Existence for stationary mean-field games with congestion and quadratic Hamiltonians
| dc.contributor.author | Gomes, Diogo A. | |
| dc.contributor.author | Mitake, Hiroyoshi | |
| dc.date.accessioned | 2016-01-19T13:22:06Z | |
| dc.date.available | 2016-01-19T13:22:06Z | |
| dc.date.issued | 2015-09-03 | |
| dc.identifier.citation | Gomes DA, Mitake H (2015) Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Nonlinear Differential Equations and Applications NoDEA. Available: http://dx.doi.org/10.1007/s00030-015-0349-7. | |
| dc.identifier.issn | 1021-9722 | |
| dc.identifier.issn | 1420-9004 | |
| dc.identifier.doi | 10.1007/s00030-015-0349-7 | |
| dc.identifier.uri | http://hdl.handle.net/10754/594122 | |
| dc.description.abstract | Here, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions. © 2015 Springer Basel | |
| dc.publisher | Springer Nature | |
| dc.subject | Congestion | |
| dc.subject | Mean-field games | |
| dc.subject | Quadratic Hamiltonians | |
| dc.title | Existence for stationary mean-field games with congestion and quadratic Hamiltonians | |
| dc.type | Article | |
| dc.contributor.department | Applied Mathematics and Computational Science Program | |
| dc.contributor.department | Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ) | |
| dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
| dc.identifier.journal | Nonlinear Differential Equations and Applications NoDEA | |
| dc.contributor.institution | Institute for Sustainable Sciences and Development, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Japan | |
| kaust.person | Gomes, Diogo A. | |
| dc.date.published-online | 2015-09-03 | |
| dc.date.published-print | 2015-12 |
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Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
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