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Clustering In N-Player Preemption Games

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  • Rossella Argenziano
  • Philipp Schmidt-Dengler

Abstract

We study a complete information preemption game in continuous time. A finite number of firms decide when to make an irreversible, observable investment. Upon investment, a firm receives flow profits, which decrease in the number of firms that have invested. The cost of investment declines over time exogenously. We characterize the subgame-perfect equilibrium outcome, which is unique up to a permutation of players. When the preemption race among late investors is sufficiently intense, the preemption incentive for earlier investors disappears, and two or more investments occur at the same time. We identify a sufficient condition in terms of model parameters: clustering of investments occurs if the flow profits from consecutive investments are sufficiently close. This shows how clustering can occur in the absence of coordination failures, informational spillovers, or positive payoff externalities.

Suggested Citation

  • 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.
  • Handle: RePEc:bla:jeurec:v:12:y:2014:i:2:p:368-396
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    File URL: http://hdl.handle.net/10.1111/jeea.12054
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    Cited by:

    1. Guy Meunier & Jean-Pierre Ponssard & Francisco Ruiz-Alizeda, 2015. "Antitrust Versus Industrial Policies, Entry And Welfare," Working Papers hal-01117091, HAL.
    2. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    3. Barbos, Andrei, 2013. "De-synchronized clocks in preemption games with risky prospects," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 203-216.
    4. Pavan, Giulia & Pozzi, Andrea & Rovigatti, Gabriele, 2017. "Strategic Entry and Potential Competition: Evidence from Compressed Gas Fuel Retail," CEPR Discussion Papers 12113, C.E.P.R. Discussion Papers.
    5. 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.

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