Utility Functions For Preference Under Updated Sets Of Unambiguity Events

Individual behavior selections are rooted in two aspects: the selective circumstance and the personal preference of the decision maker. Research on preference is an emphasis in the domain of Economics. In order to make an estimate of preference , we need to find a quality measure of it.On the circumstance of uncertainty choices, preference exists in people's consciousness. The springboard of our research should be set on the field of events, which exists objectively and we can realize it sufficiently. On the basis of former research, this paper updates the field of unambiguous events and extends the classical expected utility models of risk preference over subjective acts.Chapter 1 motivates the analysis by an introduction of preference and related knowledge and a discussion of the classical models, which contain Expected Utility Model and Subjective Expected Utility Model. Chapter 2 presents the definition of the field of unambiguous events and expected utility models of risk preference with the corresponding axioms. The following parts gives innovative definitions and one rational axiom by way of establish new Subjective Expected Utility Model in the updating field of choice-events. The last chapter mentions the prospect of research on preference and enumerates some opening problems to solve.The essential of this paper is: advances the frame of reference of expanding the former field of unambiguous events, separates the updating field of choices-events and posits endowed probabilities over events with distinct properties.