Cumulative Prospect Theory and the St.Petersburg Paradox
Marc Oliver Rieger () and
Mei Wang ()
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Marc Oliver Rieger: Sculola Normale Superiore and University of Zürich
Mei Wang: Sonderforschungsbereich 504, Postal: L 13, 15, D-68131 Mannheim
No 04-28, Sonderforschungsbereich 504 Publications from Sonderforschungsbereich 504, Universität Mannheim, Sonderforschungsbereich 504, University of Mannheim
Abstract:
We find that in cumulative prospect theory (CPT) with a concave value function in gains, a lottery with finite expected value may have infinite subjective value. This problem does not occur in expected utility theory. We characterize situations in CPT where the problem can be resolved. In particular, we define a class of admissible probability distributions and admissible parameter regimes for the weighting-- and value functions. In both cases, finiteness of the subjective value can be proved. Alternatively, we suggest a new weighting function for CPT which guarantees finite subjective value for all lotteries with finite expected value, independent of the choice of the value function.
Pages: 16 pages
Date: 2004-07-28
Note: Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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