IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v68y2022i8p6059-6074.html
   My bibliography  Save this article

Resource Allocation Among Competing Innovators

Author

Listed:
  • Pin Gao

    (School of Data Science, Chinese University of Hong Kong, Shenzhen, Guangdong 518116, China)

  • Xiaoshuai Fan

    (Department of Information Systems and Management Engineering, College of Business, Southern University of Science and Technology, Shenzhen, Guangdong 518055, China)

  • Yangguang Huang

    (Department of Economics, Hong Kong University of Science and Technology, Hong Kong)

  • Ying-Ju Chen

    (School of Business and Management, Hong Kong University of Science and Technology, Hong Kong)

Abstract

Many innovative products are designed to satisfy the demand of specific target consumers; thus, the innovators will inevitably compete with each other in the product market. We investigate how a profit-maximizing principal should properly allocate her limited resources to support the innovations of multiple potentially competing innovators. We find that, as the available resources increase, the optimal diversification of investment may first increase and then decrease. This interesting nonmonotone pattern is driven by a trade-off between the risk of innovation failure and rent dissipation because of competition. Using this framework, we also analyze a nonprofit principal seeking to maximize the total number of successful innovations, the probability of at least one innovator succeeding, consumer surplus, and total social welfare. A nonprofit principal tends to invest more diversely compared with a for-profit counterpart.

Suggested Citation

  • Pin Gao & Xiaoshuai Fan & Yangguang Huang & Ying-Ju Chen, 2022. "Resource Allocation Among Competing Innovators," Management Science, INFORMS, vol. 68(8), pages 6059-6074, August.
  • Handle: RePEc:inm:ormnsc:v:68:y:2022:i:8:p:6059-6074
    DOI: 10.1287/mnsc.2021.4167
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.2021.4167
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.2021.4167?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
    ---><---

    References listed on IDEAS

    as
    1. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    2. Mitsuru Igami, 2017. "Estimating the Innovator’s Dilemma: Structural Analysis of Creative Destruction in the Hard Disk Drive Industry, 1981–1998," Journal of Political Economy, University of Chicago Press, vol. 125(3), pages 798-847.
    3. 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.
    4. Nicholas Bloom & Mark Schankerman & John Van Reenen, 2013. "Identifying Technology Spillovers and Product Market Rivalry," Econometrica, Econometric Society, vol. 81(4), pages 1347-1393, July.
    5. Dirk Bergemann & Ulrigh Hege, 2005. "The Financing of Innovation: Learning and Stopping," RAND Journal of Economics, The RAND Corporation, vol. 36(4), pages 719-752, Winter.
    6. Rothaermel, Frank T. & Thursby, Marie, 2005. "University-incubator firm knowledge flows: assessing their impact on incubator firm performance," Research Policy, Elsevier, vol. 34(3), pages 305-320, April.
    7. Tyzoon T. Tyebjee & Albert V. Bruno, 1984. "A Model of Venture Capitalist Investment Activity," Management Science, INFORMS, vol. 30(9), pages 1051-1066, September.
    8. Ricardo J. Caballero & Adam B. Jaffe, 1993. "How High Are the Giants' Shoulders: An Empirical Assessment of Knowledge Spillovers and Creative Destruction in a Model of Economic Growth," NBER Chapters, in: NBER Macroeconomics Annual 1993, Volume 8, pages 15-86, National Bureau of Economic Research, Inc.
    9. Kitch, Edmund W, 1977. "The Nature and Function of the Patent System," Journal of Law and Economics, University of Chicago Press, vol. 20(2), pages 265-290, October.
    10. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    11. Lee G. Branstetter & Mariko Sakakibara, 2002. "When Do Research Consortia Work Well and Why? Evidence from Japanese Panel Data," American Economic Review, American Economic Association, vol. 92(1), pages 143-159, March.
    12. Raul O. Chao & Stylianos Kavadias & Cheryl Gaimon, 2009. "Revenue Driven Resource Allocation: Funding Authority, Incentives, and New Product Development Portfolio Management," Management Science, INFORMS, vol. 55(9), pages 1556-1569, September.
    13. Jacob, Brian A. & Lefgren, Lars, 2011. "The impact of research grant funding on scientific productivity," Journal of Public Economics, Elsevier, vol. 95(9), pages 1168-1177.
    14. Reinganum, Jennifer F, 1983. "Uncertain Innovation and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 73(4), pages 741-748, September.
    15. Carl Shapiro, 2001. "Navigating the Patent Thicket: Cross Licenses, Patent Pools, and Standard Setting," NBER Chapters, in: Innovation Policy and the Economy, Volume 1, pages 119-150, National Bureau of Economic Research, Inc.
    16. Sabrina T. Howell, 2017. "Financing Innovation: Evidence from R&D Grants," American Economic Review, American Economic Association, vol. 107(4), pages 1136-1164, April.
    17. Yeon-Koo Che & Ian Gale, 2003. "Optimal Design of Research Contests," American Economic Review, American Economic Association, vol. 93(3), pages 646-671, June.
    18. Philippe Aghion & Christopher Harris & Peter Howitt & John Vickers, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 467-492.
    19. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 701-728.
    20. David Pérez‐Castrillo & David Wettstein, 2016. "Discrimination In A Model Of Contests With Incomplete Information About Ability," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(3), pages 881-914, August.
    21. Lerner, Josh, 1999. "The Government as Venture Capitalist: The Long-Run Impact of the SBIR Program," The Journal of Business, University of Chicago Press, vol. 72(3), pages 285-318, July.
    22. Ersin Körpeoğlu & Soo-Haeng Cho, 2018. "Incentives in Contests with Heterogeneous Solvers," Management Science, INFORMS, vol. 64(6), pages 2709-2715, June.
    23. Pierre Azoulay & Danielle Li, 2020. "Scientific Grant Funding," NBER Chapters, in: Innovation and Public Policy, pages 117-150, National Bureau of Economic Research, Inc.
    24. Eric Budish & Benjamin N. Roin & Heidi Williams, 2015. "Do Firms Underinvest in Long-Term Research? Evidence from Cancer Clinical Trials," American Economic Review, American Economic Association, vol. 105(7), pages 2044-2085, July.
    25. Jennifer F. Reinganum, 1985. "Innovation and Industry Evolution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 81-99.
    26. Jochen Schlapp & Nektarios Oraiopoulos & Vincent Mak, 2015. "Resource Allocation Decisions Under Imperfect Evaluation and Organizational Dynamics," Management Science, INFORMS, vol. 61(9), pages 2139-2159, September.
    27. Volodymyr Babich & Panos Kouvelis, 2018. "Introduction to the Special Issue on Research at the Interface of Finance, Operations, and Risk Management (iFORM): Recent Contributions and Future Directions," Manufacturing & Service Operations Management, INFORMS, vol. 20(1), pages 1-18, February.
    28. Christian Terwiesch & Yi Xu, 2008. "Innovation Contests, Open Innovation, and Multiagent Problem Solving," Management Science, INFORMS, vol. 54(9), pages 1529-1543, September.
    29. Nickell, Stephen J, 1996. "Competition and Corporate Performance," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 724-746, August.
    30. David Pérez‐Castrillo & David Wettstein, 2016. "Discrimination In A Model Of Contests With Incomplete Information About Ability," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 881-914, August.
    31. Richard Blundell & Rachel Griffith & John van Reenen, 1999. "Market Share, Market Value and Innovation in a Panel of British Manufacturing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 529-554.
    32. Pierre Azoulay & Danielle Li, 2020. "Scientific Grant Funding," NBER Working Papers 26889, National Bureau of Economic Research, Inc.
    33. Kostas Bimpikis & Shayan Ehsani & Mohamed Mostagir, 2019. "Designing Dynamic Contests," Operations Research, INFORMS, vol. 67(2), pages 339-356, March.
    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. Mahdiyeh Entezarkheir & Saeed Moshiri, 2021. "Innovation spillover and merger decisions," Empirical Economics, Springer, vol. 61(5), pages 2419-2448, November.
    2. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 701-728.
    3. Bucci, Alberto & Parello, Carmelo Pierpaolo, 2009. "Horizontal innovation-based growth and product market competition," Economic Modelling, Elsevier, vol. 26(1), pages 213-221, January.
    4. Aurelien Quignon, 2022. "Market Regulation and Innovation: Direct and Indirect Effects," Journal of Industry, Competition and Trade, Springer, vol. 22(3), pages 429-456, December.
    5. Cerquera Dussán, Daniel, 2006. "Dynamic R&D incentives with network externalities," ZEW Discussion Papers 06-094, ZEW - Leibniz Centre for European Economic Research.
    6. Alberto Bucci, 2008. "Competition and R&D investment in human capital-driven growth," Politica economica, Società editrice il Mulino, issue 2, pages 235-265.
    7. repec:mul:je8794:doi:10.1429/27918:y:2008:i:2:p:235 is not listed on IDEAS
    8. Claude D'Aspremont & Rodolphe Dos Santos Ferreira & Louis‐André Gérard‐Varet, 2010. "Strategic R&D investment, competitive toughness and growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(3), pages 273-295, September.
    9. Olga Slivko & Bernd Theilen, 2014. "Innovation or imitation? The effect of spillovers and competitive pressure on firms’ R&D strategy choice," Journal of Economics, Springer, vol. 112(3), pages 253-282, July.
    10. Tania Babina & Alex Xi He & Sabrina T. Howell & Elisabeth Ruth Perlman & Joseph Staudt, 2020. "The Color of Money: Federal vs. Industry Funding of University Research," NBER Working Papers 28160, National Bureau of Economic Research, Inc.
    11. Aghion, Philippe & Akcigit, Ufuk & Howitt, Peter, 2014. "What Do We Learn From Schumpeterian Growth Theory?," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 0, pages 515-563, Elsevier.
    12. Michael Noel & Mark Schankerman, 2013. "Strategic Patenting and Software Innovation," Journal of Industrial Economics, Wiley Blackwell, vol. 61(3), pages 481-520, September.
    13. Braunerhjelm, Pontus, 2010. "Entrepreneurship, Innovation and Economic Growth - past experience, current knowledge and policy implications," Working Paper Series in Economics and Institutions of Innovation 224, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
    14. Klette, Tor Jakob & Griliches, Zvi, 2000. "Empirical Patterns of Firm Growth and R&D Investment: A Quality Ladder Model Interpretation," Economic Journal, Royal Economic Society, vol. 110(463), pages 363-387, April.
    15. Gaëtan Nicodème & Jacques-Bernard Sauner-Leroy, 2007. "Product Market Reforms and Productivity: A Review of the Theoretical and Empirical Literature on the Transmission Channels," Journal of Industry, Competition and Trade, Springer, vol. 7(1), pages 53-72, March.
    16. Ronald Goettler & Brett Gordon, 2014. "Competition and product innovation in dynamic oligopoly," Quantitative Marketing and Economics (QME), Springer, vol. 12(1), pages 1-42, March.
    17. MARSCHINSKI Robert & DE AMORES HERNANDEZ Antonio & AMOROSO Sara & BAUER Peter & CARDANI Roberta & CSEFALVAY Zoltan & GENTY Aurelien & GKOTSIS Petros & GREGORI Wildmer & GRASSANO Nicola & HERNANDEZ GUE, 2021. "EU competitiveness: recent trends, drivers, and links to economic policy: A Synthesis Report," JRC Research Reports JRC123232, Joint Research Centre.
    18. L??szl?? Halpern & G??bor K??r??si, 2003. "Corporate performance and market structure during transition in Hungary," William Davidson Institute Working Papers Series 2003-606, William Davidson Institute at the University of Michigan.
    19. Schiffbauer, Marc, 2006. "Theoretical and methodological study on the role of public policies in fostering innovation and growth," Papers DYNREG04, Economic and Social Research Institute (ESRI).
    20. Aldieri, Luigi & Aprile, Maria Carmela & Vinci, Concetto Paolo, 2015. "R&D Spillovers Effects on strategic behaviour of Large International Firms," MPRA Paper 63402, University Library of Munich, Germany.
    21. Yosuke Okada, 2005. "Competition and Productivity in Japanese Manufacturing Industries," NBER Working Papers 11540, National Bureau of Economic Research, Inc.

    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:inm:ormnsc:v:68:y:2022:i:8:p:6059-6074. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.