On the representation and construction of equitable social welfare orders
Dubey, Ram Sewak Laguzzi, Giorgio Ruscitti, Francesco
Dubey, Ram Sewak
Laguzzi, Giorgio
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Abstract
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.
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2020
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Keywords
Anonymity, Non-Ramsey set, Social welfare function, Social welfare order, Upper asymptotic pareto
Citation
Dubey, Ram Sewak, Giorgio Laguzzi, and Francesco Ruscitti. “On the representation and construction of equitable social welfare orders”. Mathematical Social Sciences 107: September 17-22. 2020.