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Launhardt's Model of Exchange

Published online by Cambridge University Press:  11 June 2009

Extract

This paper explores C. F. W. Launhardt's (1885) model of exchange and his associated welfare analysis. Launhardt's analysis, starting from the exchange models of W. S. Jevons and Leon Walras, is noteworthy for his derivation from explicit utility functions of algebraic forms of general equilibrium supply and demand curves expressed as functions of relative prices. Whereas Jevons and Walras concentrated on the pricetaking equilibrium properties of their exchange models, Launhardt explored a process of disequilibrium trading in which successive trades take place at the “short end” of the market, that is, the minimum of supply and demand at a price. His main concern was, however, to examine the welfare aspects of exchange, comparing the gains from trade under competitive and monopolistic behavior. Launhardt has been criticized for suggesting that aggregate utility, and thus the aggregate gain from trade, is maximized at the price-taking equilibrium (see for example, Wicksell 1954, p. 76, n. 2; 1934, p. 81, n. 1). He nevertheless showed that a process of disequilibrium trading, in which the price initially favors the relatively poorer individual, can improve the aggregate gains from trade as compared with the equilibrium with no disequilibrium transactions, subsequently called a price-taking equilibrium.

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Articles
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Copyright © Cambridge University Press 1994

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References

REFERENCES

Allen, R. G. D. and Bowley, A. L.. 1935. Family Expenditure: A Study of its Variation, P. S. King & Son, London.Google Scholar
Cournot, A. A. 1927. Researches into the Mathematical Principles of the Theory of Wealth; translated by Bacon, N. T. with an introduction by Fisher, I., Stechert‐Hafner, London.Google Scholar
Jaffé , W. 1983. Essays on Walras, edited by Walker, D. A., Cambridge University Press, Cambridge.Google Scholar
Jevons, W. S. 1909. Principles of Science, 2d ed., Macmillan, London.Google Scholar
Johnson, W. E. 1913. “The Pure Theory of Utility Curves.” Economic Journal, 23, 483513.CrossRefGoogle Scholar
Launhardt, C. F. W. 1885. Mathematische Begründung der Volkswirtschaftslehre; translated by Schmidt, H. and edited and introduced byGoogle Scholar
Creedy, J. as Mathematical Principles of Economics, Edward Elgar, Aldershot, 1993.Google Scholar
Marshall, A. 1961. Principles of Economics, 1, variorum ed., edited by C. W. Guillebaud Macmillan, London.Google Scholar
Walras, L. 1954. Elements of Pure Economics; translated by Jaffé, W., Allen and Unwin, London.Google Scholar
Wicksell, K. 1893. Value, Capital and Rent; translated by Frowein, S. H., Allen and Unwin, London, 1954.Google Scholar
Wicksell, K. 1934. Lectures on Political Economy; translated by Classen, E. and edited by Robbins, L., Routledge, London.Google Scholar