IDEAS home Printed from https://ideas.repec.org/p/syd/wpaper/2123-9340.html
   My bibliography  Save this paper

Innovation in a generalized timing game

Author

Listed:
  • Smirnov, Vladimir
  • Wait, Andrew

Abstract

We examine innovation as a market-entry timing game with complete information and observable actions. We characterize all pure-strategy subgame perfect equilibria for the two-player symmetric model allowing both the leader's and the followers' payoff functions to be multi-peaked, non-monotonic and discontinuous. We provide sufficient conditions for when the equilibria can be Pareto ranked and when the equilibrium is unique. Economic applications discussed include process and product innovation and the timing of the sale of an asset.

Suggested Citation

  • Smirnov, Vladimir & Wait, Andrew, 2013. "Innovation in a generalized timing game," Working Papers 2013-16, University of Sydney, School of Economics, revised Mar 2015.
  • Handle: RePEc:syd:wpaper:2123/9340
    as

    Download full text from publisher

    File URL: http://econ-wpseries.com/2013/201316-2.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dutta, Prajit K & Rustichini, Aldo, 1993. "A Theory of Stopping Time Games with Applications to Product Innovations and Asset Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 743-763, October.
    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. 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.
    4. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
    5. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    6. 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.
    7. Jennifer F. Reinganum, 1981. "On the Diffusion of New Technology: A Game Theoretic Approach," Review of Economic Studies, Oxford University Press, vol. 48(3), pages 395-405.
    8. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    9. Jennifer F. Reinganum, 1981. "Market Structure and the Diffusion of New Technology," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 618-624, Autumn.
    10. , & ,, 2008. "Caller Number Five and related timing games," Theoretical Economics, Econometric Society, vol. 3(2), June.
    11. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    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," Review of Economic Studies, Oxford University Press, vol. 52(3), pages 383-401.
    14. Romer, Paul, 1994. "New goods, old theory, and the welfare costs of trade restrictions," Journal of Development Economics, Elsevier, vol. 43(1), pages 5-38, February.
    15. 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.
    16. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    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. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
    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. Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 1-18, January.
    22. Van Long Ngo, 2010. "A Survey of Dynamic Games in Economics," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7577.
    23. Hugo A. Hopenhayn & Francesco Squintani, 2011. "Preemption Games with Private Information," Review of Economic Studies, Oxford University Press, vol. 78(2), pages 667-692.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Smirnov, Vladimir & Wait, Andrew, 2021. "Preemption with a second-mover advantage," Games and Economic Behavior, Elsevier, vol. 129(C), pages 294-309.
    2. Steg, Jan-Henrik, 2022. "On identifying subgame-perfect equilibrium outcomes for timing games," Games and Economic Behavior, Elsevier, vol. 135(C), pages 74-78.
    3. Omolbanin Jalali & Zahra Nasrollahi & Madjid Hatefi Madjumerd, 2019. "An Experimental Study of Incentive Reversal in Sequential and Simultaneous Games," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 23(3), pages 639-658, Summer.
    4. Dawid, Herbert & Muehlheusser, Gerd, 2022. "Smart products: Liability, investments in product safety, and the timing of market introduction," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    5. Smirnov, Vladimir & Wait, Andrew & Xu, Rong, 2018. "Timing of entry with heterogeneous firms," Working Papers 2018-11, University of Sydney, School of Economics.
    6. Wang, Rong-Kuan & Hu, Die, 2017. "Time-cost substitutability, earlycutting threat, and innovation timing," Economics Letters, Elsevier, vol. 156(C), pages 88-91.
    7. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Smirnov, Vladimir & Wait, Andrew, 2021. "Preemption with a second-mover advantage," Games and Economic Behavior, Elsevier, vol. 129(C), pages 294-309.
    2. 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.
    3. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    4. Smirnov, Vladimir & Wait, Andrew & Xu, Rong, 2018. "Timing of entry with heterogeneous firms," Working Papers 2018-11, University of Sydney, School of Economics.
    5. 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.
    6. 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, 04.
    7. Sun Chia-Hung, 2020. "Timing of Adopting a Flexible Manufacturing System and Product Differentiation," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 20(2), pages 1-17, April.
    8. Bobtcheff, Catherine & Mariotti, Thomas & Levy, Raphaël, 2021. "Negative results in science: Blessing or (winner’s) curse," TSE Working Papers 21-1202, Toulouse School of Economics (TSE).
    9. 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.
    10. Ruiz-Aliseda, Francisco, 2016. "Preemptive investments under uncertainty, credibility and first mover advantages," International Journal of Industrial Organization, Elsevier, vol. 44(C), pages 123-137.
    11. Matros, Alexander & Smirnov, Vladimir & Wait, Andrew, 2021. "Sunk costs, entry and clustering," Working Papers 2021-11, University of Sydney, School of Economics, revised Jan 2024.
    12. Argenziano, Rossella & Schmidt-Dengler, Philipp, 2012. "Inefficient entry order in preemption games," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 445-460.
    13. Prajit K. Dutta & Saul Lach & Aldo Rustichini, 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, December.
    14. Pavan, Giulia & Pozzi, Andrea & Rovigatti, Gabriele, 2020. "Strategic entry and potential competition: Evidence from compressed gas fuel retail," International Journal of Industrial Organization, Elsevier, vol. 69(C).
    15. Hoppe, Heidrun C., 2000. "Second-mover advantages in the strategic adoption of new technology under uncertainty," International Journal of Industrial Organization, Elsevier, vol. 18(2), pages 315-338, February.
    16. 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.
    17. Peter M. Kort & Ruslan Lukach & Joseph Plasmans, 2007. "Strategic R&D with Knowledge Spillovers and Endogenous Time to Complete," CESifo Working Paper Series 2027, CESifo.
    18. Sun, Chia-Hung, 2023. "Timing of technology adoption in the presence of patent licensing," Economic Modelling, Elsevier, vol. 127(C).
    19. 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.
    20. repec:esx:essedp:741 is not listed on IDEAS
    21. Femminis Gianluca & Martini Gianmaria, 2010. "First-Mover Advantage in a Dynamic Duopoly with Spillover," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-46, November.

    More about this item

    Keywords

    product innovation; process innovation; follower; leader; entry; timing games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:syd:wpaper:2123/9340. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Vanessa Holcombe (email available below). General contact details of provider: https://edirc.repec.org/data/deusyau.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.