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Continuous-time Games of Timing

  • Rida Laraki
  • Eilon Solan
  • Nicolas Vieille

We address the question of existence of equilibrium in general timing games of complete information. Under weak assumptions, any two-player timing game has a subgame perfect e-equilibrium, for each e > 0. This result is tight. For some classes of games (symmetric games, games with cumulative payoffs), stronger existence results are established.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1363.

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Date of creation: Feb 2003
Date of revision:
Handle: RePEc:nwu:cmsems:1363
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  1. Jeremy I. Bulow & Paul Klemperer, 1996. "The Generalized War of Attrition," Cowles Foundation Discussion Papers 1142, Cowles Foundation for Research in Economics, Yale University.
  2. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-60, July.
  3. VIEILLE, Nicolas & SOLAN, Eilon, 2001. "Stopping games: recent results," Les Cahiers de Recherche 744, HEC Paris.
  4. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
  5. J. Maynard Smith, 2010. "The Theory of Games and Evolution of Animal Conflicts," Levine's Working Paper Archive 448, David K. Levine.
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  7. Bilodeau, Marc & Slivinski, Al, 1996. "Toilet cleaning and department chairing: Volunteering a public service," Journal of Public Economics, Elsevier, vol. 59(2), pages 299-308, February.
  8. Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
  9. Drew Fudenberg & David K. Levine, 1986. "Limit Games and Limit Equilibria," Levine's Working Paper Archive 220, David K. Levine.
  10. Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
  11. Leo K. Simon and Maxwell B. Stinchcombe., 1987. "Extensive Form Games in Continuous Time: Pure Strategies," Economics Working Papers 8746, University of California at Berkeley.
  12. repec:bla:restud:v:52:y:1985:i:3:p:383-401 is not listed on IDEAS
  13. Hendricks, Kenneth & Weiss, Andrew & Wilson, Charles, 1987. "The War of Attrition in Continuous Time with Complete Information," Working Papers 87-03, C.V. Starr Center for Applied Economics, New York University.
  14. Fine, Charles H. & Li, Lode, 1989. "Equilibrium exit in stochastically declining industries," Games and Economic Behavior, Elsevier, vol. 1(1), pages 40-59, March.
  15. Roger B. Myerson, 1984. "Multistage Games with Communication," Discussion Papers 590, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  16. Perry Motty & Reny Philip J., 1993. "A Non-cooperative Bargaining Model with Strategically Timed Offers," Journal of Economic Theory, Elsevier, vol. 59(1), pages 50-77, February.
  17. Bergin, James & MacLeod, W Bentley, 1993. "Continuous Time Repeated Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 21-37, February.
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