Skip to main content
SpringerLink
Log in

Taxes and subsidies in the interregional input-output system; Some properties of the inverse of an M-matrix

  • Input-Output Analysis
  • Seventh Pacific Conference of the Regional Science Association
  • Published:
Papers of the Regional Science Association

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Atsumi, H. 1981. Taxes and subsidies in the input-output model.Querterly Journal of Economics 96: 27–45.

    Google Scholar 

  • Chenery, H. B. 1956. Interregional and international input-output analysis. InThe Structural Interdependence of the Economy, ed. T. Barna, pp. 341–356. New York: John Wiley & Sons, Inc.

    Google Scholar 

  • Hawkins, D., and Simon, H. A. 1949. Some conditions of macroeconomic stability.Econometrica 7: 245–248.

    Google Scholar 

  • Isard, W. 1951. Interregional and regional input-output analysis: a model of a space economy.Review of Economics & Statistics 33: 318–328.

    Google Scholar 

  • Kemp, M. C. and Kimura, Y. 1978.Introduction to Mathematical Economics. New York: Springer-Verlag.

    Google Scholar 

  • Kimura, Y. 1981. Some properties of the inverse of an M-matrix and their application to an interregional input-output system.Oikonomika 18: 1–18.

    Google Scholar 

  • Metzler, L. A. 1950. A multiple-region theory of income and trade.Econometrica 18: 329–354.

    Google Scholar 

  • Metzler, L. A. 1951a. A multiple-country theory of income transfer.The Journal of Political Economy 59: 14–29.

    Google Scholar 

  • Metzler, L. A. 1951b. Taxes and subsidies in Leontief's input-output model.Quarterly Journal of Economics 65: 433–438.

    Google Scholar 

  • Moses, L. N. 1955. The stability of interregional trade patterns and input-output analysis.American Economic Review 45: 803–832.

    Google Scholar 

  • Moses, L. N. 1960. A general equilibrium model of production, interregional trade and location of industry.Review of Economics and Statistics 42: 373–397.

    Google Scholar 

  • Murata, Y. 1977.Mathematics for Stability and Optimization of Economic Systems. New York: Academic Press.

    Google Scholar 

  • Murata, Y. 1980. M-matrix and its surroundings in relation to Leontief Matrix.Oikonomika 17: 99–129.

    Google Scholar 

  • Samuelson, P. A. 1960. An extension of the LeChatelier Principle.Econometrica 28: 368–379.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nagoya City University, Japan

    Yoshio Kimura

Authors
  1. Yoshio Kimura
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author is grateful to Professors M. C. Kemp and Y. Horiba for helpful comments on an earlier version of the paper. He also acknowledges Professor Y. Murata's kind encouragement.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kimura, Y. Taxes and subsidies in the interregional input-output system; Some properties of the inverse of an M-matrix. Papers of the Regional Science Association 51, 163–177 (1983). https://doi.org/10.1007/BF01940341

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01940341

Search

Navigation