The measurement of ranks and the laws of iterated contraction
The measurement of ranks and the laws of iterated contraction
复制标题
秩的测量和迭代收缩定律
DOI：
10.1016/j.artint.2008.03.002
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
W. Spohn
中科院分区：
文献类型：
--
作者：
M. Hild;W. Spohn
排名理论提供了一个迭代收缩的帐户;每个排名功能导致一个特定的迭代收缩行为。该论文展示了如何从其迭代收缩行为唯一地重建排名函数，直到乘法常数，从而如何在比率尺度上测量排名。因此，它也展示了如何完全公理化的行为。它规定的迭代收缩定律的完整集合修正了文献中迄今为止讨论的定律。
Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper shows how to reconstruct a ranking function from its iterated contraction behavior uniquely up to multiplicative constant and thus how to measure ranks on a ratio scale. Thereby, it also shows how to completely axiomatize that behavior. The complete set of laws of iterated contraction it specifies amend the laws hitherto discussed in the literature.