IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v11y2021i4d10.1007_s13235-021-00379-y.html
   My bibliography  Save this article

Games Without Winners: Catching-up with Asymmetric Spillovers

Author

Listed:
  • Anton Bondarev

    (Xi’an Jiaotong-Liverpool University)

Abstract

Multi-modal differential R&D game with asymmetric players is studied. It is demonstrated that under sufficiently asymmetric players there is no long-run ‘winner’ in this game in terms of developed technologies and all players try to imitate each other. Moreover, this outcome may be the only equilibrium in the cooperative game. In decentralized setting, additional complex types of dynamics are observed: permanent fluctuations around symmetric (pseudo)equilibrium and chaotic dynamics. This last is possible only once strategies of players are interdependent. These new emergent dynamics types call for additional regulation tools which are shortly discussed. It is shown that cooperative solution is qualitatively similar for any number of players, while non-cooperative solution is progressively complex given players are asymmetric. Results are extended to an arbitrary linear-quadratic multi-modal differential game with spillovers, and the structure necessary for the onset of non-deterministic chaos is discussed.

Suggested Citation

  • Anton Bondarev, 2021. "Games Without Winners: Catching-up with Asymmetric Spillovers," Dynamic Games and Applications, Springer, vol. 11(4), pages 670-703, December.
    • Handle: RePEc:spr:dyngam:v:11:y:2021:i:4:d:10.1007_s13235-021-00379-y
    DOI: 10.1007/s13235-021-00379-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-021-00379-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13235-021-00379-y?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. Bondarev, Anton, 2014. "Endogenous specialization of heterogeneous innovative activities of firms under the technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 235-249.
    2. Bondarev, Anton & Greiner, Alfred, 2018. "Catching-up and falling behind: Effects of learning in an R&D differential game with spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 134-156.
    3. Ufuk Akcigit & William R. Kerr, 2018. "Growth through Heterogeneous Innovations," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1374-1443.
    4. Bondarev, Anton & Greiner, Alfred, 2019. "Endogenous Growth And Structural Change Through Vertical And Horizontal Innovations," Macroeconomic Dynamics, Cambridge University Press, vol. 23(1), pages 52-79, January.
    5. Masashige Hamano & Francesco Zanetti, 2017. "Endogenous Turnover and Macroeconomic Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 263-279, October.
    6. Hinloopen, Jeroen & Smrkolj, Grega & Wagener, Florian, 2013. "From mind to market: A global, dynamic analysis of R&D," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2729-2754.
    7. Long, Ngo Van & Prieur, Fabien & Tidball, Mabel & Puzon, Klarizze, 2017. "Piecewise closed-loop equilibria in differential games with regime switching strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 264-284.
    8. Dawid, H. & Kopel, M. & Kort, P.M., 2013. "R&D competition versus R&D cooperation in oligopolistic markets with evolving structure," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 527-537.
    9. 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.
    10. Motta, Massimo & Thisse, Jacques-Francois & Cabrales, Antonio, 1997. "On the Persistence of Leadership or Leapfrogging in International Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 809-824, November.
    11. Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294.
    12. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    13. Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
    14. Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
    15. Gnyawali, Devi R. & Park, Byung-Jin (Robert), 2011. "Co-opetition between giants: Collaboration with competitors for technological innovation," Research Policy, Elsevier, vol. 40(5), pages 650-663, June.
    16. Samano, Mario & Santugini, Marc & Zaccour, Georges, 2017. "Dynamics in research joint ventures and R&D collaborations," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 70-92.
    17. Anton Bondarev, 2016. "Intensity of R&D competition and the generation of innovations in heterogeneous setting," Journal of Evolutionary Economics, Springer, vol. 26(3), pages 621-653, July.
    18. Paulo B. Brito & Luís F. Costa & Huw D. Dixon, 2017. "From Sunspots to Black Holes: Singular Dynamics in Macroeconomic Models," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 41-70, Springer.
    19. Greiner, Alfred & Bondarev, Anton, 2017. "Optimal R&D investment with learning-by-doing: Multiple steady-states and thresholds," Working papers 2017/06, Faculty of Business and Economics - University of Basel.
    20. Claudio Giachetti, 2013. "Changes in Industrial Leadership: Technological Discontinuities and Firms’ Aggressive Actions," Palgrave Macmillan Books, in: Competitive Dynamics in the Mobile Phone Industry, chapter 2, pages 45-78, Palgrave Macmillan.
    21. 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, September.
    22. Antonelli, Cristiano, 2016. "Technological congruence and the economic complexity of technological change," Structural Change and Economic Dynamics, Elsevier, vol. 38(C), pages 15-24.
    23. Pietro Peretto & Michelle Connolly, 2007. "The Manhattan Metaphor," Journal of Economic Growth, Springer, vol. 12(4), pages 329-350, December.
    24. Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), 2017. "Sunspots and Non-Linear Dynamics," Studies in Economic Theory, Springer, number 978-3-319-44076-7, September.
    Full references (including those not matched with items on IDEAS)

    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. Bondarev, Anton, 2018. "Does stronger intellectual property rights protection foster structural change? Effects of heterogeneity in innovations," Structural Change and Economic Dynamics, Elsevier, vol. 46(C), pages 26-42.
    2. Bondarev, Anton & Greiner, Alfred, 2018. "Catching-up and falling behind: Effects of learning in an R&D differential game with spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 134-156.
    3. Bondarev, Anton, 2018. "Heterogeneous R&D spillovers and sustainable growth: Limits to efficient regulation," Working papers 2018/04, Faculty of Business and Economics - University of Basel.
    4. Bondarev, Anton & Krysiak, Frank C., 2021. "Economic development and the structure of cross-technology interactions," European Economic Review, Elsevier, vol. 132(C).
    5. Dawid, Herbert & Keoula, Michel Y. & Kopel, Michael & Kort, Peter M., 2015. "Product innovation incentives by an incumbent firm: A dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 411-438.
    6. Herbert Dawid & Michel Y. Keoula & Peter M. Kort, 2017. "Numerical Analysis of Markov-Perfect Equilibria with Multiple Stable Steady States: A Duopoly Application with Innovative Firms," Dynamic Games and Applications, Springer, vol. 7(4), pages 555-577, December.
    7. Anton Bondarev & Alfred Greiner, 2022. "How ongoing structural change creates a double dividend: outdating of technologies and green growth," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(2), pages 125-160, May.
    8. 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.
    9. 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.
    10. Bondarev, Anton & Greiner, Alfred, 2019. "Endogenous Growth And Structural Change Through Vertical And Horizontal Innovations," Macroeconomic Dynamics, Cambridge University Press, vol. 23(1), pages 52-79, January.
    11. Bondarev, Anton, 2018. "Robust policy schemes for R&D games with asymmetric information," Working papers 2018/01, Faculty of Business and Economics - University of Basel.
    12. Bondarev, Anton, 2014. "Endogenous specialization of heterogeneous innovative activities of firms under the technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 235-249.
    13. Anton Bondarev, 2019. "Robust Policy Schemes for Differential R&D Games with Asymmetric Information," Dynamic Games and Applications, Springer, vol. 9(2), pages 391-415, June.
    14. 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.
    15. Gezer, Serhat, 2019. "Delaying product introduction: A dynamic analysis with endogenous time horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 96-114.
    16. 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.
    17. Marta Aloi & Joanna Poyago-Theotoky & Frédéric Tournemaine, 2022. "The Geography of Knowledge and R&D-led Growth [Real effects ofacademic research: comment]," Journal of Economic Geography, Oxford University Press, vol. 22(6), pages 1149-1190.
    18. Açıkgöz, Ömer T. & Benchekroun, Hassan, 2017. "Anticipated international environmental agreements," European Economic Review, Elsevier, vol. 92(C), pages 306-336.
    19. Guillaume Bataille & Benteng Zou, 2024. "International Fisheries Agreements: Endogenous Exits, Shapley Values, and Moratorium Fishing Policy," DEM Discussion Paper Series 24-06, Department of Economics at the University of Luxembourg.
    20. Smala Fanokoa, Pascaux & Telahigue, Issam & Zaccour, Georges, 2011. "Buying cooperation in an asymmetric environmental differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 935-946, June.

    More about this item

    Keywords

    R&D games; Cross-firms spillovers; Learning-by-doing; Asymmetric players; Multi-modal differential games; Piecewise-smooth systems;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

    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:spr:dyngam:v:11:y:2021:i:4:d:10.1007_s13235-021-00379-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.