{"id":274,"date":"2016-06-17T06:50:18","date_gmt":"2016-06-17T06:50:18","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/?p=274"},"modified":"2016-06-17T06:50:18","modified_gmt":"2016-06-17T06:50:18","slug":"mean-field-games-on-networks","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/17\/mean-field-games-on-networks\/","title":{"rendered":"Mean Field Games on Networks"},"content":{"rendered":"<p><em>Claudio\u00a0Marchi (Padova, Italy)<\/em><\/p>\n<p>We consider stationary Mean Field Games (briefly, MFG) defined on a network. In this framework, the transition conditions at the vertices play a crucial role: the ones here considered are based on the optimal\u00a0 control interpretation of the problem.<\/p>\n<p>First, we prove separately the well-posedness of each of the two equations\u00a0 composing the MFG system. After we prove existence and uniqueness of the\u00a0 solution to the MFG system.<\/p>\n<p>Finally, we propose some numerical methods, proving the well-posedness and\u00a0 the converging of the scheme.<\/p>\n<p>These are joint works with F. Camilli and S. Cacace.<\/p>\n<p><a href=\"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/programme\/\">Back to Programme<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Claudio\u00a0Marchi (Padova, Italy) We consider stationary Mean Field Games (briefly, MFG) defined on a network. In this framework, the transition conditions at the vertices play a crucial role: the ones here considered are based on the optimal\u00a0 control interpretation of the problem. First, we prove separately the well-posedness of each of the two equations\u00a0 composing &hellip; <a href=\"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/17\/mean-field-games-on-networks\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Mean Field Games on Networks<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-274","post","type-post","status-publish","format-standard","hentry","category-abstracts"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/274","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/comments?post=274"}],"version-history":[{"count":0,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/274\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/media?parent=274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/categories?post=274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/tags?post=274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}