Skip to main content

Interactive Vector Optimization as a Complement to Optimal Control in Econometric Models

  • Chapter
Developments of Control Theory for Economic Analysis

Part of the book series: Advanced Studies in Theoretical and Applied Econometrics ((ASTA,volume 7))

Abstract

The usefulness of econometric forecasting can be increased by taking these models as part of econometric decision models (= optimization models). The two most important approaches to econometric decision models are control theory and interactive vector optimization.

Gratefully acknowledged are many helpful discussions with Elke Petersen and Michael Olbrisch who are now working on the research projects briefly described in Sections 3 and 4 of this paper.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ancot, J. P and Hughes Hallet, A. J. (1983): The determination of collective preferences in economic decision models: With an application to Soviet economic policy. In: Gruber, J. (ed.) 1983, 263–304.

    Google Scholar 

  • Chow, G. (1975): Analysis and Control of Dynamic Economic Systems. John Wiley and Sons, New York, London.

    Google Scholar 

  • Chow, G. (1981): Econometric Analysis by Control Methods. John Wiley and Sons, New York, a.e.

    Google Scholar 

  • Feichtinger, G. (ed.) (1982): Optimal control theory and economic analysis. First Viennese workshop on economic applications of control theory held in Vienna, October 28–30, 1981. North-Holland, Amsterdam, New York, Oxford.

    Google Scholar 

  • Fox, K. A. Sengupta, J. K., and Thorbecke, E. (1966): The Theory of Quantitative Economic Policy with Applications to Economic Growth and Stabilization. North-Holland Publishing Company, Amsterdam (second edition 1973).

    Google Scholar 

  • Friedman, B. M. (1975): Economic Stabilization Policy. (Methods in optimization). North-Holland, Amsterdam.

    Google Scholar 

  • Geoffrion, A. M., Dyer, J. S. and Feinberg, A. (1972): An interactive approach for multi-criteria optimization, with an application to the operation of an academic department, Management Science 19, 357–368.

    Article  Google Scholar 

  • Grauer, M. (1983): A dynamic interactive decision analysis and support system (DIDASS). User’s guide (May 1983). System and Decision Sciences Program, International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria.

    Google Scholar 

  • Grauer, M., Lewandowski, A., and Wierzbicki, A. P. (eds.) (1982): Multiobjective and stochastic optimization. International Institute for Applied Systems Analysis Collaborative Proceedings Series 12, Laxenburg, Austria.

    Google Scholar 

  • Grauer, M., Lewandowski, A., and Wierzbicki, A. P. (eds.) (1982): Multiobjective and stochastic optimization. International Institute for Applied Systems Analysis Collaborative Proceedings Series 12, Laxenburg, Austria.

    Google Scholar 

  • Gruber, J. (1979): Approaches to determining the weights in the objective function of econometric decision models. Discussion Paper No. 35, Department of Economics, University of Hagen.

    Google Scholar 

  • Gruber, J. (ed.) (1983): Econometric decision models. Proceedings of a Conference at the University of Hagen, June 19–20, 1981. Lecture Notes in Economics and Mathematical Systems, Vol. 208, Springer-Verlag, Berlin, Heidelberg, New York.

    Google Scholar 

  • Gruber, J. (1983a): Flexible Inputgestaltung in Rosingers interaktivem Verfahren zur Entscheidung bei mehreren Zielen (Vektoroptimierung), Agrarwirtschaft (= Zeitschrift für Betriebswirtschaft, Marktforschung und Agrarpolitik), Vol. 32, 305–312.

    Google Scholar 

  • Hansen, P. (ed) (1983): Essays and survey on multiple criteria decision making. Lecture Notes in Economics and Mathematical Systems, Vol. 209, Springer Verlag, Berlin, Heidelberg, New York.

    Google Scholar 

  • Johansen, L. (1979): The report of the committee on policy optimization, UK. Journal of Economic Dynamics and Control 1, 101–109.

    Article  Google Scholar 

  • Kendrick, D. (1981) Stochastic Control for Economic Models. McGraw-Hill, New York.

    Google Scholar 

  • Kuhbier, P. (1981): Grundlagen der quantitativen Wirtschaftspolitik. Walter de Gruyter, Berlin, New York.

    Google Scholar 

  • Leontief, W. (1971): Theoretical assumptions and nonobserved facts. The American Economic Review 61, 1–7.

    Google Scholar 

  • Lewandowski, A. and Grauer, M. (1982): The reference point optimization approach — methods of efficient implementation. Working Paper WP-82-26, International Institute for Applied Systems Analysis, Laxenburg/Austria.

    Google Scholar 

  • Loon, P. van (1982): A dynamic theory of the firm: Production, finance and investment. Dissertation. Tilburg.

    Google Scholar 

  • Merkies, A. H. Q. M. and Nijman, Th. E. (1983): The measurement of quadratic preference functions with small samples. In: Gruber, J. (ed.) 1983, 242–262.

    Google Scholar 

  • Murata, Y. (1982): Optimal Control Methods for Linear Discrete-Time Economic Systems. Springer-Verlag, New York, Heidelberg, Berlin.

    Google Scholar 

  • Pau, L. F. (1979): Research on optimal control adapted to macro- and microeconomics. Journal of Economic Dynamics and Control 1, 243–269.

    Google Scholar 

  • Rosinger, E. E. (1981): Interactive algorithm for multiobjective optimization. Journal of Optimization Theory and Applications 35, 339–365.

    Article  Google Scholar 

  • Rosinger, E. E. (1982): Erratum. Journal of Optimization Theory and Applications 38, 147–148.

    Article  Google Scholar 

  • Shupp, F. R. (1979): Control theory and stabilization policy. A review of the report of the Committee on Policy Optimization. Journal of Economic Dynamics and Control 1, 111–116.

    Article  Google Scholar 

  • Streuff, H. (1983): Ein interaktives Verfahren der Vektoroptimierung angewandt auf ökonometrische Entscheidungsmodelle — Der Rosinger-Algorithmus: zur Theorie, seine programmtechnische Realisation, Aspekte seiner Anwendung. Haag und Herchen, Frankfurt.

    Google Scholar 

  • Streuff, H. and Gruber, J. (1983): The interactive multiobjective optimization method by Elemer E. Rosinger: a computer program and aspects of applications. In: Gruber, J. (ed.) 1983, 334–364.

    Google Scholar 

  • Szegö, G. P. (1982): Mathematical methods for economic analysis: a biased review. In: Szegö, G. P. (ed.) New Quantitative Techniques for Economic Analysis. Academic Press, New York, 3–17.

    Google Scholar 

  • Wierzbicki, A. P. (1980): The use of reference objectives in multiobjective optimization. In: Fandel, G. and Gal, T. (eds.), Multiple Criteria Decision Making, Theory and Application. (Proceedings, Hagen/Königswinter 1979). Lecture Notes in Economics and Mathematical Systems. Vol. 177. Springer-Verlag, Berlin, Heidelberg, 468–486.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Martinus Nijhoff Publishers, Dordrecht

About this chapter

Cite this chapter

Gruber, J. (1987). Interactive Vector Optimization as a Complement to Optimal Control in Econometric Models. In: Carraro, C., Sartore, D. (eds) Developments of Control Theory for Economic Analysis. Advanced Studies in Theoretical and Applied Econometrics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3495-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-3495-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8063-7

  • Online ISBN: 978-94-009-3495-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics