arXiv Open Access 2020

On the Representation and Construction of Equitable Social Welfare Orders

Ram Sewak Dubey Giorgio Laguzzi Francesco Ruscitti

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Abstrak

This paper examines the representation and explicit description of social welfare orders on infinite utility streams. It is assumed that the social welfare orders under investigation satisfy upper asymptotic Pareto and anonymity axioms. We prove that there exists no real-valued representation of such social welfare orders. In addition, we establish that the existence of a social welfare order satisfying the anonymity and upper asymptotic Pareto axioms implies the existence of a non-Ramsey set, which is a non-constructive object. Thus, we conclude that the social welfare orders under study do not admit explicit description.

Topik & Kata Kunci

math.LO

Penulis (3)

Ram Sewak Dubey

Giorgio Laguzzi

Francesco Ruscitti

Format Sitasi

APA MLA BibTeX

Dubey, R.S., Laguzzi, G., Ruscitti, F. (2020). On the Representation and Construction of Equitable Social Welfare Orders. https://arxiv.org/abs/2010.08044

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓