Abstract
This paper investigates the allegation that deviations from the expected utility behavior such as the Allais Paradox reduces the probability of survival. This implies a two-valued lexicografic utility with no trade-off between on the one side probability of survival and on the other wealth in case of survival. Two examples are demonstrated where maximizing probability of survival in two choice situations implies a set of choices that add up to the Allais Paradox. - In testing the interpretation that the Allais Paradox is in fact compatible with the expected utility theory (rightly understood) it is also shown that if each choice in the Allais paradox is reversed, this new set of choices is equivalent to the original set according to the composite game (“independence”) axiom (3:C:b), which is therefore rejected by empirical evidence.
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References
Allais, Maurice, 1952, Fondements d’une Théorie Positive des Choix comportrant un Risque et Critique des postulats et Axiomes de l’Ecole Américaine. Colloques Internationaux du Centre National de la Recherche, Vol. XL, Paris 1953. Also Allais and Hagen (eds.), 1979: English translation.
Allais, Maurice, 1977, The So-Called Allais Paradox and Rational Decisions under Uncertainty, Allais and Hagen (eds.) 1979.
Allais, Maurice, 1983, The Foundations of the Theory of Utility and Risk, Hagen and Wenstoep (eds.), 1984.
Allais, Maurice, 1985 a, Three Theorems on the Theory 0f Cardinal Utility and Random Choice, Eberlein and Berghel (eds.). Reidel 1987.
Allais, Maurice, 1985 b, The Allais Paradox in The New Palgrave. A Dictionary of Economics Vol 1. Macmillan, 1987.
Allais, Maurice, 1986, The General Theory of Random Choices in Relation to the Invariant Cardinal Utility Function and the Specific Probability Function. The (U, θ) model in Munier (ed.): Risk, Decision and Rationality. Reidel, 1987.
Allais, Maurice, 1988, Scientific Papers on Risk and Utility Theory-Theory, Experience, and Applications. Forthcoming, Reidel. Ch. XVIII, Cardinal Utility-History, Empirical Findings, and Applications.
Allais, Maurice and Hagen, Ole (eds.), 1979, Expected Utility Hypoteses and the Allais Paradox (Reidel, Dordrecht)
Borch, Karl, 1966, A utility function derived from a survival game, Management Science 12, 287–295.
Borch, Karl, 1968, Decision Rules Depending on the Probability of Ruin, Oxford Economic Papers, vol. 20, 1, 1–10.
Daboni et al. (eds.), Recent Developments in the Foundations of Utility and Risk Theory (Reidel, Dordrecht).
Bell, D., 1982, Regret in decision making under uncertainty, Operations Research, Vol. 33, pp. 127.
Chew, S. and MacCrimmon, K., 1979. Alpha-nu Choice Theory: a Generalization of Expected Utility Theory, Working Paper No. 669, University of British Columbia.
Fishburn, Peter C., 1987, Reconsiderations in the Foundations of Decision Undercertainty, The Economic Journal, 97, pp. 825–841.
Hagen, Ole, 1972, A new axiomatisation of utility under risk, Teorie a Metoda, Reprint 1987/4 Norw. School of Management.
Hagen, Ole, 1979, Towards a positive theory of decisions under risk, Allais and Hagen (eds.) q. v..
Hagen, Ole, 1984, Relativity in Decision Theory, Hagen and Wenstøp (eds.) q. v. pp. 237–249.
Hagen, Ole, 1985, Rules of Behavior and Expected Utility Theory. Compability versus Dependence. Theory and Decision, Vol.18. No. 1, January 1985, pp. 31–46.
Hagen, Ole and Wenstøp, Fred (eds.), 1984, Progress in Utility and Risk Theory (Reidel, Dordrecht).
Hey, John D. and Lambert, Peter J. (eds.), 1987, Surveys in the Economics of Uncertainty, Basil Blackwell Oxford.
Karni, Edi and Schmeidler, David, 1986, Self-preservation as a Foundation of Rational Behavior under Risk, Journal of Economic Behavior and Organisation, Vol. 7 pp. 71–81.
Loomes, G. and Sugden, R., 1985, Regret Theory: An Alternative Theory of Rational Choice under Uncertainty, Economic Journal, Vol. 92, pp. 805–824.
Loomes, G. and Sugden, R., Some Implications of a More General Form of Regret Theory, available from authors.
MacCrimmon, K. R. and Larsson, S., 1979, Utility theory: Axioms versus “paradoxes”, Allais and Hagen (eds.) q. v.
Machina, Mark J., 1983, Generalized Expected Utility Analysis and The Nature of Observed Violations of the Independence Axiom. Stigum and Wenstøp (eds.) q. v.
Schoemaker, P., 1982. The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations, Journal of Economic Literature, Vol. 20, pp. 529–563.
Snow, Paul, 1987. Maximizing Expected Utilityy Is a Survival Criterion, Theory and Decision, Vol 22 No. 2., pp.143–154.
Sugden, Robert, Regret, Recrimination and Rationality, Theory and Decision, Vol. 19 No. 1 July 1985, pp.77–100.
Sugden, Robert, New Developments in the Theory of Choice under Uncertainty, Hey, John D. and Lambert, P. J. (eds.) q. v.
Stigum, B. P. and Wenstøp, F. (eds.), 1983, Foundations of utility and risk theory with applications (Reidel, Dordrecht).
Ståhl, I., 1980, Review of Allais and Hagen (eds.) q. v., Scandinavian Journal of Economics, pp. 413–417.
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HAGEN, O. (1991). Expected Utility Theory - The “Confirmation” That Backfires. In: Chikán, A. (eds) Progress in Decision, Utility and Risk Theory. Theory and Decision Library, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3146-9_7
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DOI: https://doi.org/10.1007/978-94-011-3146-9_7
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