Extensive Measurement: Continuous Additive Utility Functions on Semigroups
نویسندگان
چکیده
We study continuity in extensive measurement which is related to the existence of continuous additive utility functions on semigroups. In the particular case of groups we obtain a continuous version of the classical Ho lder's theorem on Archimedeaness, and in the general case we introduce some conditions that guarantee additive representability, and then we analyze when they are good enough to get continuity in additive representations. Positive results are obtained when the structure considered is a topological totally ordered semigroup. ] 1996 Academic
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