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Potential Competition in Preemption Games

  • Bobtcheff, Catherine
  • Mariotti, Thomas

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.

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 10-140.

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Date of creation: Jan 2010
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Handle: RePEc:tse:wpaper:22000
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  1. Brunnermeier, Markus K & Morgan, John, 2006. "Clock Games: Theory and Experiments," Competition Policy Center, Working Paper Series qt9c11m09n, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
  2. Nicolas, VIEILLE & Rida, LARAKI & Eilon, SOLAN, 2003. "Continuous-Time Games of Timing," Les Cahiers de Recherche 773, HEC Paris.
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  9. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
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  13. Francesco Squintani & Hugo Hopenhayn, 2005. "Preemption Games with Private Information," 2005 Meeting Papers 80, Society for Economic Dynamics.
  14. Hoppe, Heidrun C. & Lehmann-Grube, Ulrich, 2005. "Innovation timing games: a general framework with applications," Journal of Economic Theory, Elsevier, vol. 121(1), pages 30-50, March.
  15. G. Giorgi & S. Komlósi, 1992. "Dini derivatives in optimization — Part II," Decisions in Economics and Finance, Springer, vol. 15(2), pages 3-24, September.
  16. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
  17. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
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