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Antonelli's analytical techniques: their exploitation to derive results in duality theory

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  • Alan Martina

Abstract

Antonelli, over a hundred years ago, pioneered techniques of economic analysis which still can be usefully employed to provide apparently new insights in duality theory. This assertion is demonstrated through the applications of these techniques to derive specific results in duality theory. These applications allow an apparently new derivation of the equality between the partial derivative of the expenditure function, with respect to the price of some good, and the compensated level of demand for this good. In addition, use of Antonelli's analytical techniques reveals links between certain results in duality theory that, apparently, have not been noticed before in the relevant literature.

Suggested Citation

  • Alan Martina, 2000. "Antonelli's analytical techniques: their exploitation to derive results in duality theory," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 7(3), pages 363-376.
    • Handle: RePEc:taf:eujhet:v:7:y:2000:i:3:p:363-376
    DOI: 10.1080/09672560050192107
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    References listed on IDEAS

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    1. Cook, Philip J, 1972. "A 'One Line' Proof of the Slutsky Equation," American Economic Review, American Economic Association, vol. 62(1), pages 139-139, March.
    2. Peter C. Dooley, 1983. "Slutsky's Equation is Pareto's Solution," History of Political Economy, Duke University Press, vol. 15(4), pages 513-517, Winter.
    3. Diewert, W.E., 1993. "Duality approaches to microeconomic theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 12, pages 535-599, Elsevier.
    4. Harold Hotelling, 1932. "Edgeworth's Taxation Paradox and the Nature of Demand and Supply Functions," Journal of Political Economy, University of Chicago Press, vol. 40(5), pages 577-577.
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