BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:İrem Portakal (Max Planck at Leipzig) DTSTART:20241115T124000Z DTEND:20241115T134000Z DTSTAMP:20260423T035755Z UID:OBAGS/55 DESCRIPTION:Title: N onlinear algebra in game theory\nby İrem Portakal (Max Planck at Leip zig) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\nn 1950\, Nash published a very influential two-page paper proving the existe nce of Nash equilibria for any finite game. The proof uses an elegant appl ication of the Kakutani fixed-point theorem from the field of topology. Th is opened a new horizon not only in game theory\, but also in areas such a s economics\, computer science\, evolutionary biology\, and social science s. It has\, however\, been noted that in some cases the Nash equilibrium f ails to predict the most beneficial outcome for all players. To address th is\, generalizations of Nash equilibria such as correlated and dependency equilibria were introduced. In this talk\, I elaborate on how nonlinear al gebra is indispensable for studying undiscovered facets of these concepts of equilibria in game theory.\n LOCATION:https://researchseminars.org/talk/OBAGS/55/ END:VEVENT END:VCALENDAR