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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," TSE Working Papers 10-140, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:22000
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Schmidbauer, Eric, 2017. "Multi-period competitive cheap talk with highly biased experts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 240-254.
    3. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    4. Eric Schmidbauer, 2016. "Multi-period competitive cheap talk with very biased experts," Working Papers 2016-04, University of Central Florida, Department of Economics.
    5. 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.

    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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