Speed limits, speed selection and network equilibrium

•Investigate local and global impacts of speed limits with non-obedient travelers.•Travelers trade off crash risk, travel time and ticket risk to choose optimal speed.•Crash risk is assumed to increase with absolute speed and speed variance on a link.•Speed selection of heterogeneous users on each particular link is a Nash equilibrium.•Propose a Gauss–Seidel-type algorithm to solve for the multiclass user equilibrium.