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Ratio and difference comparisons of expected reward in decision-making tasks
Darrell A Worthy1, W Todd Maddox, Arthur B Markman
1Department of Psychology, University of Texas, Austin, TX 78712, USA. worthyda@mail.utexas.edu
Human choice models often compare expected values (EVs), but the method matters. Comparing EVs using a ratio, rather than a difference, significantly alters decision-making behavior.
Area of Science:
- Decision-making science
- Cognitive psychology
- Behavioral economics
Background:
- Models of choice often compute action probabilities by comparing expected values (EVs).
- Two common rules for EV comparison, the exponential (difference) and power (ratio) rules, are frequently conflated.
- The distinction between ratio and difference operations in EV comparison is critical but often overlooked.
Purpose of the Study:
- To empirically test the validity of ratio versus difference operations in expected value (EV) comparisons during decision-making.
- To investigate how altering the ratio or difference between reward values impacts human choice behavior.
Main Methods:
- Human participants completed a choice task involving reward options.
- The study manipulated the difference or ratio between reward values across experimental conditions.
- Behavioral responses were analyzed to assess the influence of ratio versus difference operations.
Main Results:
- Participants demonstrated the ability to compare expected rewards using both ratio and difference operations.
- Modulating the ratio between expected values led to more pronounced behavioral changes compared to modulating the difference.
- The findings highlight the differential impact of ratio-based versus difference-based comparisons on choice probability.
Conclusions:
- Human decision-making flexibly employs both ratio and difference comparisons for expected values.
- Ratio-based comparisons appear to exert a stronger influence on choice behavior than difference-based comparisons.
- These findings have implications for understanding choice models in psychology, economics, and neuroscience.
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