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Turnpike Properties in a Finite-Horizon Differential Game: Dynamic Duopoly with Sticky Prices

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Author Info
Fershtman, Chaim
Kamien, Morton I

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Abstract

The authors study the equilibrium price paths of a finite-horizon dynamic duopoly model in which the market price does not have to adjust instantaneously in response to changes in the quantity supplied. A complete analysis of the feedback Nash equilibrium of a finite-horizon linear quadratic differential game with a control constraint is presented. Two equilibrium price paths are identified and it is shown that they both remain close to the infinite-horizon, globally asymptotically stable, stationary equilibrium except for some initial and final time. Copyright 1990 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Publisher Info
Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 31 (1990)
Issue (Month): 1 (February)
Pages: 49-60
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Handle: RePEc:ier:iecrev:v:31:y:1990:i:1:p:49-60

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Brock, William A. & Scheinkman, JoseA., 1976. "Global asymptotic stability of optimal control systems with applications to the theory of economic growth," Journal of Economic Theory, Elsevier, vol. 12(1), pages 164-190, February. [Downloadable!] (restricted)
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  2. David Cass, 1964. "Optimum Economic Growth in an Aggregative Model of Capital Accumulation: A Turnpike Theorem," Cowles Foundation Discussion Papers 178, Cowles Foundation, Yale University. [Downloadable!]
  3. Fershtman, Chaim & Muller, Eitan, 1986. "Turnpike properties of capital accumulation games," Journal of Economic Theory, Elsevier, vol. 38(1), pages 167-177, February. [Downloadable!] (restricted)
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  4. Reynolds, Stanley S, 1987. "Capacity Investment, Preemption and Commitment in an Infinite Horizon Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 69-88, February. [Downloadable!] (restricted)
  5. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-64, September. [Downloadable!] (restricted)
  6. Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Robert A. Driskill, 2002. "A Proposal for a Selection Criterion in a Class of Dynamic Rational Expectations Models with Multiple Equilibria," Working Papers 0210, Department of Economics, Vanderbilt University. [Downloadable!]
  2. R. Cellini & L. Lambertini, 2004. "Workers' Enterprises Are Not Perverse: Differential Oligopoly Games with Sticky Price," Working Papers 531, Dipartimento Scienze Economiche, Universita' di Bologna. [Downloadable!]
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