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Games without winners: Catching-up with asymmetric spillovers

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  • Bondarev, Anton

Abstract

Dynamic game with changing leader is studied on the example of R&D co-opetition structure. The leader benefits from higher followers' innovations rate and followers are enjoying a spillover from the leader. Leadership changes because of asymmetric efficiency of investments of players. It is demonstrated that under sufficiently asymmetric players there is no long-run leader in this game and all players act as followers. Moreover this outcome may be the socially optimal one. In decentralised setting additional complex types of dynamics are observed: permanent uctuations around symmetric (pseudo)equilibrium and chaotic dynamics. This last is possible only once strategies of players are interdependent. Cooperative solution is qualitatively similar for any number of players while market solution is progressively complex given all 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

  • Bondarev, Anton, 2018. "Games without winners: Catching-up with asymmetric spillovers," Working papers 2018/12, Faculty of Business and Economics - University of Basel.
    • Handle: RePEc:bsl:wpaper:2018/12
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    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. 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.
    4. Ufuk Akcigit & William R. Kerr, 2018. "Growth through Heterogeneous Innovations," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1374-1443.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. Antonelli, Cristiano, 2016. "Technological congruence and the economic complexity of technological change," Structural Change and Economic Dynamics, Elsevier, vol. 38(C), pages 15-24.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    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, March.
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    More about this item

    Keywords

    technological spillovers; heterogeneous innovations; asymmetric players; social optimality; market inefficiency; 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

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