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Equilibria in Continuous Time Preemption Games with Markovian Payoffs

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  • Jacco J.J. Thijssen

Abstract

This paper studies timing games in continuous time where payoffs are stochastic and strongly Markovian. The main interest is in characterizing equilibria where players preempt each other along almost every sample path. It is found that the existence of such preemption equilibria depends crucially on whether there is a coordination mechanism that allows for rent equalization or not, and whether the stochastic payoffs admit upward jumps. Through numerical examples it is argued that the possibility of such coordination improves social welfare and that the welfare loss due to preemption decreases in uncertainty.

Suggested Citation

  • Jacco J.J. Thijssen, "undated". "Equilibria in Continuous Time Preemption Games with Markovian Payoffs," Discussion Papers 11/17, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:11/17
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    References listed on IDEAS

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    1. Thijssen, Jacco J.J. & Huisman, Kuno J.M. & Kort, Peter M., 2012. "Symmetric equilibrium strategies in game theoretic real option models," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 219-225.
    2. Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 729-747.
    3. Boyarchenko, Svetlana & Levendorskiĭ, Sergei, 2014. "Preemption games under Lévy uncertainty," Games and Economic Behavior, Elsevier, vol. 88(C), pages 354-380.
    4. Pauli Murto, 2004. "Exit in Duopoly Under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 111-127, Spring.
    5. Mason, Robin & Weeds, Helen, 2010. "Investment, uncertainty and pre-emption," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 278-287, May.
    6. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    7. Grzegorz Pawlina & Peter M. Kort, 2010. "Strategic Quality Choice Under Uncertainty: A Real Options Approach," Manchester School, University of Manchester, vol. 78(1), pages 1-19, January.
    8. 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.
    9. Richard A. Posner, 1975. "The Social Costs of Monopoly and Regulation," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 45-65, Springer.
    10. Thijssen, Jacco J.J., 2010. "Preemption in a real option game with a first mover advantage and player-specific uncertainty," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2448-2462, November.
    11. Boyer, Marcel & Lasserre, Pierre & Mariotti, Thomas & Moreaux, Michel, 2004. "Preemption and rent dissipation under price competition," International Journal of Industrial Organization, Elsevier, vol. 22(3), pages 309-328, March.
    12. Grzegorz Pawlina & Peter M. Kort, 2006. "Real Options in an Asymmetric Duopoly: Who Benefits from Your Competitive Disadvantage?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 1-35, March.
    13. Roques, Fabien A. & Savva, Nicos, 2009. "Investment under uncertainty with price ceilings in oligopolies," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 507-524, February.
    14. Luis Alvarez & Teppo Rakkolainen, 2010. "Investment timing in presence of downside risk: a certainty equivalent characterization," Annals of Finance, Springer, vol. 6(3), pages 317-333, July.
    15. Dutta Prajit K. & Rustichini Aldo, 1995. "(s, S) Equilibria in Stochastic Games," Journal of Economic Theory, Elsevier, vol. 67(1), pages 1-39, October.
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    Cited by:

    1. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2014. "Innovation and imitation incentives in dynamic duopoly," MPRA Paper 59453, University Library of Munich, Germany.
    2. M. R. Grasselli & V. Leclère & M. Ludkovski, 2013. "Priority Option: The Value Of Being A Leader," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-37.
    3. Chi Man Leung & Yue Kuen Kwok, 2016. "Real options game models of R&D competition between asymmetric firms with spillovers," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 259-291, November.

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    More about this item

    Keywords

    Timing Games; Real Options; Preemption;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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