A foundation for Pareto optimality
在社会选择理论框架下,通过引入新的独立性条件(P-独立性),结合三个自然假设,证明了社会选择集与帕累托最优集等同,为帕累托最优性提供了公理化基础。
Can an axiomatic justification be given for the requirement that society picks all and only Pareto optimal alternatives at each profile of individual preferences? Using the framework of fixed-agenda social choice theory, we present a characterization of the Pareto optimal social choice correspondence. We introduce a new independence condition, P-independence. When combined with three natural assumptions, P-independence leads to the conclusion that the social choice set and the Pareto optimal set are the same.