Continuous utility on connected separable topological spaces

Yann Rébillé

Economic Theory Bulletin, 2019, vol. 7, issue 1, No 11, 147-153

Abstract: Abstract The elaboration of utility theory takes back its source in early economic theory. Despite an obvious practical use for applications and an intuitive appeal, utility theory relies on sophisticated abstract mathematics such as topology. Our interest is primarily on Debreu–Eilenberg’s theorem. On connected separable topological spaces continuous total preorders admit continuous utility representations. We provide a simple proof and derive related results.

Keywords: Continuous utility; Preferences representation; Total preorder; Topological space (search for similar items in EconPapers)
JEL-codes: C60 D11 D60 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s40505-018-0149-4

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