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Innovative Activity and Sunk Cost

Author

Listed:
  • Kaplan, T.R.
  • Luski, I.
  • Wettstein, D.

Abstract

We analyze a patent race where the first innovator receives a time-dependent reward while all firms incur costs. When firms are identical, there is a unique, symmetric, mixed-strategy equilibrium that yields zero expected profits for all firms. Furthermore, the expected innovation time is an increasing function of the number of firms and a decreasing function of the size of the reward. When one firm has a higher reward than another, it is more likely to win. Although similar to an all-pay auction, our approach may yield both similar and qualitatively different behavior.

Suggested Citation

  • Kaplan, T.R. & Luski, I. & Wettstein, D., 2000. "Innovative Activity and Sunk Cost," Papers 2000-6, Tel Aviv.
  • Handle: RePEc:fth:teavfo:2000-6
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    References listed on IDEAS

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    1. 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.
    2. Martin, Stephen, 2001. "Industrial Organization: A European Perspective," OUP Catalogue, Oxford University Press, number 9780198297284.
    3. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    4. Dasgupta, Partha & Stiglitz, Joseph, 1980. "Industrial Structure and the Nature of Innovative Activity," Economic Journal, Royal Economic Society, vol. 90(358), pages 266-293, June.
    5. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    6. F. M. Scherer, 1967. "Research and Development Resource Allocation Under Rivalry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 81(3), pages 359-394.
    7. Tom Lee & Louis L. Wilde, 1980. "Market Structure and Innovation: A Reformulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 429-436.
    8. Cohen, Wesley M & Klepper, Steven, 1996. "A Reprise of Size and R&D," Economic Journal, Royal Economic Society, vol. 106(437), pages 925-951, July.
    9. Baye, Michael R. & Morgan, John, 1999. "A folk theorem for one-shot Bertrand games," Economics Letters, Elsevier, vol. 65(1), pages 59-65, October.
    10. Vickers, John S, 1986. "The Evolution of Market Structure When There Is a Sequence of Innovations," Journal of Industrial Economics, Wiley Blackwell, vol. 35(1), pages 1-12, September.
    11. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    12. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    13. Gilbert, Richard J & Newbery, David M G, 1982. "Preemptive Patenting and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 72(3), pages 514-526, June.
    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. Jennifer F. Reinganum, 1981. "On the Diffusion of New Technology: A Game Theoretic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 395-405.
    16. Katz, Michael L & Shapiro, Carl, 1987. "R&D Rivalry with Licensing or Imitation," American Economic Review, American Economic Association, vol. 77(3), pages 402-420, June.
    17. Robert Vossen, 1999. "Market Power, Industrial Concentration and Innovative Activity," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 15(4), pages 367-378, December.
    18. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    19. Joseph E. Stiglitz & G. Frank Mathewson (ed.), 1986. "New Developments in the Analysis of Market Structure," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262690934, December.
    20. Denicolo, Vincenzo, 1996. "Patent Races and Optimal Patent Breadth and Length," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 249-265, September.
    21. Todd R. Kaplan & David Wettstein, 2000. "The possibility of mixed-strategy equilibria with constant-returns-to-scale technology under Bertrand competition," Spanish Economic Review, Springer;Spanish Economic Association, vol. 2(1), pages 65-71.
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    More about this item

    Keywords

    INNOVATIONS ; PATENTS ; COSTS;
    All these keywords.

    JEL classification:

    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D
    • O34 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Intellectual Property and Intellectual Capital

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