A note on social welfare orders satisfying Pigou-Dalton transfer principle

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Abstract

This paper studies the constructive nature of social welfare orders on infinite utility streams defined on X = Y, 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.

Original languageEnglish
JournalHitotsubashi Journal of Economics
Volume57
Issue number2
StatePublished - Dec 2016

Keywords

  • Construction
  • Correspondence principle
  • Non-Ramsey Set
  • Pigou-Dalton transfer principle
  • Representation
  • Social welfare orders

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