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添加478字节 、 2020年9月28日 (一) 08:01
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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:
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* A situation is called '''Pareto optimal''' or '''Pareto efficient''' if it is not Pareto dominated.
 
* A situation is called '''Pareto optimal''' or '''Pareto efficient''' if it is not Pareto dominated.
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* 在一个给定的初始条件下,一个帕累托改进指的是一种不为大多数主体所喜爱但被至少一个主体喜爱的状况。在某种意义上,它是一种一致同意的改进:如果我们处于这种新的情况下,某些主体可能获利,且没有主体会蒙受损失。
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*一种状况如果拥有一个帕累托改进,那么它被称作受帕累托支配的。
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*一种状况如果是不受帕累托支配的,那么它被称作帕累托最优的或帕累托有效的。
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The Pareto frontier is the set of all Pareto efficient allocations, conventionally shown graphically. It also is variously known as the Pareto front or Pareto set.
 
The Pareto frontier is the set of all Pareto efficient allocations, conventionally shown graphically. It also is variously known as the Pareto front or Pareto set.
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帕累托边界是所有帕累托有效配置的集合,按惯例以图表形式显示。它也被称为帕累托前沿或帕累托集。
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帕累托边界是所有帕累托有效分配的集合,按惯例它以图表形式显示。它也被称为帕累托前沿或帕累托集。
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"Pareto efficiency" is considered as a minimal notion of efficiency that does not necessarily result in a socially desirable distribution of resources: it makes no statement about equality, or the overall well-being of a society. It is a necessary, but not sufficient, condition of efficiency.
 
"Pareto efficiency" is considered as a minimal notion of efficiency that does not necessarily result in a socially desirable distribution of resources: it makes no statement about equality, or the overall well-being of a society. It is a necessary, but not sufficient, condition of efficiency.
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“帕累托最优”被认为是一种最低限度的效率概念,它不一定导致社会所期望的资源分配: 它没有对平等或一个社会的总体福祉作出声明。这是效率的必要条件,但不是充分条件。
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“帕累托最优”被认为是一种狭义的效率,它不一定产生社会所期望的资源分配: 它没有为平等或一个社会的总体福祉发声。它是效率的必要不充分条件。
     
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