For a static economic model of auto traffic in an isotropic zone, this paper classifies possible equilibria into three types, by whether traffic is hypercongested and by the relative slopes of “supply” and “demand” curves. We then conduct a local stability analysis of each type when density, demand and the unit travel time (inverse speed) evolve gradually and simultaneously according to dynamical systems of differential equations. Some hypercongested equilibria may be stable when demand adjusts quickly enough to congestion. Other hypercongested equilibria, which have counterintuitive comparative statics, are never stable. Non-hypercongested equilibria can be unstable under special circumstances. A discrete event simulation with a dynamic Poisson arrival process supports the results of the formal analysis.

对于各向同性区域汽车交通的静态经济模型，本文根据交通是否过度拥堵以及“供给”和“需求”曲线的相对斜率将可能的均衡分为三种类型。然后，根据微分方程动力系统，当密度、需求和单位行程时间（反速度）逐渐同时演化时，我们对每种类型进行局部稳定性分析。当需求调整得足够快以适应拥塞时，某些超拥塞平衡可能会保持稳定。其他具有违反直觉的比较静态的超拥挤平衡从来都不稳定。非超拥塞平衡在特殊情况下可能不稳定。具有动态泊松到达过程的离散事件模拟支持形式分析的结果。