Mathematical Topics on Representations of Ordered Structures and Utility Theory Essays in Honor of Professor Ghanshyam B Mehta 263 Studies in Systems, Decision and Control

Topology and preference relations.- The existence and the non-existence of utility functions.- Open questions in Utility Theory.- Representations of interval orders on connected separable.- Searching for a Debreu's open gap lemma for semiorders.- A note on Candeal and Indurain’s semiorder separability.- Chain Representations of Nested Families of Biorders.- A note on representable group topologies.- Preferences in abstract convex structures.- Strictly monotonic preferences.- Continuity and continuous multi-utility representations.- Jointly continuous multy-utility representation.- Subjective States without the Completeness Axiom.- Preference for Flexibility: A Continuous Representation.- The Arrow-Hahn Construction in a locally compact.- Continuous Utility Representation of Fuzzy Preferences.- Similarity relation by using money-metric utility functions.- The interplay between intergenerational justice.- Comparative Risk Aversion for State-Dependent Preferences.