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Working Paper 161

Title: The harmonic sequence paradox reconsidered
Author(s): Alexander Zimper
Date of Publication: December 2009

 
Abstract
 
According to the harmonic sequence paradox (Blavatskyy 2006), 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 eventually zero. Since the assumption of zero marginal utility is implausible, expected utility theory (as well as cumulative prospect theory) does apparently do a bad job in describing this decision behaviour. The present note demonstrates that the harmonic sequence paradox only applies to time-patient but not to time-impatient (risk-neutral) expected utility decision makers.

 

 

 

 
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