论文标题
描述森在不平等和方程式中的传播条件
Describing Sen's Transitivity Condition in Inequalities and Equations
论文作者
论文摘要
在社会选择理论中，SEN的价值限制条件是一个充分的条件，仅限于个人的序曲偏好，以便在多数决策规则下获得传递的社会偏好。在本文中，通过使用不平等和方程来描述SEN的传播条件。首先，对于替代方案的三倍，个人的偏好由优先映射表示，其条目是包含从个人对这些替代方案的三倍的个人喜好得出的排名位置或位置。其次，通过使用集合的联合操作和基数概念，SEN的传递性条件由不平等描述。最后，通过使用集合的成员函数，SEN的传递性条件由方程式进一步描述。
In social choice theory, Sen's value restriction condition is a sufficiency condition restricted to individuals' ordinal preferences so as to obtain a transitive social preference under the majority decision rule. In this article, Sen's transitivity condition is described by use of inequality and equation. First, for a triple of alternatives, an individual's preference is represented by a preference map, whose entries are sets containing the ranking position or positions derived from the individual's preference over that triple of those alternatives. Second, by using the union operation of sets and the cardinality concept, Sen's transitivity condition is described by inequalities. Finally, by using the membership function of sets, Sen's transitivity condition is further described by equations.
