Measurement-Theoretic Foundation of Threshold Utility Maximiser's Preference Logic
Satoru Suzuki · Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University) · 2010
The first problem of this paper is as follows: what kind of preference logic can formalise inferences in which indifference is not transitive? (Nontransitivity Problem) The aim of this paper is to propose a new version of complete and decidable extrinsic preference logic–threshold utility maximiser's preference logic (TUMPL) that can solve the Nontransitivity Problem. Generally, preference logics are in danger of inviting the following problem: almost every principle which has been proposed as fundamental to one preference logic has been rejected by another one. (Fundamental Problem of Intrinsic Preference) A corollary of the Scott-Suppes theorem in measurement theory enables TUMPL to avoid the Fundamental Problem of Intrinsic Preference.