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Irreversible investment in oligopoly

Author

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  • Steg, Jan-Henrik

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We offer a new perspective on games of irreversible investment under uncertainty in continuous time. The basis is a particular approach to solve the involved stochastic optimal control problems which allows to establish existence and uniqueness of an oligopolistic open loop equilibrium in a very general framework without reliance on any Markovian property. It simultaneously induces quite natural economic interpretation and predictions by its characterization of optimal strategies through first order conditions. The construction of equilibrium policies is then enabled by a stochastic representation theorem. A stepwise specification of the general model leads to further economic conclusions. We obtain explicit solutions for Lévy processes.

Suggested Citation

  • Steg, Jan-Henrik, 2011. "Irreversible investment in oligopoly," Center for Mathematical Economics Working Papers 415, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:415
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    File URL: https://pub.uni-bielefeld.de/download/2316269/2319861
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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