{"643817":{"#nid":"643817","#data":{"type":"event","title":"ARC Colloquium: Jan Vondrak (Stanford)","body":[{"value":"\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EAlgorithms \u0026amp; Randomness Center (ARC) \u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EJan Vondrak (Stanford)\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EMonday, March 29, 2021\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EVirtual via Bluejeans - 11:00 am\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ETitle: \u003C\/strong\u003ECombinatorial allocation, submodular functions, and Nash social welfare\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EAbstract:\u0026nbsp; \u003C\/strong\u003EI will discuss the problem of allocating indivisible goods to agents in order to optimize a certain welfare objective. Various objectives can be considered, the most natural being the summation of valuations of the participating agents. The \u0026quot;Nash social welfare\u0026quot; is an alternative objective which goes back to John Nash\u0026#39;s work in the 1950s; it is the\u0026nbsp;\u003Cem\u003Egeometric average\u003C\/em\u003E\u0026nbsp;rather than a sum of valuations, which has several desirable properties such as balancing total welfare with fairness. On the technical side, it presents a significantly different problem, with connections to areas such as matching theory, computation of the permanent, and stable polynomials.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EOur new result is a constant-factor approximation for Nash social welfare, whenever the valuation functions are submodular.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E(Joint work with Wenzheng Li.)\u003C\/p\u003E\r\n\r\n\u003Cp\u003E----------------------------------\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Ca href=\u0022https:\/\/theory.stanford.edu\/~jvondrak\/\u0022\u003ESpeaker\u0026#39;s Webpage\u003C\/a\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cem\u003EVideos of recent talks are available at: \u003C\/em\u003E\u003Ca href=\u0022http:\/\/arc.gatech.edu\/node\/121\u0022\u003Ehttp:\/\/arc.gatech.edu\/node\/121\u003C\/a\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Ca href=\u0022https:\/\/mailman.cc.gatech.edu\/mailman\/listinfo\/arc-colloq\u0022\u003EClick here to subscribe to the seminar email list: arc-colloq@Klauscc.gatech.edu \u003C\/a\u003E\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Combinatorial allocation, submodular functions, and Nash social welfare - Virtual via Bluejeans at 11:00am"}],"uid":"27544","created_gmt":"2021-02-03 14:51:49","changed_gmt":"2021-03-15 15:06:20","author":"Francella Tonge","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2021-03-29T12:00:00-04:00","event_time_end":"2021-03-29T13:00:00-04:00","event_time_end_last":"2021-03-29T13:00:00-04:00","gmt_time_start":"2021-03-29 16:00:00","gmt_time_end":"2021-03-29 17:00:00","gmt_time_end_last":"2021-03-29 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"70263","name":"ARC"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"},{"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":""}}}