncooperative investment is not zero; the pollution abatement R&D investment spillovers have some positive influence on optimal cooperative R&D investment while make the optimal noncooperative R&D investment decrease.

Suggested Citation

  • Yi, Yongxi & Xu, Rongwei & Zhang, Sheng, 2019. "A differential game of R&D investment for pollution abatement in different market structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 587-600.
  • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:587-600
    DOI: 10.1016/j.physa.2019.04.118
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119305047
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2019.04.118?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 search for a different version of it.

    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. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 529-538.
    3. Juin‐Jen Chang & Jhy‐Hwa Chen & Jhy‐Yuan Shieh & Ching‐Chong Lai, 2009. "Optimal Tax Policy, Market Imperfections, and Environmental Externalities in a Dynamic Optimizing Macro Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 623-651, August.
    4. Shibata, Takashi, 2014. "Market structure and R&D investment spillovers," Economic Modelling, Elsevier, vol. 43(C), pages 321-329.
    5. Jacobs, Bas & de Mooij, Ruud A., 2015. "Pigou meets Mirrlees: On the irrelevance of tax distortions for the second-best Pigouvian tax," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 90-108.
    6. Benchekroun, Hassan & Martín-Herrán, Guiomar, 2016. "The impact of foresight in a transboundary pollution game," European Journal of Operational Research, Elsevier, vol. 251(1), pages 300-309.
    7. Heal, Geoffrey & Tarui, Nori, 2010. "Investment and emission control under technology and pollution externalities," Resource and Energy Economics, Elsevier, vol. 32(1), pages 1-14, January.
    8. 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.
    9. Parry, Ian W. H., 1995. "Optimal pollution taxes and endogenous technological progress," Resource and Energy Economics, Elsevier, vol. 17(1), pages 69-85, May.
    10. Frederick Ploeg & Aart Zeeuw, 1992. "International aspects of pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 117-139, March.
    11. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-666, September.
    12. Chu, Hsun & Lai, Ching-chong, 2014. "Abatement R&D, market imperfections, and environmental policy in an endogenous growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 20-37.
    13. Coria, Jessica, 2009. "Taxes, permits, and the diffusion of a new technology," Resource and Energy Economics, Elsevier, vol. 31(4), pages 249-271, November.
    14. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    15. Kenneth L. Judd, 2002. "Capital-Income Taxation with Imperfect Competition," American Economic Review, American Economic Association, vol. 92(2), pages 417-421, May.
    16. George Symeonidis, 2008. "Downstream Competition, Bargaining, and Welfare," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 17(1), pages 247-270, March.
    17. Liu, Antung Anthony, 2013. "Tax evasion and optimal environmental taxes," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 656-670.
    18. Fullerton, Don & Metcalf, Gilbert E., 2002. "Cap and trade policies in the presence of monopoly and distortionary taxation," Resource and Energy Economics, Elsevier, vol. 24(4), pages 327-347, November.
    19. Wirl, Franz, 2014. "Taxes versus permits as incentive for the intertemporal supply of a clean technology by a monopoly," Resource and Energy Economics, Elsevier, vol. 36(1), pages 248-269.
    20. Matsumura, Toshihiro & Matsushima, Noriaki & Cato, Susumu, 2013. "Competitiveness and R&D competition revisited," Economic Modelling, Elsevier, vol. 31(C), pages 541-547.
    21. Jaffe, Adam B, 1986. "Technological Opportunity and Spillovers of R&D: Evidence from Firms' Patents, Profits, and Market Value," American Economic Review, American Economic Association, vol. 76(5), pages 984-1001, December.
    22. Oliver Hart, 1982. "A Model of Imperfect Competition with Keynesian Features," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(1), pages 109-138.
    23. Lans Bovenberg, A. & Smulders, Sjak, 1995. "Environmental quality and pollution-augmenting technological change in a two-sector endogenous growth model," Journal of Public Economics, Elsevier, vol. 57(3), pages 369-391, July.
    24. Pal, Rupayan & Saha, Bibhas, 2015. "Pollution tax, partial privatization and environment," Resource and Energy Economics, Elsevier, vol. 40(C), pages 19-35.
    25. Nolan Miller & Amit Pazgal, 2002. "Relative performance as a strategic commitment mechanism," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 23(2), pages 51-68.
    26. Greaker, Mads & Rosendahl, Knut Einar, 2008. "Environmental policy with upstream pollution abatement technology firms," Journal of Environmental Economics and Management, Elsevier, vol. 56(3), pages 246-259, 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. Usman, Muhammad & Khalid, Khaizran & Mehdi, Muhammad Abuzar, 2021. "What determines environmental deficit in Asia? Embossing the role of renewable and non-renewable energy utilization," Renewable Energy, Elsevier, vol. 168(C), pages 1165-1176.

    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. Chu, Hsun & Lai, Ching-chong, 2014. "Abatement R&D, market imperfections, and environmental policy in an endogenous growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 20-37.
    2. Shibata, Takashi, 2014. "Market structure and R&D investment spillovers," Economic Modelling, Elsevier, vol. 43(C), pages 321-329.
    3. Juin‐Jen Chang & Jhy‐Hwa Chen & Jhy‐Yuan Shieh & Ching‐Chong Lai, 2009. "Optimal Tax Policy, Market Imperfections, and Environmental Externalities in a Dynamic Optimizing Macro Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 623-651, August.
    4. Ishikawa, Nana & Shibata, Takashi, 2021. "R&D competition and cooperation with asymmetric spillovers in an oligopoly market," International Review of Economics & Finance, Elsevier, vol. 72(C), pages 624-642.
    5. Javier Frutos & Víctor Gatón & Paula M. López-Pérez & Guiomar Martín-Herrán, 2022. "Investment in Cleaner Technologies in a Transboundary Pollution Dynamic Game: A Numerical Investigation," Dynamic Games and Applications, Springer, vol. 12(3), pages 813-843, September.
    6. Xing, Mingqing & Tan, Tingting & Wang, Xia, 2021. "Emission taxes and environmental R&D risk choices in a duopoly market," Economic Modelling, Elsevier, vol. 101(C).
    7. Luís F. Costa & Huw Dixon, 2009. "Fiscal Policy under Imperfect Competition: A Survey," Working Papers Department of Economics 2009/25, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    8. Chu, Hsun & Lai, Ching-chong & Liao, Chih-hsing, 2016. "A Note On Environment-Dependent Time Preferences," Macroeconomic Dynamics, Cambridge University Press, vol. 20(6), pages 1652-1667, September.
    9. Masahiko Hattori & Yasuhito Tanaka, 2017. "Competitiveness and Subsidy or Tax Policy for New Technology Adoption in Duopoly," Global Economic Review, Taylor & Francis Journals, vol. 46(1), pages 18-32, January.
    10. Seonghwan Oh & Michael Waldman, 1989. "Keynesian Coordination Failure and Persistence," UCLA Economics Working Papers 570, UCLA Department of Economics.
    11. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
    12. Sibel Sirakaya & Stephen J. Turnovsky & Nedim M. Alemdar, 2009. "Trade, Growth, and Environmental Quality," Review of International Economics, Wiley Blackwell, vol. 17(5), pages 906-926, November.
    13. Luca Lambertini & Gianpaolo Rossini, 2009. "The Gains From Cooperative R&D With A Concave Technology And Spillovers," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 77-85.
    14. Seongwan Oh & Michael Waldman, 1989. "The New Perspective on Keynesian Coordination Failure: Theory and Evidence," UCLA Economics Working Papers 559, UCLA Department of Economics.
    15. Josheski, Dushko & Magdinceva-Sopova, Marija, 2014. "Еconomic theory and the New-Keynesian school," MPRA Paper 53284, University Library of Munich, Germany.
    16. Dennis W. Carlton, 1998. "A Critical Assessment of the Role of Imperfect Competition in Macroeconomics," Palgrave Macmillan Books, in: Steven Brakman & Hans Ees & Simon K. Kuipers (ed.), Market Behaviour and Macroeconomic Modelling, chapter 3, pages 73-104, Palgrave Macmillan.
    17. Stepanyan Ara & Tevosyan Anahit, 2008. "A small open economy model with remittances: Evidence from Armenian economy," EERC Working Paper Series 08/06e, EERC Research Network, Russia and CIS.
    18. Fouad El Ouardighi & Konstantin Kogan & Giorgio Gnecco & Marcello Sanguineti, 2020. "Transboundary pollution control and environmental absorption efficiency management," Annals of Operations Research, Springer, vol. 287(2), pages 653-681, April.
    19. Chatterjee, Rittwik & Chattopadhyay, Srobonti & Kabiraj, Tarun, 2017. "Spillover and R&D Incentives under Incomplete Information in a Duopoly Industry," MPRA Paper 81371, University Library of Munich, Germany.
    20. Steven M. Fazzari & Piero Ferri & Edward Greenberg, 1999. "Aggregate Demand and Micro Behavior: A New Perspective on Keynesian Macroeconomics," Macroeconomics 9902005, University Library of Munich, Germany.

    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:eee:phsmap:v:524:y:2019:i:c:p:587-600. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.