Durham University

Department of Mathematical Sciences

Staff

Publication details for Matthias Troffaes

Huntley, Nathan & Troffaes, Matthias (2009), Characterizing factuality in normal form sequential decision making, in Augustin, Thomas, Coolen, Frank, Moral, Serafin & Troffaes, Matthias eds, ISIPTA'09: Proceedings of the Sixth International Symposium on Imprecise Probability: Theories and Applications Sixth International Symposium on Imprecise Probability: Theories and Applications. Durham, England, SIPTA, Durham, 239-248.

Author(s) from Durham

Abstract

We prove necessary and sufficient conditions on choice functions for factuality to hold in normal form sequential decision problems. We find that factuality is sufficient for backward induction to work. However, choice must be induced by a total preorder for factuality to hold. Hence, many of the optimality criteria used in imprecise probability theory (such as interval dominance, maximality, and E-admissibility) are counterfactual under normal form decision making.