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Related Experiment Video

Updated: Mar 24, 2026

Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
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Evaluating gambles using dynamics.

O Peters1, M Gell-Mann2

  • 1London Mathematical Laboratory, 14 Buckingham Street, London WC2N 6DF, United Kingdom.

Chaos (Woodbury, N.Y.)
|March 3, 2016
PubMed
Summary
This summary is machine-generated.

This study proposes evaluating gambles by averaging wealth growth over time, bypassing traditional utility functions and expectation values. This novel approach offers a more legitimate perspective on decision theory and gamble evaluation.

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Area of Science:

  • Decision Theory
  • Behavioral Economics
  • Mathematical Finance

Background:

  • Classic decision theory relies on utility functions and expectation values to assess gambles.
  • Utility functions have limited predictive power due to their generality.
  • Expectation values require ensembles or ergodic properties, which are inaccessible to individual decision-makers.

Purpose of the Study:

  • To address the limitations of utility functions and expectation values in decision theory.
  • To propose a new method for evaluating gambles based on time-averaged wealth growth.
  • To reconcile inconsistencies in decision theory and validate a new perspective.

Main Methods:

  • Proposed evaluating gambles by averaging wealth growth over time.
  • Specified dynamics to compute time averages, eliminating the need for utility functions.
  • Analyzed linear and logarithmic transformations as ergodic observables for additive and multiplicative dynamics.

Main Results:

  • Demonstrated that averaging wealth growth over time provides a legitimate way to evaluate gambles.
  • Showed that linear and logarithmic transformations generate ergodic observables for specific dynamics.
  • Identified and corrected inconsistencies in decision theory development.

Conclusions:

  • The proposed method of time-averaged wealth growth offers a valid alternative to traditional decision theory.
  • This approach bypasses the need for utility functions and overcomes limitations of expectation values.
  • The findings invalidate common arguments for bounded utility functions and clarify decision theory.