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Continuity, Discontinuity and Dynamics in Mathematics & Economics - Reconsidering Rosser's Visions

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  • K. Vela Velupillai
  • Stefano Zambelli

Abstract

Barkley Rosser has been a pioneer in arguing the case for the mathematics of discontinuity, broadly conceived, to be placed at the foundations of modelling economic dynamics. In this paper we reconsider this vision from the broad perspective of a variety of different kinds of mathematics and suggest a broadening of Rosser’s methodology to the study of economic dynamics

Suggested Citation

  • K. Vela Velupillai & Stefano Zambelli, 2011. "Continuity, Discontinuity and Dynamics in Mathematics & Economics - Reconsidering Rosser's Visions," ASSRU Discussion Papers 1111, ASSRU - Algorithmic Social Science Research Unit.
    • Handle: RePEc:trn:utwpas:1111
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    References listed on IDEAS

    as
    1. Samuelson, P. A., 1974. "Remembrances of Frisch," European Economic Review, Elsevier, vol. 5(1), pages 7-23, June.
    2. Charles R. Plott & Jared Smith, 1999. "Instability of Equilibria in Experimental Markets: Upward-Sloping Demands, Externalities, and Fad-Like Incentives," Southern Economic Journal, John Wiley & Sons, vol. 65(3), pages 405-426, January.
    3. Charles R. Plott & Jared Smith, 1999. "Instability of Equilibria in Experimental Markets: Upward-Sloping Demands, Externalities, and Fad-Like Incentives," Southern Economic Journal, Southern Economic Association, vol. 65(3), pages 405-426, January.
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    More about this item

    Keywords

    Continuity; Discontinuity; Economic Dynamics; Relaxation Oscillations;
    All these keywords.

    JEL classification:

    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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