Related Experiment Video
Updated: Jun 18, 2025

Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
Published on: September 19, 2012
Irrational choices via a curvilinear representational geometry for value
Katarzyna Jurewicz1,2, Brianna J Sleezer3, Priyanka S Mehta3,4
1Department of Neurosciences, Faculté de médecine, and Centre interdisciplinaire de recherche sur le cerveau et l'apprentissage, Université de Montréal, Montréal, QC, Canada.
Brain value representation is not linear. Researchers found curved geometry in the ventromedial prefrontal cortex (vmPFC) that leads to irrational decision-making, especially with decoy options.
Area of Science:
- Neuroscience
- Cognitive Science
- Decision Science
Background:
- Understanding how the brain represents value is crucial for decision-making.
- Previous models often assumed linear value representation, partly due to a focus on single neurons.
Purpose of the Study:
- To investigate the representational geometry of value in the ventromedial prefrontal cortex (vmPFC).
- To test whether value representation is linear or nonlinear and its implications for decision-making.
Main Methods:
- Examined neural population activity in the vmPFC of two rhesus macaques during decision-making tasks.
- Analyzed the geometric structure of value representations.
Main Results:
- Value is encoded along a curved manifold in the vmPFC, indicating nonlinear representation.
- Observed decision-making behavior consistent with predictions from nonlinear value geometry, including irrational choices influenced by decoy options.
Conclusions:
- The representational geometry of value in the vmPFC is nonlinear.
- This nonlinearity may impose fundamental constraints on rational decision-making processes.
Related Concept Videos
Curvilinear Motion: Rectangular Components
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
Curvilinear Motion: Polar Coordinates
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
Decision Making: P-value Method
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
Reason and Intuition
Curvilinear Motion: Normal and Tangential Components
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...
Vector Algebra: Graphical Method
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...

