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Discrete Time or Continuous Time, That is the Question: the Case of Samuelson’s Multiplier-Accelerator Model

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  • Luo, Yinghao

Abstract

A basic problem in economic dynamics is the choice of continuous-time or discrete-time in mathematical modeling. In this paper, we study the continuous-time Samuelson’s multiplier-accelerator model and compare this continuous-time model with its classical discrete-time model. We find that time scales have an influence on the perfect symmetry of periodic motion.

Suggested Citation

  • Luo, Yinghao, 1998. "Discrete Time or Continuous Time, That is the Question: the Case of Samuelson’s Multiplier-Accelerator Model," MPRA Paper 74493, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:74493
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    Keywords

    Samuelson’s multiplier-accelerator model; time scales; perfect symmetry;
    All these keywords.

    JEL classification:

    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • H5 - Public Economics - - National Government Expenditures and Related Policies

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