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Sunk costs, entry and clustering

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  • Matros, Alexander
  • Smirnov, Vladimir
  • Wait, Andrew

Abstract

We examine how differences in fi rm sunk entry costs affect both entry order and the potential for clustering in a triopoly preemption game. If the cost asymmetry between the fi rms is sufficiently large, the fi rms always enter in the order from the lowest to highest cost, whereas if fi rms are relatively symmetric, it is possible that the second-highest cost firm enters first. There is never clustering of entry when there is any difference in cost between the two most productively efficient firms. Lastly, when the cost asymmetry between fi rms is large, the leader's entry time in the triopoly is always earlier than it is in a duopoly.

Suggested Citation

  • 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.
  • Handle: RePEc:syd:wpaper:2021-11
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    1. Sunyoung Ko & Takashi Shibata, 2012. "Strategic Investment with Three Asymmetric Firms," World Scientific Book Chapters, in: Akihiko Takahashi & Yukio Muromachi & Hidetaka Nakaoka (ed.), Recent Advances In Financial Engineering 2011, chapter 6, pages 97-110, World Scientific Publishing Co. Pte. Ltd..
    2. 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.
    3. Amihai Glazer & Refael Hassin & Liron Ravner, 2018. "A strategic model of job arrivals to a single machine with earliness and tardiness penalties," IISE Transactions, Taylor & Francis Journals, vol. 50(4), pages 265-278, April.
    4. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    5. 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.
    6. Hendricks, Kenneth, 1992. "Reputations in the adoption of a new technology," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 663-677, December.
    7. Berry, Steven T, 1992. "Estimation of a Model of Entry in the Airline Industry," Econometrica, Econometric Society, vol. 60(4), pages 889-917, July.
    8. repec:dau:papers:123456789/12655 is not listed on IDEAS
    9. Sanghamitra Das & Mark J. Roberts & James R. Tybout, 2007. "Market Entry Costs, Producer Heterogeneity, and Export Dynamics," Econometrica, Econometric Society, vol. 75(3), pages 837-873, May.
    10. Smirnov, Vladimir & Wait, Andrew, 2021. "Preemption with a second-mover advantage," Games and Economic Behavior, Elsevier, vol. 129(C), pages 294-309.
    11. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    12. Huberts, N.F.D. & Dawid, H. & Huisman, K.J.M. & Kort, P.M., 2019. "Entry deterrence by timing rather than overinvestment in a strategic real options framework," European Journal of Operational Research, Elsevier, vol. 274(1), pages 165-185.
    13. Bloch, Francis & Fabrizi, Simona & Lippert, Steffen, 2022. "Hiding and herding in market entry," Journal of Economic Theory, Elsevier, vol. 206(C).
    14. Bouis, Romain & Huisman, Kuno J.M. & Kort, Peter M., 2009. "Investment in oligopoly under uncertainty: The accordion effect," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 320-331, March.
    15. 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.
    16. Jennifer F. Reinganum, 1981. "On the Diffusion of New Technology: A Game Theoretic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 395-405.
    17. 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.
    18. Chad Syverson, 2004. "Product Substitutability and Productivity Dispersion," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 534-550, May.
    19. 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.
    20. 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.
    21. 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.
    22. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    23. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    24. Michael H. Riordan, 1992. "Regulation and Preemptive Technology Adoption," RAND Journal of Economics, The RAND Corporation, vol. 23(3), pages 334-349, Autumn.
    25. 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.
    26. Argenziano, Rossella & Schmidt-Dengler, Philipp, 2012. "Inefficient entry order in preemption games," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 445-460.
    27. Steg, Jan-Henrik, 2018. "Preemptive investment under uncertainty," Games and Economic Behavior, Elsevier, vol. 110(C), pages 90-119.
    28. repec:spo:wpmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    29. Andreas Moxnes, 2010. "Are sunk costs in exporting country specific?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(2), pages 467-493, May.
    30. 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.
    31. Eleonora Fichera & Yevgeniya Shevtsova, 2020. "Sunk exporting costs and export market coverage," Manchester School, University of Manchester, vol. 88(4), pages 599-616, July.
    32. Vicky Henderson & David Hobson & Matthew Zeng, 2023. "Cautious stochastic choice, optimal stopping and deliberate randomization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 887-922, April.
    33. Hugo A. Hopenhayn & Francesco Squintani, 2011. "Preemption Games with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 667-692.
    34. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    35. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    36. 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).
    37. N. Gregory Mankiw & Michael D. Whinston, 1986. "Free Entry and Social Inefficiency," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 48-58, Spring.
    38. Vladimir Smirnov & Andrew Wait, 2022. "General timing games with multiple players," Working Papers 2022-02, University of Sydney, School of Economics.
    39. Roberts, Mark J & Tybout, James R, 1997. "The Decision to Export in Colombia: An Empirical Model of Entry with Sunk Costs," American Economic Review, American Economic Association, vol. 87(4), pages 545-564, September.
    40. Jianbo Zhang, 1997. "Strategic Delay and the Onset of Investment Cascades," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 188-205, Spring.
    41. Shibata, Takashi, 2016. "Strategic entry in a triopoly market of firms with asymmetric cost structures," European Journal of Operational Research, Elsevier, vol. 249(2), pages 728-739.
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    Cited by:

    1. Bloch, Francis & Fabrizi, Simona & Lippert, Steffen, 2022. "Hiding and herding in market entry," Journal of Economic Theory, Elsevier, vol. 206(C).

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    More about this item

    Keywords

    timing games; asymmetric firms; clustering; inefficient entry;
    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

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