BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260620T203628EDT-5260TVcK2a@132.216.98.100 DTSTAMP:20260621T003628Z DESCRIPTION:Virtual Informal Systems Seminar (VISS)\n Centre for Intelligent Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisio ns (GERAD)\n\nZoom Link\n Meeting ID: 845 1388 1004\n Passcode: VISS\n\nSpea ker: Giacomo Como\, Professor\, Department of Mathematical Sciences\, Poli tecnico di Torino\n \n Abstract:\n We study a network formation game where n players\, identified with the nodes of a directed graph to be formed\, cho ose where to wire their outgoing links in order to maximize their PageRank centrality. Specifically\, the action of every player i consists in the w iring of a predetermined number d(i) of directed out-links\, and her utili ty is her own PageRank centrality in the network resulting from the action s of all players. We show that this is a potential game and that the best response correspondence always exhibits a local structure in that it is ne ver convenient for a node i to link to other nodes that are at incoming di stance more than d(i) from her. We then study the equilibria of this game determining necessary conditions for a graph to be a (strict\, recurrent) Nash equilibrium. Moreover\, in the homogeneous case\, where players all h ave the same number d of out-links\, we characterize the structure of the potential maximizing equilibria and\, in the special cases d=1 and d=2\, w e provide a complete classification of the set of (strict\, recurrent)  Na sh equilibria. Our analysis shows in particular that the considered format ion mechanism leads to the emergence of undirected and disconnected or loo sely connected networks. This is a joint work with Costanza Catalano\, Mar ia Castaldo\, and Fabio Fagnani.\n \n Biography:\n Giacomo Como is  a  Profes sor at  the Department  of  Mathematical  Sciences\, Politecnico di Torino \, Italy. He is also a Senior Lecturer at the Automatic Control Department \, Lund University\, Sweden. He received the B.Sc.\, M.S.\, and Ph.D. degr ees in Applied Mathematics  from  Politecnico  di  Torino\,  in  2002\,  2 004\, and 2008\, respectively. He was a Visiting Assistant in  Research at Yale  University in 2006--2007 and a Postdoctoral Associate at  the  Labo ratory  for  Information  and  Decision  Systems\,  Massachusetts  Institu te of Technology\, from 2008 to 2011. He  is  recipient  of  the 2015  Geo rge S. Axelby  Outstanding Paper Award.  His  research interests  are in   dynamics\,  information\,  and  control  in  network  systems  with  appli cations to  cyber-physical  systems\,  infrastructure  networks\,  and  so cial and economic networks.\n  \n DTSTART:20231013T140000Z DTEND:20231013T150000Z LOCATION:CA\, ZOOM SUMMARY:On a Network Centrality Maximization Game URL:/cim/channels/event/network-centrality-maximizatio n-game-351745 END:VEVENT END:VCALENDAR