Abstract
Axioms on the preference ordering of infinite sequences of a finite number of prizes are used to derive utility indices for these prizes which are constant up to positive linear transformations and satisfy certain conditions. These utility indices and “the rule of long run success” which is formally stated in the paper are then used to determine how an individual should rank lotteries assigning the different prizes with given probabilities. The implications of our results are finally discussed in relation to the von Neumann-Morgenstern axioms and a contention made by M. Allais in his 1953 Econometrica paper.
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References
von Neumann, J., and Morgenstern, O.: (1947). Theory of Games and Economic Behavior, Second Edition, Princeton: Princeton University Press.
Marschak, J.: (1950). Rational Behavior, Uncertain Prospects, and Measurable Utility, Econometrica 18, 111–41.
Marschak, J.: (1951). Why should’ Statisticians and Businessmen Maximize Moral Expectation?, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley.
Marschak, J., and Radner, R.: (1972). Economic Theory of Teams, Yale University Press, New Haven, Conn.
Camacho, A.: (1974). Societies and Social Decision Functions’. In W. Leinfellner and E. Köhler (Eds.), Theory and Decision Library Book: Developments in the Methodology of Social Science, D. Reidel, Dordrecht.
Camacho, A.: (1975). Social Choice in a Sequential Environment’, Theory and Decision 6, 419–37.
Allais, M.: (1953). Le Compartement de L’homme Rationnel devant le Risque: Critique des Postulats et Axiomes de L’ecole Americaine’, Econometrica 21, 503–46.
Kihlstrom, R. E., and Mirman, L. J.: (1974). Risk Aversion with Many Commodities, Journal of Economic Theory 8, 361–88.
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© 1979 Springer Science+Business Media Dordrecht
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Camacho, A. (1979). Maximizing Expected Utility and the Rule of Long Run Success. In: Allais, M., Hagen, O. (eds) Expected Utility Hypotheses and the Allais Paradox. Theory and Decision Library, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7629-1_9
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DOI: https://doi.org/10.1007/978-94-015-7629-1_9
Publisher Name: Springer, Dordrecht
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