mean-field games

On mean-field game price models

Diogo Gomes, Program Chair, Applied Mathematics and Computational Sciences

Nov 7, 12:00 - 13:00

B9 L2 H1 R2322

mean-field games price formation modeling linear-quadratic problem optimal transport with constraints supply and demand balance

Abstract In this talk, we discuss a mean-field game price formation model. This model describes a large number of rational agents that can trade a commodity with an exogenous supply. The price is determined by a balance condition between supply and demand. We discuss the well-posedness of the model, the uniqueness and regularity of the price function. Then, we examine two explicit models - the linear-quadratic problem and a model with finitely many agents. Time permitting, we will examine the connections between this problem and optimal transport with constraints. Brief Biography Diogo Gomes

Mean-Field Games on Networks and Wardrop Equilibria - Graduate Seminar

Ricardo De Lima Ribeiro, Research Specialist, CEMSE, KAUST

Oct 25, 12:00 - 13:00

B9 L2 R2322

mean-field games

Models for flows on networks arise in the study of traffic and pedestrian crowds. These models encode congestion effects, the behavior and preferences of agents, such as aversion to crowds and their attempts to minimize travel time. We will present the Wardrop equilibrium model on networks with flow-dependent costs and its connection with stationary mean-field game.