Simulation of dynamic adjustment processes for network equilibrium problems using electronic circuit analysis software

A prototypical, general socio-economic system of human migration is formulated and solved as an electronic circuit. In such systems that possess multiple classes, the equilibrium conditions are equivalent to a variational inequality, rather than to an optimization problem. The circuit was solved using circuit simulation software. The equilibrium utilities and populations of the different classes of migrants at the locations are then recovered directly from the circuit simulation results. The dynamical adjustment processes of the system are obtained from the transient solution