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The Aggregation Problem

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Mathematical Economics

Abstract

Economic models must be related to empirical data if they are to be of use either for explanatory or for predictive purposes. In the present state of computational procedures, they must involve relatively few aggregates like national income, consumption and investment, or inputs and outputs of broad groups of materials and products. This is certainly so for models of the whole economy, as in Hicks’ trade-cycle theory (Chapter 7) or Leontiefs input-output model (Chapter 11). It is also true of models, e.g. in linear programming, which apply to the operations of an industry or large concern. In most cases, a model must be confined to a few macro-relations between a few macro-variables.

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References

Aggregation Theory

  • Klein (L. R.) (1946a) :“Macroeconomics and the Theory of Rational Behavior”, Econometrica, 14, 93–108.

    Article  Google Scholar 

  • Klein (L. R.) (1946b) :“Remarks on the Theory of Aggregation”, Econometrica, 14, 303–12.

    Article  Google Scholar 

  • May (K.) (1946) :“The Aggregation Problem for a One-Industry Model”, Econometrica, 14, 285–98.

    Article  Google Scholar 

  • May (K.) (1947) :“Technological Change and Aggregation”, Econometrica, 51, 51–63.

    Article  Google Scholar 

  • Nataf (A.) (1948) :“Sur la PossibilitĂ© de Construction de Certains Macromodèles”, Econometrica, 16, 232–44.

    Article  Google Scholar 

  • Roy (R.) (1952) :“Les ÉlasticitĂ©s de la Demande relative aux Biens de Consommation et aux Groups de Biens”, Econometrica, 20, 391–405.

    Article  Google Scholar 

  • Shou Shan (Pu (1946) :“A Note on Macroeconomics”, Econometrica, 14, 299–302.

    Article  Google Scholar 

  • Theil (H.) (1954) : Linear Aggregation of Economie Relations (North-Holland, Amsterdam, 1954).

    Google Scholar 

  • Tinbergen (J.) (1939) : Statistical Testing of Business Cycle Theories (Geneva, 1939).

    Google Scholar 

  • Tinbergen (J.) (1951) : Econometrics (Allen and Unwin, 1951), Chapter 2.

    Google Scholar 

  • (Wolff P. de) (1941) :“Income Elasticity of Demand, a Micro-Economic and a Macro-Economic Interpretation”, Economic Journal, 51, 140–45.

    Article  Google Scholar 

Welfare Economics

  • Arrow (K. J.) (1951) : Social Choice and Individual Values (Wiley, 1951).

    Google Scholar 

  • Baumöl W. J.) (1952) : Welfare Economics and the Theory of the State (Longmans, 1952).

    Google Scholar 

  • Bergson (A.) (1938) :“A Reformulation of Certain Aspects of Welfare Economics”, Quarterly Journal of Economicsy 52, 310–34.

    Article  Google Scholar 

  • Dorfman (R.), Samuelson (P. A.) and Solow (R. M.) (1958) : Linear Programming and Economic Analysis (McGraw-Hill, 1958), Chapter 14.

    Google Scholar 

  • Hicks (J. R.) (1939) :“The Foundations of Welfare Economics”, Economic Journal, 49, 696–712.

    Article  Google Scholar 

  • Hotelling (H.) (1938) :“The General Welfare in Relation to Problems of Taxation and of Railway and Utility Rates”, Econometrica, 6, 242–69.

    Article  Google Scholar 

  • Kaldor (N.) (1939) :“Welfare Propositions in Economics”, Economic Journal, 49, 549–52.

    Article  Google Scholar 

  • Kennedy (C.) (1954) :“Concerning Utility”, Economica, 21, 7–20.

    Article  Google Scholar 

  • Lange (O.) (1942) :“The Foundations of Welfare Economics” Econometrica, 10, 215–28.

    Article  Google Scholar 

  • Little (I. M. D) (1950) : A Critique of Welfare Economics (Oxford, 1950).

    Google Scholar 

  • Samuelson (P. A) (1947) : Foundations of Economic Analysis (Harvard, 1947), Chapter VIII.

    Google Scholar 

  • Scitovsky (T.) (1941) :“A Note on Welfare Propositions in Economics”, Review of Economic Studies, 9, 77–88.

    Article  Google Scholar 

  • Theil (H.) (1954):“Models and Welfare Maximisation”, Weltwirtschaftliches Archiv, 72, 60–81.

    Google Scholar 

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© 1959 R. G. D. Allen

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Allen, R.G.D. (1959). The Aggregation Problem. In: Mathematical Economics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-81547-0_20

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  • DOI: https://doi.org/10.1007/978-1-349-81547-0_20

  • Publisher Name: Palgrave Macmillan, London

  • Print ISBN: 978-1-349-81549-4

  • Online ISBN: 978-1-349-81547-0

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