偏序集的部分共轭性与偏序性
Partial-conjugates and Dimensionality of Posets
摘要:
偏好剖面的帕累托优势关系是偏序关系(不对称部分)。对于任何整数n,生成给定Pareto支配关系的n-代理偏好配置文件的存在性问题是调查偏序的维数。我们给出了一般情况下维数为n的偏序的一个刻画。
英文摘要:
The Pareto dominance relation of a preference profile is (the asymmetric part of) a partial order. For any integer n, the problem of the existence of an n-agent preference profile that generates the given Pareto dominance relation is to investigate the dimension of the partial order. We provide a characterization of a partial order having dimension n in general.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。