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Continuous-Time Games of Timing

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Author Info
Nicolas, VIEILLE ()
Rida, LARAKI () (Laboratoire d'Econométrie de l'Ecole Polytechnique)
Eilon, SOLAN () (Kellog School of Management)

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Abstract

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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Publisher Info
Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 773.

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Length: 36 pages
Date of creation: 03 Jan 2003
Date of revision:
Handle: RePEc:ebg:heccah:0773

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Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
Web page: http://www.hec.fr/
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Related research
Keywords: Timing games; war of attrition; preemption games; subgame perfect equilibrium;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April. [Downloadable!] (restricted)
  2. VIEILLE, Nicolas & SOLAN, Eilon, 2001. "Stopping games: recent results," Les Cahiers de Recherche 744, HEC Paris. [Downloadable!]
    Other versions:
  3. James Bergin, 1989. "A Model of Strategic Behaviour in Repeated Games," Working Papers 751, Queen's University, Department of Economics.
    Other versions:
  4. Hendricks, Ken & Weiss, Andrew & Wilson, Charles A, 1988. "The War of Attrition in Continuous Time with Complete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 663-80, November. [Downloadable!] (restricted)
    Other versions:
  5. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," Game Theory and Information 9901004, EconWPA. [Downloadable!]
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  6. 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.
  7. Fudenberg, Drew & Levine, David, 1986. "Limit games and limit equilibria," Journal of Economic Theory, Elsevier, vol. 38(2), pages 261-279, April. [Downloadable!] (restricted)
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  8. Fudenberg, Drew & Tirole, Jean, 1985. "Preemption and Rent Equilization in the Adoption of New Technology," Review of Economic Studies, Blackwell Publishing, vol. 52(3), pages 383-401, July. [Downloadable!] (restricted)
  9. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-60, July. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
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  11. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October. [Downloadable!] (restricted)
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  12. 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. [Downloadable!] (restricted)
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  13. Fine, Charles H. & Li, Lode, 1989. "Equilibrium exit in stochastically declining industries," Games and Economic Behavior, Elsevier, vol. 1(1), pages 40-59, March. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Aureo de Paula, 2004. "Social Interactions in a Synchronization Game," Econometric Society 2004 Latin American Meetings 277, Econometric Society. [Downloadable!]
  2. Wilko Bolt & Kimmo Soramäki, 2008. "Competition, bargaining power and pricing in two-sided markets," DNB Working Papers 181, Netherlands Central Bank, Research Department. [Downloadable!]
  3. Andreas Park & Lones Smith, 2008. "Caller Number Five and Related Timing Games," Working Papers tecipa-317, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  4. Gonzalez-Diaz, J. & Borm, P.E.M. & Norde, H.W., 2004. "A silent battle over a cake," Discussion Paper 119, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
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