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Fundamental Properties of a Surplus Function

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Abstract

The surplus function as defined in the present paper describes the maximum surplus which can be achieved at a given composition of households and firms and at a given distribution of utility. It is shown that the partial derivative of the surplus function with respect to the number of firms is the profit level of such a firm whereas that with respect to the number of households is the difference in value between endowments and private consumption of such a household. These properties of the partial derivatives are called fundamental because they imply the limit theorem on the core of an economy, the rule of financing club goods efficiently, the Henry George Theorem well-known from urban economic theory, as well as a normative justification of why profits are required to vanish.

Keywords

  • Public Good
  • Private Consumption
  • Outer Envelope
  • Surplus Function
  • Local Public Good

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References

  • Arnott, R.J. and Stiglitz, J.E. (1979), “Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size,” Quarterly Journal of Economics 93, 471–500.

    CrossRef  Google Scholar 

  • Debreu, G. and Scarf, H. (1963), “A Limit Theorem on the Core of an Economy,” International Economic Review 4, 235–246.

    CrossRef  Google Scholar 

  • Sandler, T. and Tschirhart, J.T. (1980), “The Economic Theory of Clubs: an Evaluative Survey,” Journal of Economic Literature XVIII, 1481–1521.

    Google Scholar 

  • Schweizer, U. (1983), “Efficient Exchange with a Variable Number of Consumers,” Econometrica 51, 575–584.

    CrossRef  Google Scholar 

  • Schweizer, U. (1986), “General Equilibrium in Space and Agglomeration,” in: Location Theory, Fundamentals of Pure and Applied Economics, Volume 5. Regional and Urban Economics Section, Harvard Academic Publishers, Chur.

    Google Scholar 

  • Stiglitz, J.E. (1977), “The Theory of Local Public Goods,” in Feldstein, M.S. and Inman, R.P. (eds.), The Economics of Public Services, McMillan, London.

    Google Scholar 

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© 1993 Springer-Verlag Berlin · Heidelberg

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Schweizer, U. (1993). Fundamental Properties of a Surplus Function. In: Diewert, W.E., Spremann, K., Stehling, F. (eds) Mathematical Modelling in Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78508-5_29

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  • DOI: https://doi.org/10.1007/978-3-642-78508-5_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78510-8

  • Online ISBN: 978-3-642-78508-5

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