On a Marinacci uniqueness theorem for measures

Journal of Mathematical Analysis and Applications

Volumn 286, Issue 2, 2003, Pages 378-390

  Avallone, Anna ^a   Basile, Achille ^b  

^a UNIVERSITY OF BASILICATA   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Convex ranged measures; D posets; Modular functions

Indexed keywords

EID: 0242593201     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00274-9     Document Type: Article

References (15)

1. A. Avallone, G. Barbieri, Range of finitely additive fuzzy measures, Fuzzy Sets and Systems 89 (1997) 231-241.
2. G. Barbieri, Liapunov's theorem for measures on D-posets, Internat. J. Theoret. Phys., forthcoming.
3. H. Bauer, Probability Theory and Elements of Measure Theory, Academic Press, 1981.
4. E.G. Beltrametti, G. Cassinelli, The Logic of Quantum Mechanics, Addison-Wesley, Reading, MA, 1981.
5. K.P.S. Bhaskara Rao, M. Bhaskara Rao, Theory of Charges, Academic Press, 1983.
6. D. Butnariu, P. Klement, Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Academic, 1993.
7. L.G. Epstein, J. Zhang, Subjective probabilities on subjectively unambiguous events, Econometrica 69 (2001) 265-306.
8. I. Fleischer, T. Traynor, Group-valued modular functions, Algebra Universalis 14 (1982) 287-291.
9. M. Marinacci, A uniqueness theorem for convex-ranged probabilities, Decis. Econom. Finance 23 (2000) 121-132.
10. M. Marinacci, Probabilistic sofistication and multiple priors, Econometrica 70 (2002) 755-764.
11. T. Neubrunn, B. Riecan, Integral, Measure and Ordering, Kluwer Academic, 1997.
12. P. Ptak, S. Pulmannova, Orthomodular Structures as Quantum Logics, Kluwer Academic, 1991.
13. H. Weber, Uniform Lattices I: A generalization of topological Riesz space and topological Boolean rings, Ann. Mat. Pura Appl. 160 (1991) 347-370.
14. H. Weber, Uniform lattices II, Ann. Mat. Pura Appl. 165 (1993) 133-158.
15. H. Weber, On modular functions, Funct. Approx. XXIV (1996) 35-52.