{"615225":{"#nid":"615225","#data":{"type":"event","title":"DCL Seminar Series: Takashi Tanaka","body":[{"value":"\u003Cp\u003EWe consider a dynamic game in which multiple ride-hailing companies, each comprised of a large number of drivers, are competing over a shared traffic infrastructure to minimize individual teams\u0026rsquo; total travel time. In realistic scenarios where the underlying traffic systems are described by nonlinear, stochastic, and high-dimensional dynamical systems, analyzing such a game is a challenging task. In this talk, we discuss two novel mathematical frameworks that offer powerful tools for such an analysis. As the first framework, we introduce the class of linearly-solvable mean-field games (MFGs). This is a special class of the MFGs where an equilibrium can be found simply by solving a linear system. This is in contrast to the conventional MFG framework where coupled Hamilton-Jacobi-Bellman and Fokker-Planck-Kolmogorov equations must be analyzed. Traffic congestion mitigation mechanism based on linearly-solvable MFG is discussed. In the second framework, we discuss Kappen\u0026rsquo;s path-integral control and its generalization to dynamic games. We demonstrate that a Nash equilibrium among multiple ride-hailing companies in a stochastic game with nonlinear dynamics can found numerically by forward-in-time Monte-Carlo sampling.\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Road traffic games over nonlinear and dynamic transportation networks"}],"uid":"34840","created_gmt":"2018-12-11 17:15:18","changed_gmt":"2019-04-16 17:58:55","author":"mamstutz3","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2019-04-19T12:00:00-04:00","event_time_end":"2019-04-19T13:00:00-04:00","event_time_end_last":"2019-04-19T13:00:00-04:00","gmt_time_start":"2019-04-19 16:00:00","gmt_time_end":"2019-04-19 17:00:00","gmt_time_end_last":"2019-04-19 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"66191","name":"Decision and Control Lab (DCL)"}],"categories":[],"keywords":[{"id":"1808","name":"graduate students"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"},{"id":"78771","name":"Public"},{"id":"174045","name":"Graduate students"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}