Artículos de revistas
Sets of probability distributions, independence, and convexity
Fecha
2012Registro en:
Synthese, Dordrecht, v. 186, n. 2, supl. 1, Part 8, p. 577-600, May, 2012
0039-7857
10.1007/s11229-011-9999-0
Autor
Cozman, Fabio Gagliardi
Institución
Resumen
This paper analyzes concepts of independence and assumptions of convexity in the theory of sets of probability distributions. The starting point is Kyburg and Pittarelli's discussion of "convex Bayesianism" (in particular their proposals concerning E-admissibility, independence, and convexity). The paper offers an organized review of the literature on independence for sets of probability distributions; new results on graphoid properties and on the justification of "strong independence" (using exchangeability) are presented. Finally, the connection between Kyburg and Pittarelli's results and recent developments on the axiomatization of non-binary preferences, and its impact on "complete" independence, are described.