Another characterization of expected Scott-Suppes Utility Representation

Abstract

This thesis provides a new characterization of Expected Scott-Suppes Utility Representation (ESSUR). ESSUR combines the Expected Utility Repre-sentation with the Scott-Suppes Utility Representation. The latter represents semiorders that formalize preferences with intransitive indi˙erences. Dalkıran, Dokumacı, and Kara (2018) were the first to provide an axiomatic character-ization of ESSUR. In this study, we provide another characterization start-ing with the axioms of Candeal and Indurain (2010). Candeal and Indurain (2010) provide an axiomatic characterization of Scott-Suppes representations for semiorders on uncountably infinite sets. Therefore, we identify the axioms required on top of those of Candeal and Indurain (2010) so that we obtain a linear Scott-Suppes representation, i.e., another characterization of ESSUR.