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Explaining the harmonic sequence paradox.

Authors :
Schmidt, Ulrich
Zimper, Alexander
Source :
British Journal of Mathematical & Statistical Psychology. May2012, Vol. 65 Issue 2, p322-333. 12p. 1 Chart, 2 Graphs.
Publication Year :
2012

Abstract

According to the harmonic sequence paradox, an expected utility decision maker's willingness to pay for a gamble whose expected payoffs evolve according to the harmonic series is finite if and only if his marginal utility of additional income becomes zero for rather low payoff levels. Since the assumption of zero marginal utility is implausible for finite payoff levels, expected utility theory - as well as its standard generalizations such as cumulative prospect theory - are apparently unable to explain a finite willingness to pay. This paper presents first an experimental study of the harmonic sequence paradox. Additionally, it demonstrates that the theoretical argument of the harmonic sequence paradox only applies to time-patient decision makers, whereas the paradox is easily avoided if time-impatience is introduced. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00071102
Volume :
65
Issue :
2
Database :
Academic Search Index
Journal :
British Journal of Mathematical & Statistical Psychology
Publication Type :
Academic Journal
Accession number :
74280444
Full Text :
https://doi.org/10.1111/j.2044-8317.2011.02026.x