Probabilities as similarity-weighted frequencies

Econometrica

Volumn 73, Issue 4, 2005, Pages 1125-1136

  Billot, Antoine ^a   Gilboa, Itzhak ^b,c   Samet, Dov ^b   Schmeidler, David ^b,d  

^a UNIVERSITÉ PANTHÉON ASSAS   (France)

^b TEL AVIV UNIVERSITY   (Israel)

^c YALE UNIVERSITY   (United States)

^d OHIO STATE UNIVERSITY   (United States)

Author keywords

Case based reasoning; Probability; Relative frequencies; Similarity

Indexed keywords

EID: 27844436123     PISSN: 00129682     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1468-0262.2005.00611.x     Document Type: Article

References (8)

1. ANSCOMBE, F. J., AND R. J. AUMANN (1963): "A Definition of Subjective Probability," The Annals of Mathematics and Statistics, 34, 199-205.
2. BILLOT, A., I. GILBOA, AND D. SCHMEIDLER (2004): "An Axiomatization of an Exponential Similarity Function," Mimeo, University of Tel Aviv.
3. CHEW, S. H. (1983): "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrtca, 51, 1065-1092.
4. DE FlNETTl, B. (1937): "La Prevision: Ses Lois Logiques, Ses Sources Subjectives," Annales de l'Institut Henri Poincarè, 7, 1-68.
5. GILBOA, I., AND D. SCHMEIDLER (2003): "Inductive Inference: An Axiomatic Approach,"Econometrica, 71, 1-26.
6. GILBOA, I., O. LIEBERMAN, AND D. SCHMEIDLER (2004): "Empirical Similarity," Foerder Institute Working Paper No. 15-04 and Cowles Foundation Discussion Paper No. 1486.
7. RAMSEY, F. P. (1931): "Truth and Probability," The Foundation of Mathematics and Other Logical Essays. New York: Harcourt Brace.
8. SAVAGE, L. J. (1954): The Foundations of Statistics. New York: John Wiley & Sons.