Many-valued dynamic logic for qualitative decision theory

Abstract

This paper presents an integration of the dynamic logic semantics and rational decision theory. Logics for reasoning about the expected utilities of actions are proposed. The well-formed formulas of the logics are viewed as the possible goals to be achieved by the decision maker and the truth values of the formulas are considered as the utilities of the goals. Thus the logics are many-valued dynamic logics. Based on different interpretations of acts in the logics, we can model different decision theory paradigms, such as possibilistic decision theory and case-based decision theory.