Abstract
Antonelli was born near Pisa in 1858. He studied mathematics and then went on to qualify as an engineer. Although his life was devoted to civil engineering, he made an important contribution to early mathematical economics. His Sulla teoria matematica dell’economia politica (1886), intended to be the first part of a book, is remarkable, in particular for the conditions he gives for the ‘integrability problem’.
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Bibliography
A detailed and careful account of Antonelli’s contributions and a translation of his economic paper is given in:
Chipman, J.S., Hurwicz, L., Richter, M.K. and Sonnenschein, H.F., eds. 1971. Preferences, utility and demand. New York: Harcourt Brace and Jovanovich. (See in particular Introduction to Part II by J.S. Chipman, chapter 16: a translation of Antonelli and chapter 9 on the integrability problem by L. Hurwicz.)
Eisenberg, E. 1961. Aggregation of utility functions. Management Science 7: 337–350.
Gorman, W.M. 1953. Community preference fields. Econometrica 21: 63–80.
Samuelson, P.A. 1950. The problem of integrability in utility theory. Economica 17: 355–385.
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Kirman, A.P. (2018). Antonelli, Giovanni Battista (1858–1944). In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_328
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DOI: https://doi.org/10.1057/978-1-349-95189-5_328
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