Cognition and games - an approach to information

  • Flemming Topsøe (University of Copenhagen, Copenhagen, Denmark)
University n.n. Universität Leipzig (Leipzig)


Basic structural elements on the way to information involve truth, belief and knowledge as well as ideas about how truth is perceived by an observer, be it a physicist or a statistician. Also, one should ask questions such as ``what {\em can\/} we know?'' When formalizing these philosophical considerations, simple two-person zero-sum games provide important theoretical support. Well known results going back to Chentsov and Csisz\'ar on information projections and Pythagorean inequalities may be illuminated this way. Whether a tie to a truly geometric theory as initiated by the Japanese school led by Amari can also be established is another matter.


02.08.10 06.08.10

Information Geometry and its Applications III

Universität Leipzig (Leipzig) University n.n. University n.n.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic