Abstract
THE ST PETERSBURG PARADOX AND THE BERNOULLIAN FORMULATION. Let there be a random prospect g1, …, gi, …, gn, …, p1, …, pi, …, pn (Σipi = 1) giving the probability pi of positive or negative gains gi.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Allais, M. 1943. A la recherche d’ une discipline économique, Première partie: l’économie pure. Ateliers Industria, 920 pp. Second edition under the title Traité d’économie pure, Paris: Imprimerie Nationale, 1952, 5 vols. (The second edition is identical to the first, apart from the addition of a new introduction, 63 pp.)
Allais, M. 1952a. Fondements d’une théorie positive des choix comportant un risque et critique des postulats et axiomes de l’école Américaine. International Conference on Risk, Centre National de la Recherche Scientifique, May 1952. Colloques Internationaux XL, Econométrie, Paris, 1953, 257–332.
Allais, M. 1952b. The foundations of a positive theory of choice involving risk and a criticism of the postulates and axioms of the American school. English translation of 1952a. In Allais and Hagen (1979), 27–145.
Allais, M. 1952c. Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’école Américaine. Econometrica 21(4), October 1953,503–546. This paper corresponds to some parts of Allais, 1952a.
Allais, M. 1952d. La psychologie de l’homme rationnel devant le risque — la théorie et l’expérience. Journal de la Société de Statistique de Paris, January–March 1953,47–73.
Allais, M. 1977. The so-called Allais’ Paradox and rational decisions under uncertainty. In Allais and Hagen (1979), 437–699.
Allais, M. 1978. Editorial Introduction, Foreword. In Allais and Hagen (1979), 3–11.
Allais, M. 1983. The foundations of the theory of utility and risk. In Progress in Decision Theory, ed. O. Hagen and F. Wenstop, Dordrecht: Reidel, 1984, 3–131.
Allais, M. 1984a. L’utilité cardinale et sa détermination — hypothèses, méthodes et résultats empiriques. Memoir presented to the Second International Conference on Foundations of Utility and Risk Theory, Venice, 5–9 June 1984.
Allais, M. 1984b. The cardinal utility and its determination — hypotheses, methods and empirical results. English version of 1984a, in Theory and Decision, 1987.
Allais, M. 1984c. Determination of cardinal utility according to an intrinsic invariant model. Abridged version of 1984a in Recent Developments in the Foundations of Utility and Risk Theory, ed. L. Daboni et al, Dordrecht: Reidel, 1985, 83–120.
Allais, M. 1985. Three theorems on the theory of cardinal utility and random choice. In Essays in Honour of Werner Leinfellner, ed. H. Berghel, Dordrecht: Reidel, 1986.
Allais, M. and Hagen, O. (eds) 1979. Expected Utility Hypotheses and the Allais’ Paradox; Contemporary Discussions and Rational Decisions under Uncertainty with Allais’ Rejoinder. Dordrecht: Reidel.
Amihud, Y. 1974. Critical examination of the new foundation of utility. In Allais and Hagen (1979), 149–60.
Amihud, Y. 1977. A reply to Allais. In Allais and Hagen (1979), 185–90.
Bernoulli, D. 1738. Specimen theoriae novae de mensura sortis. Trans, as ‘Exposition of a new theory on the measurement of risk’. Econometrica 22 (1954), 23–36.
de Finetti, B. 1977. A short confirmation of my standpoint. In Allais and Hagen (1979), 161.
Friedman, M. and Savage, J.L. 1948. The utility analysis of choices involving risk. Journal of Political Economy 56, August, 279–304.
MacCrimmon, K. and Larsson, S. 1975. Utility theory: axioms versus paradoxes. In Allais and Hagen (1979), 333–409.
Marschak, J. 1950. Rational behavior, uncertain prospects and measurable utility. Econometrica 18(2), April, 111–41.
Marschak, J. 1951. Why ‘should’ statisticians and businessmen maximize moral expectation? In Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, Berkeley: University of California Press.
Marschak, J. 1977. Psychological values, and decision makers. In Allais and Hagen (1979), 163–75.
Morgenstern, O. 1976. Some reflections on utility. In Allais and Hagen (1979), 175–83.
Samuelson, P. 1952. Utility, preference and probability. International Conference on Risk, Centre National de la Recherche Scientifique, Paris, May 1952. Colloques Internationaux XL, Econométrie, Paris, 1953, 141–50.
Savage, L. 1952. An axiomatization of reasonable behavior in the face of uncertainty. International Conference on Risk, Paris, May 1952. Centre National de la Recherche Scientifique, Colloques Internationaux XL, Econométrie, Paris, 1953, 29–33.
Savage, L. 1954. The Foundations of Statistics. New York: Wiley.
von Neumann, J. and Morgenstern, O. 1947. Theory of Games and Economic Behavior. 2nd edn, Princeton: Princeton University Press.
Editor information
Copyright information
© 1990 Palgrave Macmillan, a division of Macmillan Publishers Limited
About this chapter
Cite this chapter
Allais, M. (1990). Allais Paradox. In: Eatwell, J., Milgate, M., Newman, P. (eds) Utility and Probability. The New Palgrave. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-20568-4_2
Download citation
DOI: https://doi.org/10.1007/978-1-349-20568-4_2
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-0-333-49541-4
Online ISBN: 978-1-349-20568-4
eBook Packages: Palgrave Economics & Finance CollectionEconomics and Finance (R0)