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Understanding the complex relationship between R&D investment and firm growth: A chaos perspective

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  • Yuan, Xuchuan
  • Nishant, Rohit

Abstract

Time delays and feedback loops often introduce nonlinear, dynamic, chaotic, or disorderly business patterns. In this paper, we argue that a firm’s growth driven by R&D can also exhibit chaotic behavior, through a simple model, where R&D has two distinct impacts on its revenue through the demand-inducing and cost-increasing effects. On the basis of a revenue-based investment strategy with anchoring and adjustment, the firm’s growth dynamics are characterized by a two-dimensional dynamical system under either the cost-plus or profit-maximizing pricing policies. Theoretical and numerical studies are used to show that growth can drive stable, periodic, and even chaotic behaviors. The findings suggest that R&D investment has more complex impacts on growth than previously envisioned, and that managerial decisions about R&D investments can cause fluctuations and erratic growth patterns in nonlinear and complex business environments.

Suggested Citation

  • Yuan, Xuchuan & Nishant, Rohit, 2021. "Understanding the complex relationship between R&D investment and firm growth: A chaos perspective," Journal of Business Research, Elsevier, vol. 129(C), pages 666-678.
  • Handle: RePEc:eee:jbrese:v:129:y:2021:i:c:p:666-678
    DOI: 10.1016/j.jbusres.2019.11.043
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    as
    1. Bee Yan Aw & Mark J. Roberts & Daniel Yi Xu, 2011. "R&D Investment, Exporting, and Productivity Dynamics," American Economic Review, American Economic Association, vol. 101(4), pages 1312-1344, June.
    2. Yuan, Xuchuan & Hwarng, H. Brian, 2016. "Stability and chaos in demand-based pricing under social interactions," European Journal of Operational Research, Elsevier, vol. 253(2), pages 472-488.
    3. Shaikh, Ibrahim A. & O'Brien, Jonathan Paul & Peters, Lois, 2018. "Inside directors and the underinvestment of financial slack towards R&D-intensity in high-technology firms," Journal of Business Research, Elsevier, vol. 82(C), pages 192-201.
    4. Kevin J. Dooley & Andrew H. Van de Ven, 1999. "Explaining Complex Organizational Dynamics," Organization Science, INFORMS, vol. 10(3), pages 358-372, June.
    5. repec:bla:scandj:v:85:y:1983:i:2:p:147-57 is not listed on IDEAS
    6. Reinganum, Jennifer F, 1982. "A Dynamic Game of R and D: Patent Protection and Competitive Behavior," Econometrica, Econometric Society, vol. 50(3), pages 671-688, May.
    7. Falk, Martin & de Lemos, Francisco Figueira, 2019. "Complementarity of R&D and productivity in SME export behavior," Journal of Business Research, Elsevier, vol. 96(C), pages 157-168.
    8. J. Robert Baum & Stefan Wally, 2003. "Strategic decision speed and firm performance," Strategic Management Journal, Wiley Blackwell, vol. 24(11), pages 1107-1129, November.
    9. Philip Bromiley & Devaki Rau & Yu Zhang, 2017. "Is R&D risky?," Strategic Management Journal, Wiley Blackwell, vol. 38(4), pages 876-891, April.
    10. Philip Anderson, 1999. "Perspective: Complexity Theory and Organization Science," Organization Science, INFORMS, vol. 10(3), pages 216-232, June.
    11. Bental, Benjamin & Peled, Dan, 1996. "The Accumulation of Wealth and the Cyclical Generation of New Technologies: A Search Theoretic Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(3), pages 687-718, August.
    12. Julio J. Rotemberg, 2003. "Stochastic Technical Progress, Smooth Trends, and Nearly Distinct Business Cycles," American Economic Review, American Economic Association, vol. 93(5), pages 1543-1559, December.
    13. Nick Bloom, 2007. "Uncertainty and the Dynamics of R&D," American Economic Review, American Economic Association, vol. 97(2), pages 250-255, May.
    14. Saul Lach & Rafael Rob, 1996. "R&D, Investment, and Industry Dynamics," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 5(2), pages 217-249, June.
    15. Walde, Klaus, 2002. "The economic determinants of technology shocks in a real business cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 1-28, November.
    16. Feichtinger, Gustav & Kopel, Michael, 1993. "Chaos in nonlinear dynamical systems exemplified by an R & D model," European Journal of Operational Research, Elsevier, vol. 68(2), pages 145-159, July.
    17. Robert E. Hoskisson & Michael A. Hitt, 1988. "Strategic control systems and relative r&d investment in large multiproduct firms," Strategic Management Journal, Wiley Blackwell, vol. 9(6), pages 605-621, November.
    18. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    19. Kiminori Matsuyama, 1999. "Growing Through Cycles," Econometrica, Econometric Society, vol. 67(2), pages 335-348, March.
    20. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
    21. M. Ishaq Nadiri & Ingmar R. Prucha, 1991. "Comparison and Analysis of Productivity Growth and R&D Investment in the Electrical Machinery Industries of the United States and Japan," NBER Chapters, in: Productivity Growth in Japan and the United States, pages 109-133, National Bureau of Economic Research, Inc.
    22. Mihnea C. Moldoveanu & Robert M. Bauer, 2004. "On the Relationship Between Organizational Complexity and Organizational Structuration," Organization Science, INFORMS, vol. 15(1), pages 98-118, February.
    23. Hwarng, H. Brian & Xie, Na, 2008. "Understanding supply chain dynamics: A chaos perspective," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1163-1178, February.
    24. Matsuyama, Kiminori, 2001. "Growing through Cycles in an Infinitely Lived Agent Economy," Journal of Economic Theory, Elsevier, vol. 100(2), pages 220-234, October.
    25. Gerhard Glomm & B. Ravikumar, 1994. "Growth-Inequality Trade-Offs in a Model with Public Sector R&D," Canadian Journal of Economics, Canadian Economics Association, vol. 27(2), pages 484-493, May.
    26. Whitby, Simon & Parker, David & Tobias, Andrew, 2001. "Non-linear dynamics and duopolistic competition: a R&D model and simulation," Journal of Business Research, Elsevier, vol. 51(3), pages 179-191, March.
    27. Sterman, John D., 1989. "Misperceptions of feedback in dynamic decision making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 43(3), pages 301-335, June.
    28. Martin Shubik, 1962. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Management Science, INFORMS, vol. 8(3), pages 325-343, April.
    29. Gu, Lifeng, 2016. "Product market competition, R&D investment, and stock returns," Journal of Financial Economics, Elsevier, vol. 119(2), pages 441-455.
    30. Shantanu Dutta & Om Narasimhan & Surendra Rajiv, 2005. "Conceptualizing and measuring capabilities: methodology and empirical application," Strategic Management Journal, Wiley Blackwell, vol. 26(3), pages 277-285, March.
    31. Lewis, Craig M. & Tan, Yongxian, 2016. "Debt-equity choices, R&D investment and market timing," Journal of Financial Economics, Elsevier, vol. 119(3), pages 599-610.
    32. Jiann-Chyuan Wang & Kuen-Hung Tsai, 2004. "Productivity Growth and R&D Expenditure in Taiwan's Manufacturing Firms," NBER Chapters, in: Growth and Productivity in East Asia, pages 277-296, National Bureau of Economic Research, Inc.
    33. Coldbeck, Beata & Ozkan, Aydin, 2018. "Comparison of adjustment speeds in target research and development and capital investment: What did the financial crisis of 2007 change?," Journal of Business Research, Elsevier, vol. 84(C), pages 1-10.
    34. John D. Sterman, 1989. "Modeling Managerial Behavior: Misperceptions of Feedback in a Dynamic Decision Making Experiment," Management Science, INFORMS, vol. 35(3), pages 321-339, March.
    35. Patel, Pankaj C. & Guedes, Maria João & Soares, Nuno & da Conceição Gonçalves, Vítor, 2018. "Strength of the association between R&D volatility and firm growth: The roles of corporate governance and tangible asset volatility," Journal of Business Research, Elsevier, vol. 88(C), pages 282-288.
    36. Kopel, Michael, 1996. "Periodic and chaotic behaviour of a simple R&D model," Ricerche Economiche, Elsevier, vol. 50(3), pages 235-265, September.
    37. Paul D. Childs & Alexander J. Triantis, 1999. "Dynamic R&D Investment Policies," Management Science, INFORMS, vol. 45(10), pages 1359-1377, October.
    38. Wu, Y. & Zhang, D.Z., 2007. "Demand fluctuation and chaotic behaviour by interaction between customers and suppliers," International Journal of Production Economics, Elsevier, vol. 107(1), pages 250-259, May.
    39. Jukka Luoma & Sampsa Ruutu & Adelaide Wilcox King & Henrikki Tikkanen, 2017. "Time delays, competitive interdependence, and firm performance," Strategic Management Journal, Wiley Blackwell, vol. 38(3), pages 506-525, March.
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    Cited by:

    1. Yuan, Xuchuan & Brian Hwarng, H., 2023. "Examining the dynamics of reactive capacity allocation through a chaos lens," European Journal of Operational Research, Elsevier, vol. 308(2), pages 912-928.

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