Article ID: CBB000642091

On the Normative Dimension of the St. Petersburg Paradox (2006)

unapi

In this paper I offer an account of the normative dimension implicit in D. Bernoulli's expected utility functions by means of an analysis of the juridical metaphors upon which the concept of mathematical expectation was moulded. Following a suggestion by the late E. Coumet, I show how this concept incorporated a certain standard of justice which was put in question by the St. Petersburg paradox. I contend that Bernoulli would have solved it by introducing an alternative normative criterion rather than a positive model of decision making processes. Keywords: St. Petersburg paradox; Expected utility; Daniel Bernoulli

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Description On a thought problem dealing with probability theory created by Daniel Bernoulli in the 18th century.


Citation URI
https://data.isiscb.org/isis/citation/CBB000642091/

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Authors & Contributors
Pradier, Pierre-Charles
Patergnani, Elisa
Kidd, Stephen
Jouve, Guillame
Alan H. Welsh
Diaconis, Persi
Journals
Bollettino di Storia delle Scienze Matematiche
Journal Electronique d'Histoire des Probabilités et de la Statistique
British Journal for the History of Mathematics
Science in Context
Philosophia Naturalis
Historical Records of Australian Science
Publishers
Oxford University Press
Princeton University Press
Omniscience
CSLI Publications
Concepts
Mathematics
Probability and statistics
Philosophers of science, modern
Physics
Philosophy of science, as a discipline
Science and society
People
Bernoulli, Daniel
Lagrange, Joseph Louis
Euler, Leonhard
Alembert, Jean le Rond d'
Bernoulli, Johann
Hall, Peter G.
Time Periods
18th century
20th century
19th century
Medieval
20th century, late
Early modern
Places
Italy
Germany
Great Britain
Russia
France
Australia
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