An approximate dynamic programming approach to solving dynamic oligopoly models.

In this article, we introduce a new method to approximate Markov perfect equilibrium in large-scale Ericson and Pakes (1995)-style dynamic oligopoly models that are not amenable to exact solution due to the curse of dimensionality. The method is based on an algorithm that iterates an approximate bes...

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Publicado en:RAND Journal of Economics (Wiley-Blackwell) Vol. 43; no. 2; pp. 253 - 283
Autores principales: Farias, Vivek, Saure, Denis, Weintraub, Gabriel Y.
Formato: Artículo
Publicado: Wiley-Blackwell Summer2012
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Acceso en línea:Ver este registro en EBSCOhost
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        10.1111/j.1756-2171.2012.00165.x
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        atl: An approximate dynamic programming approach to solving dynamic oligopoly models.
      aug:
        au:
          Farias, Vivek
          Saure, Denis
          Weintraub, Gabriel Y.
        affil:
          Massachusetts Institute of Technology; .
          University of Pittsburgh; .
          Columbia University; .
      su:
        Oligopolies
        Dynamic programming
        Mathematical models
        Algorithms
        Approximation theory
        Dimension reduction (Statistics)
        Mathematical functions
      sug:
        subj:
          Oligopolies
          Dynamic programming
          Mathematical models
          Algorithms
          Approximation theory
          Dimension reduction (Statistics)
          Mathematical functions
      ab: In this article, we introduce a new method to approximate Markov perfect equilibrium in large-scale Ericson and Pakes (1995)-style dynamic oligopoly models that are not amenable to exact solution due to the curse of dimensionality. The method is based on an algorithm that iterates an approximate best response operator using an approximate dynamic programming approach. The method, based on mathematical programming, approximates the value function with a linear combination of basis functions. We provide results that lend theoretical support to our approach. We introduce a rich yet tractable set of basis functions, and test our method on important classes of models. Our results suggest that the approach we propose significantly expands the set of dynamic oligopoly models that can be analyzed computationally.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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