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Visualizing Multi-Dimensional Functions in Economics


  • Bill Goffe

    () (University of Southern Mississippi)


Economists frequently deal with multi-dimensional functions; obvious examples include statistical optimization and simulation of all but the simplest models. However, unlike their two-dimensional cousins, multi-dimensional functions are difficult or nearly impossible to visualize. While there is an established literature in the computer visualization field for multi-dimension functions, these methods require either specialized hardware (such as 3-D glasses), or complicated software, or are designed for specific functions. The multi- dimensional visualization method described here is suitable for most any function of relatively low dimension, does not require any specialized equipment, and is relatively simple to implement. With it, economists can fairly easily visualize the functions that they use and thus gain insight into their models. After describing the method, examples are given from the literature.

Suggested Citation

  • Bill Goffe, 1999. "Visualizing Multi-Dimensional Functions in Economics," Computing in Economics and Finance 1999 1334, Society for Computational Economics.
  • Handle: RePEc:sce:scecf9:1334

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    References listed on IDEAS

    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Gallant, A. Ronald & Tauchen, George, 1996. "Which Moments to Match?," Econometric Theory, Cambridge University Press, vol. 12(04), pages 657-681, October.
    3. Michaelides, Alexander & Ng, Serena, 2000. "Estimating the rational expectations model of speculative storage: A Monte Carlo comparison of three simulation estimators," Journal of Econometrics, Elsevier, vol. 96(2), pages 231-266, June.
    4. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 85-118, Suppl. De.
    5. Eric Ghysels & Lynda Khalaf & Cosmé Vodounou, 2003. "Simulation Based Inference In Moving Average Models," Annals of Economics and Statistics, GENES, issue 69, pages 85-99.
    6. repec:cup:etheor:v:12:y:1996:i:4:p:657-81 is not listed on IDEAS
    7. Chumacero Rómulo A., 1997. "Finite Sample Properties of the Efficient Method of Moments," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 2(2), pages 1-19, July.
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