A characterization of maximin : Corrigendum
A characterization of maximin : Corrigendum
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maximin 的表征：勘误表
DOI：
10.1007/s40505-014-0033-9
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发表时间：
2014
影响因子：
0.3
通讯作者：
Kaname Miyagishima with K. Bosmans and E. Ooghe
中科院分区：
文献类型：
--
作者：
Michele Lombardi;Kaname Miyagishima;Roberto Veneziani;Kaname Miyagishima with K. Bosmans and E. Ooghe
证明设R是Rn上满足连续性、弱Pareto和弱Hammond公平的拟序。考虑两个效用向量u，v∈，Rn。首先，我们必须证明u(1)>；v(1)蕴含UPV。设I∈N使得vi=v(1)。构造向量w，z∈Rn，使得vi<；wi<；zi<；z(2)=z(3)=···=z(N)<；u(1)≤max(u(N)，v(N))<；w(2)=w(3)=··=w(N)。
Proof Let R be a quasi-ordering on Rn that satisfies continuity, weak Pareto and weak Hammond equity. Consider two utility vectors u, v∈ Rn. First, we have to show that u (1)> v (1) implies uPv. Let i∈ N be such that vi= v (1). Construct vectors w, z∈ Rn such that vi< wi< zi< z (2)= z (3)=···= z (n)< u (1)≤ max (u (n), v (n))< w (2)= w (3)=···= w (n).