论文信息 - Utility in Case-Based Decision Theory

Utility in Case-Based Decision Theory

This paper provides two axiomatic derivations of a case-based decision rule. Each axiomatization shows that, if preference orders over available acts in various contexts satisfy certain consistency requirements, then these orders can be numerically represented by maximization of a similarity-weighted utility function. In each axiomatization, both the similarity function and the utility function are simultaneously derived from preferences, and the axiomatic derivation also suggests a way to elicit these theoretical concepts from in-principle observable preferences. The two axiomatizations differ in the type of decisions that they assume as data. Journal of Economic Literature Classification Number: D80.

[1] P. Wakker,et al. A Tool for Qualitatively Testing , Quantitatively Measuring , and Normatively Justifying Expected Utility , 2022 .

[2] Itzhak Gilboa,et al. Act similarity in case-based decision theory , 1997 .

[3] P. Wakker. Additive Representations of Preferences: A New Foundation of Decision Analysis , 1988 .

[4] Roger B. Myerson,et al. Axiomatic derivation of scoring rules without the ordering assumption , 1993 .

[5] F. Ramsey. The Foundations of Mathematics and Other Logical Essays , 2001 .

[6] Peter C. Fishburn,et al. Utility theory for decision making , 1970 .

[7] I. Gilboa,et al. Inductive Inference: An Axiomatic Approach , 2001 .

[8] Henry E. Kyburg,et al. Studies in Subjective Probability , 1965 .

[9] H. Young. Social Choice Scoring Functions , 1975 .

[10] B. D. Finetti. La prévision : ses lois logiques, ses sources subjectives , 1937 .

[11] J. H. Smith. AGGREGATION OF PREFERENCES WITH VARIABLE ELECTORATE , 1973 .

[12] I. Gilboa,et al. Case-Based Decision Theory , 1995 .

[13] F. J. Anscombe,et al. A Definition of Subjective Probability , 1963 .

[14] Itzhak Gilboa,et al. A theory of case-based decisions , 2001 .

[15] Faruk Gul,et al. Savagés theorem with a finite number of states , 1992 .