Abstract
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.
Original language | English |
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Journal | Hitotsubashi Journal of Economics |
Volume | 57 |
Issue number | 2 |
State | Published - Dec 2016 |
Keywords
- Construction
- Correspondence principle
- Non-Ramsey Set
- Pigou-Dalton transfer principle
- Representation
- Social welfare orders