A characterization of random min–max domains and its applications
A characterization of random min–max domains and its applications
复制标题
随机最小-最大域的表征及其应用
DOI：
10.1007/s00199-018-1149-1
复制
发表时间：
2018
期刊：
影响因子：
1.3
通讯作者：
Soumya Sadhukhan
中科院分区：
文献类型：
--
作者：
Souvik Roy;Soumya Sadhukhan
我们证明，当且仅当它是随机最小最大规则时，顶部连接的单峰域上的随机规则是一致的并且是策略证明的。作为该结果的副产品，可以得出结论，顶部连接的单峰域对于随机规则来说是仅顶部的。我们进一步提供了随机最小-最大域的表征。
We show that a random rule on a top-connected single-peaked domain is unanimous and strategy-proof if and only if it is a random min–max rule. As a by-product of this result, it follows that a top-connected single-peaked domain is tops-only for random rules. We further provide a characterization of the random min–max domains.