Social Welfare Evaluation and Intergenerational Equity by Kohei Kamaga

Author:Kohei Kamaga
Language: eng
Format: epub
ISBN: 9789811542541
Publisher: Springer Singapore

(3.7)

The generalized catching-up criterion was analyzed by Asheim and Banerjee (2010) using a proliferating sequence of finite-horizon Paretian and anonymous orderings.

The following theorem shows that the catching-up criterion associated with an independent sequence of finite-horizon orderings is a finitely complete social welfare quasi-ordering. It also characterizes the asymmetric and symmetric parts of it.

Lemma 3.10

Let be an independent sequence of finite-horizon orderings. associated with is a finitely complete quasi-ordering on . For any ,

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