We explore the implications of three basic and intuitive axioms for income redistribution problems: continuity, no transfer paradox and stability. The combination of the three axioms characterizes in the two-agent case a large family of rules, which we call threshold rules. For each level of total income in society, a threshold is considered for each agent. It is impossible for both agents to be below their respective thresholds. If an agent’s income is below the threshold, the difference is redistributed from the other agent; otherwise, the rule imposes laissez-faire.

中文翻译：

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双边再分配

我们探讨了三个基本和直观的公理对收入再分配问题的影响：连续性、无转移悖论和稳定性。这三个公理的组合在两个代理的情况下表征了一个大的规则族，我们称之为阈值规则。对于社会总收入的每个水平，每个代理都会考虑一个阈值。两个代理都不可能低于各自的阈值。如果代理人的收入低于门槛，则差额从其他代理人处重新分配；否则，该规则实行自由放任。