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Difference Equations

In: Mathematics and Methodology for Economics

Author

Listed:
  • Wolfgang Eichhorn

    (Karlsruhe Institute of Technology (KIT))

  • Winfried Gleißner

    (University of Applied Sciences Landshut)

Abstract

For many problems in economics it is more adequate to give them a discrete formulation than a continuous one. This leads to difference equations instead of differential equations. Their theories are quite similar. We discuss linear difference equations of first and second order and present some models: the growth model of Harrod, settlement of bond issues, distribution of wealth, and the multi-sector multiplier model. The chapter continues with systems of linear difference equations and finishes with nonlinear difference equations, which necessarily in most cases leads to a phenomenon, which is called chaos in mathematics.

Suggested Citation

  • Wolfgang Eichhorn & Winfried Gleißner, 2016. "Difference Equations," Springer Texts in Business and Economics, in: Mathematics and Methodology for Economics, edition 1, chapter 12, pages 565-596, Springer.
  • Handle: RePEc:spr:sptchp:978-3-319-23353-6_12
    DOI: 10.1007/978-3-319-23353-6_12
    as

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