主讲人：Alberto Bressan

（Eberly Chair Professor，Department of Mathematics Penn State University）

时  间： 3月3日（周四）16：30-17：30

地  点：数学科学学院 210教室

备  注：摘要: In connection with the Lighthill-Whitham conservation law model of traffic flow, a cost functional is considered, depending on the departure time and on the arrival time of each driver. Under natural assumptions, there exists a unique globally optimal solution, minimizing the total cost to all drivers. In practice, however, the actual traffic is best described by the Nash equilibrium solution, where no driver can lower his individual cost by changing his own departure time. A characterization of the Nash solution is provided, establishing its existence and uniqueness. Comparisons between the optimal and the Nash solution will be discussed, together with open problems.