Transitivity in the small and in the large for states-additive SSB utilities

Transitivity in the small and in the large for states-additive SSB utilities

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Article ID: iaor1989280
Country: Switzerland
Volume: 19
Start Page Number: 247
End Page Number: 272
Publication Date: May 1989
Journal: Annals of Operations Research
Authors: ,
Abstract:

Starting with induced state-conditional preferences for an additive and potentially state-dependent SSB utility model, the authors investigate the effects of transitive preference on various super-sets of a set of available lottery acts, Sufficient richness of the act set forces transitive preferences to be fully linear; failing such richness, transitive but nonlinear preferences may obtain.

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