Characterization of Useful Topologies in Mathematical Utility Theory by Countable Chain Conditions
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DOI: 10.3390/axioms11050195
Abstract: Under the additional assumption of complete regularity, we furnish a simple characterization of all the topologies such that every continuous total preorder is representable by a continuous utility function. In particular, we prove that a… read more here.
Keywords: characterization useful; utility theory; topologies mathematical; mathematical utility ... See more keywords