Reciprocal Inhibition Race

Sample trial — counter trajectories

One complete trial: shared events lift every counter by +1; a pair event adds +1 to one alternative and −1 to its competitor. First counter to θ wins. Faded paths are the previous trial.

Choice probabilities vs threshold — convergence to the probit limit

Monte-Carlo choice shares at each θ (points ± 95% CI) against the limiting Multinomial-Probit probabilities (dashed asymptotes).

Limiting utility correlations ρ_ij

Left: correlation of the limiting Gaussian utilities, Corr(V) from λ₀Q. Right: counter fluctuations Z_i = (X_i(t_θ) − θ)/√θ at the nominal crossing time, with the theoretical 90% ellipse.

First-passage times — √θ localization

Standardized crossing times (T_i − θ/λ₀)/√θ for every alternative, with the predicted Gaussian N(−ṽ_i/λ₀², Q_ii/λ₀³).