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Markov–Perfect Nash Equilibria in Models With a Single Capital Stock (Revised version, March 2013)

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  • Dockner, E.J.

    (University of Vienna)

  • Wagener, F.O.O.

    ()
    (Universiteit van Amsterdam)

Abstract

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary as well as sufficient conditions that allow us to characterise Markov-perfect Nash equilibria for these games. These conditions can be translated into an auxiliary system of ordinary differential equations that helps us to explore stability, continuity and differentiability of these equilibria. The techniques are used to derive detailed properties of Markov-perfect Nash equilibria for several games including voluntary investment in a public capital stock, the inter-temporal consumption of a reproductive asset, and the pollution of a shallow lake.

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File URL: http://www1.fee.uva.nl/cendef/publications/papers/markov_preprint_03_2013.pdf
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Bibliographic Info

Paper provided by Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance in its series CeNDEF Working Papers with number 13-03.

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Date of creation: 2013
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Handle: RePEc:ams:ndfwpp:13-03

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Postal: Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands
Phone: + 31 20 525 52 58
Fax: + 31 20 525 52 83
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Web page: http://www.fee.uva.nl/cendef/
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  1. Ploeg, F. van der & Zeeuw, A.J. de, 1990. "International aspects of pollution control," Discussion Paper, Tilburg University, Center for Economic Research 1990-65, Tilburg University, Center for Economic Research.
  2. Colin Rowat, 2005. "Non-Linear Strategies in a Linear Quadratic Differential Game," Discussion Papers, Department of Economics, University of Birmingham 05-05, Department of Economics, University of Birmingham.
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