The purpose of this study is to investigate a relationship between egalitarian equivalence and envy-freeness in a continuum-agent economy, where tastes vary continuously across individuals. Under efficiency, the two criteria of equity are not compatible, except in the knife-edge case. In particular, when individual utility functions are restricted to the class of Cobb–Douglas-type functions, there exists an efficient, egalitarian-equivalent, and envy-free allocation if and only if all individuals have the same taste over commodities.

中文翻译：

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连续代理经济中的均等主义与嫉妒自由的相容性

这项研究的目的是调查在个体连续不断的口味变化的连续媒介经济中，平等平等与嫉妒自由之间的关系。在效率下，除了刀刃的情况外，这两个公平标准是不相容的。特别是，当单个效用函数仅限于Cobb–Douglas型函数的类别时，当且仅当所有个体对商品具有相同的品味时，才存在有效的，平等的，无羡慕的分配。