We propose generalized versions of strong equity and Pigou–Dalton transfer principle. We study the existence and the real-valued representation of social welfare relations satisfying these two generalized equity principles. Our results characterize the restrictions on one period utility domains for the equitable social welfare relations (i) to exist; and (ii) to admit real-valued representations.

中文翻译：

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无限效用流上的公平偏好关系

我们提出了强权益和庇古-道尔顿转移原则的广义版本。我们研究满足这两个广义公平原则的社会福利关系的存在和实值表示。我们的结果描述了公平社会福利关系（i）存在对一个时期效用领域的限制；(ii) 接受实值表示。