Series: Penn State Logic Seminar

Date: Tuesday, April 27, 2004

Time: 2:30 - 3:45 PM

Place: 307 Boucke Building

Speaker: Vijay Krishna, Penn State, Economics


   Set Theory Without the Axiom of Foundation -- An Application to
   Game Theory


   A game of incomplete information is a game where there is some
   uncertainty about the structure of the game. The standard
   formalisation of such a situation introduces the notions of "type"
   of a player and "universal belief space". In this talk we shall
   describe the notions of type and universal belief space and define
   them using using Kolmogoroff's extension theorem. We shall then
   describe another, more intuitive definition which uses Set Theory
   without the Axiom of Foundation.