Mathematical Topics on Representations of Ordered Structures and Utility Theory

Essays in Honor of Professor Ghanshyam B. Mehta

Inbunden, Engelska, 2020

AvGianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain,Maria J. Campion

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This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures.

Produktinformation

Utgivningsdatum2020-01-24
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieStudies in Systems, Decision and Control
Antal sidor368
FörlagSpringer Nature Switzerland AG
ISBN9783030342258

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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.