Qualitative probabilities on lambda-systems

Authors
Zhang, JK
Citation
Jk. Zhang, Qualitative probabilities on lambda-systems, MATH SOC SC, 38(1), 1999, pp. 11-20
Citations number
11
Categorie Soggetti
Economics
Journal title
MATHEMATICAL SOCIAL SCIENCES
ISSN journal
01654896 → ACNP
Volume
38
Issue
1
Year of publication
1999
Pages
11 - 20
Database
ISI
SICI code
0165-4896(199907)38:1<11:QPOL>2.0.ZU;2-3
Abstract
The class of unambiguous events in a state space is naturally modeled as a lambda-system. Given a binary 'likelihood' relation greater than or equal t o defined on a lambda-system, this paper provides necessary and sufficient conditions such that greater than or equal to can be represented numericall y by a convex-ranged, countably additive probability measure. (C) 1999 Else vier Science B.V. All rights reserved.