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Limited Computational Ability and Approximation of Dynamical Systems

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  • Domenico Colucci

    (University of Florence)

Abstract

This paper is devoted to the theoretical aspects of approximating dynamical systems and to some possible applications in economics. The approach presented here is based on the notion of the shadowing property of a dynamical system and on the use of pseudotrajectories to approximate true orbits. In particular, specific results in the case of attractors and the notion of generalized shadowing are reviewed. The final sections deal with economic applications and suggest a range of situations in which the type of bounded computational ability depicted here might be relevant.

Suggested Citation

  • Domenico Colucci, 1999. "Limited Computational Ability and Approximation of Dynamical Systems," Computing in Economics and Finance 1999 1142, Society for Computational Economics.
    • Handle: RePEc:sce:scecf9:1142
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    2. Roberto Samaniego, 2013. "Stages of Diversification and Industry Productivity Differences," 2013 Meeting Papers 774, Society for Economic Dynamics.

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