Nash and Wardrop Equilibria in Aggregative Games With Coupling Constraints

• Published in: IEEE transactions on automatic control Vol. 64; no. 4; pp. 1373 - 1388
• Main Authors: Paccagnan, Dario, Gentile, Basilio, Parise, Francesca, Kamgarpour, Maryam, Lygeros, John
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aggregates; Aggregative games; Algorithms; Cost function; Coupling; coupling constraints; Couplings; distributed algorithms; Economic models; Electric vehicles; Equilibrium; Game theory; Games; generalized Nash equilibrium; large-scale systems; Nash equilibrium; Route selection; Sociology; Statistics; vehicle routing

We consider the framework of aggregative games, in which the cost function of each agent depends on his own strategy and on the average population strategy. As first contribution, we investigate the relations between the concepts of Nash and Wardrop equilibria. By exploiting a characterization of th...