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Blocking in a timing game with asymmetric players

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  • Smirnov, Vladimir
  • Wait, Andrew

Abstract

We examine innovation as a market-entry timing game with complete information and observable actions. We allow for heterogenous payoffs between players, and for a leader's payoff functions to be multi-peaked and non-monotonic. Assuming that the follower's payoff is non-increasing with the time of the leader's entry, we characterize all pure-strategy subgame perfect equilibria for the two-player asymmetric model, showing that there are at most two equilibria. Firm heterogeneity allows for equilibria with different characteristics than previously examined in the literature. For example, a fi rm may wish to enter earlier blocking its rival's entry, so as to avoid an anticipated lower future payoff if it waited. A notable feature of this blocking equilibrium is that rents need not be equalized between the leader and follower. We also show that if the followers' payoffs are non-monotonic, the iterative incentives to block each other's product launch may lead to starkly inefficient early entry in a continuous version of the centipede game.

Suggested Citation

  • Smirnov, Vladimir & Wait, Andrew, 2018. "Blocking in a timing game with asymmetric players," Working Papers 2018-05, University of Sydney, School of Economics, revised May 2019.
  • Handle: RePEc:syd:wpaper:2018-05
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    References listed on IDEAS

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    1. Francis Bloch & Simona Fabrizi & Steffen Lippert, 2015. "Learning and collusion in new markets with uncertain entry costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 273-303, February.
    2. Heidrun C. Hoppe & Ulrich Lehmann‐Grube, 2001. "Second‐Mover Advantages in Dynamic Quality Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(3), pages 419-433, September.
    3. Maria Alipranti & Chrysovalantou Miliou & Emmanuel Petrakis, 2014. "On Vertical Relations and Technology Adoption Timing," Working Papers 1502, University of Crete, Department of Economics.
    4. Dutta, Prajit K & Lach, Saul & Rustichini, Aldo, 1995. "Better Late Than Early: Vertical Differentiation in the Adoption of a New Technology," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(4), pages 563-589, Winter.
    5. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
    6. Fudenberg, Drew & Tirole, Jean, 1984. "The Fat-Cat Effect, the Puppy-Dog Ploy, and the Lean and Hungry Look," American Economic Review, American Economic Association, vol. 74(2), pages 361-366, May.
    7. Milliou, Chrysovalantou & Petrakis, Emmanuel, 2011. "Timing of technology adoption and product market competition," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 513-523, September.
    8. Glenn Ellison & Sara Fisher Ellison, 2011. "Strategic Entry Deterrence and the Behavior of Pharmaceutical Incumbents Prior to Patent Expiration," American Economic Journal: Microeconomics, American Economic Association, vol. 3(1), pages 1-36, February.
    9. 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, April.
    10. , & ,, 2008. "Caller Number Five and related timing games," Theoretical Economics, Econometric Society, vol. 3(2), June.
    11. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2015. "On vertical relations and the timing of technology adoption," Journal of Economic Behavior & Organization, Elsevier, vol. 120(C), pages 117-129.
    12. Katz, Michael L & Shapiro, Carl, 1987. "R&D Rivalry with Licensing or Imitation," American Economic Review, American Economic Association, vol. 77(3), pages 402-420, June.
    13. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
    14. 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.
    15. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    16. Michael H. Riordan, 1992. "Regulation and Preemptive Technology Adoption," RAND Journal of Economics, The RAND Corporation, vol. 23(3), pages 334-349, Autumn.
    17. Argenziano, Rossella & Schmidt-Dengler, Philipp, 2013. "Competition, timing of entry and welfare in a preemption game," Economics Letters, Elsevier, vol. 120(3), pages 509-512.
    18. Argenziano, Rossella & Schmidt-Dengler, Philipp, 2012. "Inefficient entry order in preemption games," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 445-460.
    19. Alberto Galasso & Mihkel Tombak, 2014. "Switching to Green: The Timing of Socially Responsible Innovation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(3), pages 669-691, September.
    20. 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.
    21. Van Long Ngo, 2010. "A Survey of Dynamic Games in Economics," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7577, August.
    22. Smirnov Vladimir & Wait Andrew, 2007. "Staged Financing with a Variable Return," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-28, February.
    23. Philipp Schmidt-Dengler, 2006. "The Timing of New Technology Adoption: The Case of MRI," 2006 Meeting Papers 3, Society for Economic Dynamics.
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    Keywords

    timing games; blocking entry; innovation.;
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