Transitivity in the small and in the large for states-additive SSB utilities |
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| Authors: | Irving H LaValle Peter C Fishburn |
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| Institution: | (1) A.B. Freeman School of Business, Tulane University, 70118 New Orleans, LA, USA;(2) AT&T Bell Laboratories, 600 Mountain Avenue, 07974 Murray Hill, NJ, USA |
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| Abstract: | Starting with induced state-conditional preferences for an additive and potentially state-dependent SSB utility model, we investigate the effects of transitive preferences 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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