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Network approach for decision making under risk-How do we choose among probabilistic options with the same expected
Wei Pan1,2,3,4, Yi-Shin Chen5,6
1Institute of Physics, Academia Sinica, Taipei 115, Taiwan.
Decision theory often overlooks choices with equal expected utility. This study introduces a network approach with goal and time factors, revealing a mathematical basis for seemingly irrational choices and suggesting foresight-based human rationality.
Area of Science:
- Decision Science
- Cognitive Psychology
- Network Theory
Background:
- Conventional decision theory posits maximizing expected utility under risk.
- Existing theories struggle to explain choices between options with identical expected utility.
- Human decision-making under risk often appears irrational when evaluated by expected utility alone.
Purpose of the Study:
- To address the ambiguity in decision theory regarding options with equal expected utility.
- To develop a network-based approach for calculating time-dependent goal achievement probabilities.
- To provide a mathematical framework explaining choices that deviate from maximizing expected utility.
Main Methods:
- Introduction of 'goal' and 'time' factors into a network model.
- Development of strategies for calculating time-dependent probabilities of reaching a goal.
- Mathematical analysis to identify conditions leading to selection of lower expected utility options.
Main Results:
- A novel network approach effectively reduces ambiguity in decision strategies.
- The model successfully calculates time-dependent probabilities for goal attainment.
- A mathematical foundation is established for choices that prioritize factors beyond immediate expected utility.
Conclusions:
- The proposed network approach offers a more nuanced understanding of decision-making under risk.
- Apparent irrationality in human choices may stem from a rational consideration of time and goals.
- This framework suggests that humans exhibit foresight-based rationality in their decisions.
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