Quick or Persistent? Strategic Investment Demanding Versatility

Steg J-H, Thijssen J (2015) Center for Mathematical Economics Working Papers; 541.
Bielefeld: Center for Mathematical Economics.

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In this paper we analyse a dynamic model of investment under uncertainty in a duopoly, in which each firm has an option to switch from the present market to a new market. We construct a subgame perfect equilibrium in mixed strategies and show that both preemption and attrition can occur along typical equilibrium paths. In order to determine the attrition region a two-dimensional constrained optimal stopping problem needs to be solved, for which we characterize the non-trivial stopping boundary in the state space. We explicitly determine Markovian equilibrium stopping rates in the attrition region and show that there is always a positive probability of eventual preemption, contrasting the deterministic version of the model. A simulation-based numerical example illustrates the model and shows the relative likelihoods of investment taking place in attrition and preemption regions.
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Steg J-H, Thijssen J. Quick or Persistent? Strategic Investment Demanding Versatility. Center for Mathematical Economics Working Papers. Vol 541. Bielefeld: Center for Mathematical Economics; 2015.
Steg, J. - H., & Thijssen, J. (2015). Quick or Persistent? Strategic Investment Demanding Versatility (Center for Mathematical Economics Working Papers, 541). Bielefeld: Center for Mathematical Economics.
Steg, J. - H., and Thijssen, J. (2015). Quick or Persistent? Strategic Investment Demanding Versatility. Center for Mathematical Economics Working Papers, 541, Bielefeld: Center for Mathematical Economics.
Steg, J.-H., & Thijssen, J., 2015. Quick or Persistent? Strategic Investment Demanding Versatility, Center for Mathematical Economics Working Papers, no.541, Bielefeld: Center for Mathematical Economics.
J.-H. Steg and J. Thijssen, Quick or Persistent? Strategic Investment Demanding Versatility, Center for Mathematical Economics Working Papers, vol. 541, Bielefeld: Center for Mathematical Economics, 2015.
Steg, J.-H., Thijssen, J.: Quick or Persistent? Strategic Investment Demanding Versatility. Center for Mathematical Economics Working Papers, 541. Center for Mathematical Economics, Bielefeld (2015).
Steg, Jan-Henrik, and Thijssen, Jacco. Quick or Persistent? Strategic Investment Demanding Versatility. Bielefeld: Center for Mathematical Economics, 2015. Center for Mathematical Economics Working Papers. 541.
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