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Pareto efficiency or Pareto optimality is a situation that cannot be modified so as to make any one individual or preference criterion better off without making at least one individual or preference criterion worse off. The concept is named after Vilfredo Pareto (1848–1923), Italian engineer and economist, who used the concept in his studies of economic efficiency and income distribution. The following three concepts are closely related:
Pareto efficiency or Pareto optimality is a situation that cannot be modified so as to make any one individual or preference criterion better off without making at least one individual or preference criterion worse off. The concept is named after Vilfredo Pareto (1848–1923), Italian engineer and economist, who used the concept in his studies of economic efficiency and income distribution. The following three concepts are closely related:
帕累托效率或帕累托最优是一种不能被修改的情况，它使得任何个体或优先准则变得更好而不使至少一个个体或一项优先准则变得更差。这个概念是以意大利工程师、经济学家维尔弗雷多·帕累托（1848-1923）的名字命名的。他在研究经济效率和收入分配时使用了这个概念。以下三个概念密切相关：
帕累托效率或帕累托最优是一种不能被修改的情况，它使得任何个体或优先准则变得更好而不使至少一个个体或一项优先准则变得更差。这个概念是以意大利工程师、经济学家维尔弗雷多·帕累托（1848-1923）的名字命名的。他在研究'''<font color="#ff8000">经济效率</font>'''和'''<font color="#ff8000">收入分配</font>'''时使用了这个概念。以下三个概念密切相关：
In addition to the context of efficiency in allocation, the concept of Pareto efficiency also arises in the context of efficiency in production vs. x-inefficiency: a set of outputs of goods is Pareto efficient if there is no feasible re-allocation of productive inputs such that output of one product increases while the outputs of all other goods either increase or remain the same.
In addition to the context of efficiency in allocation, the concept of Pareto efficiency also arises in the context of efficiency in production vs. x-inefficiency: a set of outputs of goods is Pareto efficient if there is no feasible re-allocation of productive inputs such that output of one product increases while the outputs of all other goods either increase or remain the same.
除了分配效率的背景之外，帕累托最优的概念也出现在'''<font color="#ff8000">生产效率</font>'''对比于'''<font color="#ff8000">x-低效率</font>'''的背景之下，即如果生产投入没有可行的再分配，或者说一种产品的产出增加，而所有其他产品的产出增加或保持不变，那么一组产品的产出就是帕累托有效的。
Besides economics, the notion of Pareto efficiency has been applied to the selection of alternatives in engineering and biology. Each option is first assessed, under multiple criteria, and then a subset of options is ostensibly identified with the property that no other option can categorically outperform the specified option. It is a statement of impossibility of improving one variable without harming other variables in the subject of multi-objective optimization (also termed Pareto optimization).
Besides economics, the notion of Pareto efficiency has been applied to the selection of alternatives in engineering and biology. Each option is first assessed, under multiple criteria, and then a subset of options is ostensibly identified with the property that no other option can categorically outperform the specified option. It is a statement of impossibility of improving one variable without harming other variables in the subject of multi-objective optimization (also termed Pareto optimization).
除了经济学，帕累托最优的概念已经应用到工程和生物学中的替代品的选择。首先根据多项标准对每个选项进行评估，然后确定选项子集，其中的任何元素都具有没有其他选项可以明确胜过该元素的属性。在'''<font color="#ff8000">多目标优化</font>'''(又称帕累托优化)中，这是一种对在不损害其他变量的情况下改进一个变量的不可能性的陈述。