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Correspondences in the Theory of Aggregation

机译:聚集理论的对应关系

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摘要

The paper studies the interrelationships between the social-theoretic problems of preference and judgment aggregation from the perspective of formal logic. The result of the paper is twofold. On the one hand, preference aggregation on total preorders is proven equivalent to the aggregation of specific types of judgments. On the other hand, judgment aggregation on propositional logic is proven equivalent to the aggregation of specific types of preferences. This shows how the aggregation of preferences and judgments can be viewed, in fact, as the two faces of a same coin.
机译:本文从正式逻辑角度研究了偏好和判断汇总的社会理论问题之间的相互关系。纸张的结果是双重的。一方面,总预算的偏好聚集是相当于特定类型判断的聚合。另一方面,证明逻辑的判断聚集是相当于特定类型的偏好的聚合。这表明如何看待偏好和判断的聚合,实际上是同一硬币的两个面。

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