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Explaining the harmonic sequence paradox.

Ulrich Schmidt1, Alexander Zimper

  • 1Department of Economics, University of Kiel, Germany.

The British Journal of Mathematical and Statistical Psychology
|September 30, 2011
PubMed
Summary
This summary is machine-generated.

The harmonic sequence paradox challenges expected utility theory by showing finite willingness to pay requires implausible zero marginal utility. Introducing time impatience resolves this paradox, offering a new perspective on decision-making under uncertainty.

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Area of Science:

  • Behavioral Economics
  • Decision Theory
  • Experimental Economics

Background:

  • The harmonic sequence paradox highlights a conflict between expected utility theory and plausible assumptions about decision-makers.
  • Standard models like expected utility theory and cumulative prospect theory struggle to explain finite willingness to pay for certain gambles.

Purpose of the Study:

  • To experimentally investigate the harmonic sequence paradox.
  • To explore the role of time preferences in resolving the paradox.

Main Methods:

  • Experimental economics study to test decision-maker behavior.
  • Theoretical analysis incorporating time impatience into decision models.

Main Results:

  • Experimental results provide empirical data on the harmonic sequence paradox.
  • Theoretical findings demonstrate that time impatience resolves the paradox.

Conclusions:

  • The harmonic sequence paradox's theoretical challenge is limited to time-patient decision-makers.
  • Incorporating time impatience offers a viable solution to the paradox within decision theory.