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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. Michael H. Riordan, 1992. "Regulation and Preemptive Technology Adoption," RAND Journal of Economics, The RAND Corporation, vol. 23(3), pages 334-349, Autumn.
  2. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  3. 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.
  4. Dutta, P.K. & Rustichini, A., 1991. "A Theory of stopping Time Games with Applications to Product Innovations and Asset Sales," RCER Working Papers 263, University of Rochester - Center for Economic Research (RCER).
  5. Prajit K. Dutta & Saul Lach & Aldo Rustichini, 1993. "Better Late Than Early: Vertical Differentiation in the Adoption of a New Technology," NBER Working Papers 4473, National Bureau of Economic Research, Inc.
  6. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
  7. Reinganum, Jennifer F, 1981. "On the Diffusion of New Technology: A Game Theoretic Approach," Review of Economic Studies, Wiley Blackwell, vol. 48(3), pages 395-405, July.
  8. 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.
  9. Carolyn Pitchik, 1981. "Equilibria of a Two-Person Non-Zero Sum Noisy Game of Timing," Cowles Foundation Discussion Papers 579, Cowles Foundation for Research in Economics, Yale University.
  10. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
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