arXiv Open Access 2024

New characterizations of completely useful topologies in mathematical utility theory

Gianni Bosi Roberto Daris Gabriele Sbaiz

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Abstrak

Let $X$ be an arbitrary set. Then a topology $t$ on $X$ is said to be completely useful if every upper semicontinuous linear (total) preorder $\precsim$ on $X$ can be represented by an upper semicontinuous real-valued order preserving function. In this paper, appealing, simple and new characterizations of completely useful topologies will be proved, therefore clarifying the structure of such topologies.

Topik & Kata Kunci

econ.TH math.GN

Penulis (3)

Gianni Bosi

Roberto Daris

Gabriele Sbaiz

Format Sitasi

APA MLA BibTeX

Bosi, G., Daris, R., Sbaiz, G. (2024). New characterizations of completely useful topologies in mathematical utility theory. https://arxiv.org/abs/2402.18324

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓