Bayesian Methodologies Seminar: Game-theoretic probability and its applications

  • Date: 05/26/2010
Glenn Shafer (Rutgers University)

University of Regina


The game-theoretic framework, introduced by Vovk and myself in 2001 (, uses game theory instead of measure theory as a mathematical framework for probability. Classical theorems are proven by betting strategies that multiply a player's stake by a large factor if the theorem's prediction fails. In this talk, I will discuss the basic idea of game-theoretic probability and two important applications: (1) defensive forecasting, (2) the game-theoretic interpretation of Bayesian and Dempster-Shafer inference.