论文标题
根据可能性偏好图来重新规定价值限制和不分解的价值限制
Reformulating the Value Restriction and the Not-Strict Value Restriction in Terms of Possibility Preference Map
论文作者
论文摘要
在社会选择理论中，森的价值限制和帕塔奈克的非刻痕价值限制既是测试社会偏好传递性的有吸引力的条件，也是/或非空的社会选择集合的存在。本文介绍了一种新颖的数学表示工具，称为“可能性偏好图”（PPM），用于较弱的顺序，然后根据PPM进行重新重新规定价值限制和不分解的价值限制。重新制定的所有内容都显得优雅，因为它们采取了Minmax的形式。
In social choice theory, Sen's value restriction and Pattanaik's not-strict value restriction are both attractive conditions for testing social preference transitivity and/or non-empty social choice set existence. This article introduces a novel mathematical representation tool, called possibility preference map (PPM), for weak orderings, and then reformulates the value restriction and the not-strict value restriction in terms of PPM. The reformulations all appear elegant since they take the form of minmax.
