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Pareto efficiency in multiple referendum

机译:多次公投的帕累托效率

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摘要

We consider situations of multiple referendum: finitely many yes-or-no issues have to be socially assessed from a set of approval ballots, where voters approve as many issues as they want. Each approval ballot is extended to a complete preorder over the set of outcomes by means of a preference extension. We characterize, under a mild richness condition, the largest domain of top-consistent and separable prefer ence extensions for which issue-wise majority voting is Pareto efficient, i.e., always yields out a Pareto-optimal outcome. Top-consistency means that voters' ballots are their unique most preferred outcome. It appears that the size of this domain becomes negligible relative to the size of the full domain as the number of issues increases.
机译:我们考虑了多次全民投票的情况:必须从一组批准投票中对社会上必须解决的问题进行有限的社会评估,选民可以根据需要批准尽可能多的问题。通过首选项扩展,每次批准投票都将扩展到针对该结果集的完整预订。我们在温和的富裕条件下表征最大的一致和可分离的偏好扩展范围,在这种范围内,问题优先多数投票是帕累托有效的,即始终产生帕累托最优结果。高度一致意味着选民的选票是他们独特的首选结果。似乎随着问题数量的增加,该域的大小相对于整个域的大小可以忽略不计。

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