Open questions in utility theory

Throughout this paper, our main idea is to explore different classical questions arising in Utility Theory, with a particular attention to those that lean on numerical representations of preference orderings. We intend to present a survey of open questions in that discipline, also showing the state-of-art of the corresponding literature.This work is partially supported by the research projects ECO2015-65031-R, MTM2015-63608-P (MINECO/ AEI-FEDER, UE), and TIN2016-77356-P (MINECO/ AEI-FEDER, UE)

Hereditarily Lindelöf products and Luzin sets

AbstractIt is shown that the nonexistence of a Luzin set is equivalent to a (supposedly ZFC) statement by M.E. Rudin which gives conditions under which ccc and hereditary Lindelöfness are equivalent for products of (totally) ordered spaces. By slightly modifying these conditions, a (perhaps strongest) true result is obtained