Browsing by Subject "Semiorder"

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    Another characterization of expected Scott-Suppes Utility Representation
    (2021-01) Yıldız, Furkan
    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.
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    Expected Scott-Suppes utility representation
    (Academic Press, 2018) Dalkıran, Nuh Aygün; Dokumacı, O. E.; Kara, Tarık
    We provide an axiomatic characterization for an expected Scott-Suppes utility representation. Such a characterization is the natural analog of the von Neumann-Morgenstern expected utility theorem for semiorders and it is noted as an open problem by Fishburn (1968). Expected Scott-Suppes utility representation is analytically tractable and can be used in applications that study preferences with intransitive indifference under uncertainty. Our representation offers a decision-theoretical interpretation for epsilon equilibrium as well.
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    Intransitive indifference under uncertainty
    (2017-07) Dokumacı, Oral Ersoy
    We study preferences with intransitive indifference under uncertainty. Our primitive objects are semiorders and we are interested in their Scott-Suppes representations. We obtain a Scott-Suppes representation theorem in the spirit of the celebrated expected utility theorem of von Neumann and Morgenstern (1944).