The geometry of choice

Move the targets to explore how their geometry shapes a decision. Each line is a repeat of the same model, starting with equal preference for each target.

Background
Starting point

Decision state

Average belief across runs

Closer togetherFar apart
More competitionMore cooperation
SlowerFaster
0.0010.1
Reached targets

Each path starts with equal weights for each target. Random fluctuations can tip the decision toward a target.

How the model works

The agent starts with equal preference for each target and moves according to its changing preferences. Targets in similar directions support a shared path; as their directions diverge, they compete, and small fluctuations can tip the decision toward one target. Move the targets or adjust the controls to explore how geometry, learning, and noise shape the paths.