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Inefficient entry order in preemption games

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  • Argenziano, Rossella
  • Schmidt-Dengler, Philipp

Abstract

In a preemption game, players decide when to take an irreversible action. Delaying the action exogenously increases payoffs, but there is an early mover advantage. Riordan (1992) shows that in a preemption game with two asymmetric players, players act in decreasing order of efficiency. This provides a microfoundation to the assumption that entry in a market occurs in the order of profitability, commonly used in the empirical analysis of market entry. We provide a counterexample showing that with more than two players this intuitive result can be reversed. We present a preemption game of entry into a new market. The potential entrants are three asymmetric firms: one “efficient” firm with high post-entry profits, and two “inefficient firms”. We show that the set of parameters such that the equilibrium entry order does not reflect the efficiency ranking is nonempty, and analyse which changes in post-entry profits preserve this entry order.

Suggested Citation

  • Argenziano, Rossella & Schmidt-Dengler, Philipp, 2012. "Inefficient entry order in preemption games," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 445-460.
    • Handle: RePEc:eee:mateco:v:48:y:2012:i:6:p:445-460
    DOI: 10.1016/j.jmateco.2012.08.007
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    1. Alexander Matros & Vladimir Smirnov & Andrew Wait, 2024. "Sunk costs, entry and clustering," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 747-782, May.
    2. Francesco Sinopoli & Christopher Künstler & Claudia Meroni & Carlos Pimienta, 2023. "Poisson–Cournot games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 803-840, April.
      • Francesco De Sinopoli & Christopher Kunstler & Claudia Meroni & Carlos Pimienta, 2020. "Poisson-Cournot Games," Discussion Papers 2020-07, School of Economics, The University of New South Wales.
    3. Smirnov, Vladimir & Wait, Andrew, 2021. "Preemption with a second-mover advantage," Games and Economic Behavior, Elsevier, vol. 129(C), pages 294-309.
    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. 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).
    6. 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.
    7. 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.
    8. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    9. Hattori, Keisuke & Yamada, Mai, 2020. "Welfare Implications of Sequential Entry with Heterogeneous Firms," MPRA Paper 103422, University Library of Munich, Germany.
    10. 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.
    11. 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.

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