Abstract
Bernoulli’s contribution to mathematical economics was not intended as such; it was intended as a contribution to the theory of probability and was delivered before the St Petersburg Academy of Sciences in 1738.1 It was published in the same year under the title ‘Specimen theoriae novae de mensura sortis’.2 In this Bernoulli is concerned with the problem of the value of a game to the individual and arrives essentially to the same conclusions as Mariotte. Contrary, however, to Mariotte, he is not satisfied simply with the logical argument but applies this to the theory of probability by making use, for the first time in a writing of economic character, of both analytic geometry and the differential calculus.
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Notes
Simon de Laplace, Théorie analytique des probabilities (1812) p. 187 and in CEeuvres vol. vil (1847), p. 204.
Laplace, Théorie analytique des probabilités (1812), p. 432, CEeuvres pp. 474 et seq.
But J. Bertrand, Calcul des Probabilités (Paris 1888), thought that Bernoulli’s idea was absurd.
Laplace, Théorie analytique des probabilités (1812) pp. 432–3. On p. 439 Laplace expressly mentions that the principle was proposed by Daniel Bernoulli.
S-D. Poisson, Recherches sur la probabilité des jugements (Paris, 1837), p. 72.
Waldegrave James, excerpts from a letter in P.R. de Montmort, Essay d’ Analyse sur les Jeux de Hasard (Paris 1713) pp. 409–12. Reproduced in W.J. Baumol and S.M. Goldfeld, op. cit., pp. 7–9.
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© 1983 Reghinos D. Theocharis
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Theocharis, R.D. (1983). The Probabilists. In: Early Developments in Mathematical Economics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-04949-3_3
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