Show simple item record

dc.contributor.authorGomes, Diogo A.
dc.contributor.authorMarcon, Diego
dc.contributor.authorSaleh, Fatimah Al
dc.date.accessioned2020-03-17T11:12:51Z
dc.date.available2020-03-17T11:12:51Z
dc.date.issued2019
dc.identifier.citationGomes, D. A., Marcon, D., & Saleh, F. A. (2019). The current method for stationary mean-field games on networks. 2019 IEEE 58th Conference on Decision and Control (CDC). doi:10.1109/cdc40024.2019.9029982
dc.identifier.doi10.1109/CDC40024.2019.9029982
dc.identifier.urihttp://hdl.handle.net/10754/662164
dc.description.abstractWe discuss first-order stationary mean-field games (MFG) on networks. These models arise in traffic and pedestrian flows. First, we address the mathematical formulation of first-order MFG on networks, including junction conditions for the Hamilton-Jacobi (HJ) equation and transmission conditions for the transport equation. Then, using the current method, we convert the MFG into a system of algebraic equations and inequalities. For critical congestion models, we show how to solve this system by linear programming.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://ieeexplore.ieee.org/document/9029982/
dc.relation.urlhttps://ieeexplore.ieee.org/document/9029982/
dc.relation.urlhttps://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9029982
dc.rightsArchived with thanks to IEEE
dc.titleThe current method for stationary mean-field games on networks
dc.typeConference Paper
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.conference.date11-13 Dec. 2019
dc.conference.name2019 IEEE 58th Conference on Decision and Control (CDC)
dc.conference.locationNice, France
dc.eprint.versionPost-print
dc.contributor.institutionUniversidade Federal do Rio Grande do Sul
dc.contributor.institutionKing Faisal University, Mathematics and statistics department, Hofuf, Saudi Arabia, 31982
kaust.personGomes, Diogo A.
refterms.dateFOA2020-03-17T11:14:08Z


Files in this item

Thumbnail
Name:
09029982.pdf
Size:
367.2Kb
Format:
PDF
Description:
Accepted manuscript

This item appears in the following Collection(s)

Show simple item record