Note on lexicographic-order preservation and stochastic dominance

✍ Scribed by Irving H. Lavalle; Peter C. Fishburn

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 70 KB
• Volume: 8
• Category: Article
• ISSN: 1057-9214
• DOI: 10.1002/(sici)1099-1360(199903)8:2<71::aid-mcda232>3.0.co;2-g

✦ Synopsis

This note concerns two issues left unresolved in our study of lexicographic-order preservation and stochastic dominance in settings where preferences are represented by utility vectors, ordered lexicographically, and judgements emerge as matrices that premultiply utility vectors in expected utility sums. First, a generalization of the 'Conjecture S', which implied transitivity of a stochastic dominance relation under non-vacuous resolutionlevel information, is proved. Second, this paper comments on using resolution-level information in higher as well as in first degree stochastic dominance analysis.