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Recurrent Preemption Games

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  • Hitoshi Matsushima

    (Hitoshi Matsushima)

Abstract

I consider a new model of an infinitely repeated preemption game with random matching, termed the recurrent preemption game, wherein each player’s discount factor depends on whether she wins the current game. This model describes sequential strategic technology adoptions in which a company becomes outdated by failing to maintain a position at the forefront of innovation. Assuming incomplete information about the presence of a rival, I clarify how the prominence of the innovator’s dilemma influences the degree of excessive competition in preemption. I also reveal interesting properties demonstrated by the unique symmetric Nash equilibrium of the recurrent preemption game.

Suggested Citation

  • Hitoshi Matsushima, 2020. "Recurrent Preemption Games," CARF F-Series CARF-F-472, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    • Handle: RePEc:cfi:fseres:cf472
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    References listed on IDEAS

    as
    1. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    2. Matsushima, Hitoshi, 2013. "Behavioral aspects of arbitrageurs in timing games of bubbles and crashes," Journal of Economic Theory, Elsevier, vol. 148(2), pages 858-870.
    3. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
    4. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 63-80.
    5. 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.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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