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Potential Competition in Preemption Games

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  • Bobtcheff, Catherine
  • Mariotti, Thomas

Abstract

We consider a preemption game with two potential competitors who come into play at some random secret times. The presence of a competitor is revealed to a player only when the former moves, which terminates the game. We show that all perfect Bayesian equilibria give rise to the same distribution of players' moving times. Moreover, there exists a unique perfect Bayesian equilibrium in which each player's behavior from any time on is independent of the date at which she came into play. We find that competitive pressure is nonmonotonic over time, and that private information tends to alleviate rent dissipation. Our results have a natural interpretation in terms of eroding reputations.

Suggested Citation

  • Bobtcheff, Catherine & Mariotti, Thomas, 2010. "Potential Competition in Preemption Games," IDEI Working Papers 594, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:21999
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Smirnov, Vladimir & Wait, Andrew, 2021. "Preemption with a second-mover advantage," Games and Economic Behavior, Elsevier, vol. 129(C), pages 294-309.
    2. Hitoshi Matsushima, 2020. "Recurrent Preemption Games," CIRJE F-Series CIRJE-F-1143, CIRJE, Faculty of Economics, University of Tokyo.
    3. Sun, Chia-Hung, 2023. "Timing of technology adoption in the presence of patent licensing," Economic Modelling, Elsevier, vol. 127(C).
    4. Lavrutich, Maria N. & Huisman, Kuno J.M. & Kort, Peter M., 2016. "Entry deterrence and hidden competition," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 409-435.
    5. Ozdenoren, Emre & Hoppe-Wewetzer, Heidrun C. & Katsenos, Georgios, 2019. "Experimentation, Learning, and Preemption," CEPR Discussion Papers 13483, C.E.P.R. Discussion Papers.
    6. Schmidbauer, Eric, 2017. "Multi-period competitive cheap talk with highly biased experts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 240-254.
    7. Thomas, Caroline, 2019. "Experimentation with reputation concerns – Dynamic signalling with changing types," Journal of Economic Theory, Elsevier, vol. 179(C), pages 366-415.
    8. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    9. Rossella Argenziano & Philipp Schmidt-Dengler, 2014. "Clustering In N-Player Preemption Games," Journal of the European Economic Association, European Economic Association, vol. 12(2), pages 368-396, April.
    10. Bobtcheff, Catherine & Mariotti, Thomas & Levy, Raphaël, 2021. "Negative results in science: Blessing or (winner’s) curse," TSE Working Papers 21-1202, Toulouse School of Economics (TSE).
    11. Thomas, Caroline, 2020. "Stopping with congestion and private payoffs," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 18-42.
    12. Gorno, Leandro & Iachan, Felipe S., 2020. "Competitive real options under private information," Journal of Economic Theory, Elsevier, vol. 185(C).
    13. Eric Schmidbauer, 2016. "Multi-period competitive cheap talk with very biased experts," Working Papers 2016-04, University of Central Florida, Department of Economics.
    14. Rossella Argenziano & Philipp Schmidt-Dengler, 2014. "Clustering In N-Player Preemption Games," Journal of the European Economic Association, European Economic Association, vol. 12(2), pages 368-396, 04.
    15. Smirnov, Vladimir & Wait, Andrew, 2018. "Blocking in a timing game with asymmetric players," Working Papers 2018-05, University of Sydney, School of Economics, revised May 2019.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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