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This paper studies the constructive nature of social welfare orders on infinite utility streams defined on X = Yℕ, satisfying the Pigou-Dalton transfer principle (PD), which are known to be representable (see Alcantud (2010) and Sakamoto (2012)). We describe the restrictions on domain Y for explicit representation or construction of the social welfare orders satisfying (i) PD and monotonicity; or (ii) PD only. We show that the restrictions on Y for either (a) construction; or (b) explicit representation of the social welfare orders are identical in both cases.

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Dubey, R. S. (2016). A note on social welfare orders satisfying Pigou-Dalton transfer principle. Hitotsubashi Journal of Economics, 243-262.

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