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Multi-Page Format Economic Systems

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Extremal Methods and Systems Analysis

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 174))

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Abstract

Recently the multi-page format of mathematical programming has been applied to large sectors of an economy (i.e. the market for civilian and military manpower, the banking system and other financial intermediaries), or even to an entire economy (Mexico, Hungary). In such situations a problem emerges which had not been foreseen in the early developments of this programming technique: interrelationships in the macro-economy which cause the weights of the global maximand (the global prices) to be dependent upon the global availability of resources (defining the coupling constraints).

Contact is thus established between the multi-page format of mathematical programming on the one hand, and general equilibrium theory on the other. Indeed, the Walras system itself can be written on the multi-page format.

Some standard models of the economic system are rewritten on the multi-page format. The reformulation invites some extension of the classical models in that the presence of entire sets of linear constraints can be handled in a routine fashion.

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References

  1. BOYER, M., S. STOROY AND S. THORE: Equilibrium in Linear Capital Market Networks. The Journal of Finance, Dec. 1975, 1197–1211.

    Google Scholar 

  2. CHARNES, A., R.W. CLOWER AND K.O. KORTANEK: Effective Control through Coherent Decentralization with Preemptive Goals. Econometrica, April 1967, 294–320.

    Google Scholar 

  3. CHARNES, A. AND W.W. COOPER: Mixing Routines for a Class of Coupled Models. ONR Research Memorandum no. 18, The Technological Institute, Northwestern University and Graduate School of Industrial Administration, May 1959.

    Google Scholar 

  4. CHARNES, A. AND W.W. COOPER: Management Models and Industrial Applications of Linear Programming. New York: Wiley, 1961.

    Google Scholar 

  5. CHARNES, A., W.W. COOPER AND B. MELLON: Blending Aviation Gasolines–A Study in Programming Interdependent Activities. Econometrica, April 1952, 135–159.

    Google Scholar 

  6. CHARNES, A., W.W. COOPER AND R.J. NIEHAUS: Dynamic Multi-attribute Models for Mixed Manpower Systems. Naval Research Logistics Quarterly, June 1975, 205–220.

    Google Scholar 

  7. CHARNES, A. AND C.E. LEMKE: Multi-copy Generalized Networks (abstract). Notices of the American Mathematics Society, Vol. 5. (1958), p. 525.

    Google Scholar 

  8. DANTZIG, G.B. AND P. WOLFE: The Decomposition Algorithm for Linear Programs. Econometrica, Oct. 1961, 767–778.

    Google Scholar 

  9. DIEWERT, W.E.: On a Theorem of Negishi. Metroeconomica, May-Aug. 1973, 119–135.

    Google Scholar 

  10. GINSBURGH, V. AND J. WAELBROECK: Computational Experience with a Large General Equilibrium Model, in Computing Equilibria: How and Why, ed. by J. Los and M.W. Los. Warszawa: Polish Scientific Publishers, 1976.

    Google Scholar 

  11. GOREUX, L.M. AND A.S. MANNE (editors): Multi-level Planning: Case Studies in Mexico. Amsterdam: North-Holland, 1973.

    Google Scholar 

  12. KORNAI, J.: Thoughts on Multi-level Planning Systems. In Goreux and Manne (1973) (See above)

    Google Scholar 

  13. NEGISHI, T.: Welfare Economics and Existence of an Equilibrium for a Competitive Economy. Metroeconomica, Aug.-Dec. 1960, 92–97.

    Google Scholar 

  14. NEGISHI, T.: General Equilibrium Theory and International Trade. Amsterdam: North-Holland 1972.

    Google Scholar 

  15. TAKAYAMA, A. AND M. EL-HODIRI: Programming, Pareto Optimum and the Existence of Com-petitive Equilibria. Metroeconomica, Jan.-April 1968, 1–10.

    Google Scholar 

  16. THORE, S. AND E. VARDAL: A Programming Model for National Credit Budgeting in Norway. Economic Appliquée, 27 (1974), 432–456.

    Google Scholar 

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© 1980 Springer-Verlag Berlin Heidelberg

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Thore, S. (1980). Multi-Page Format Economic Systems. In: Fiacco, A.V., Kortanek, K.O. (eds) Extremal Methods and Systems Analysis. Lecture Notes in Economics and Mathematical Systems, vol 174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46414-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-46414-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09730-3

  • Online ISBN: 978-3-642-46414-0

  • eBook Packages: Springer Book Archive

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