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Paretian evaluation of infinite utility streams: an egalitarian criterion. (English) Zbl 1203.91073
Summary: We prove that Partial Pareto social welfare functions that verify Restricted Non-Substitution and Anonymity exist, and that there are explicit expressions of Strongly Paretian social welfare functions with Restricted Non-Substitution, when each generation’s utilities lie in $$\mathbb N\cup \{0\}$$.

##### MSC:
 91B15 Welfare economics 91B14 Social choice
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##### References:
 [1] Asheim, G.B.; Tungodden, B., Do koopmans’ postulates lead to discounted utilitarianism?, () [2] Asheim, G.B.; Mitra, T.; Tungodden, B., A new equity condition for infinite utility streams and the possibility of being Paretian, () [3] Banerjee, K., On the equity-efficiency trade off in aggregating infinite utility streams, Economics letters, 93, 6367, (2006) [4] Basu, K.; Mitra, T., Aggregating infinite utility streams with intergenerational equity: the impossibility of being Paretian, Econometrica, 71, 1557-1563, (2003) · Zbl 1153.91648 [5] Basu, K.; Mitra, T., Possibility theorems for aggregating infinite utility streams equitably, () [6] Diamond, P.A., The evaluation of infinite utility streams, Econometrica, 33, 170-177, (1965) · Zbl 0127.36602 [7] Lauwers, L., Intertemporal objective functions: strong Pareto versus anonymity, Mathematical social sciences, 35, 37-55, (1998) · Zbl 0926.91015
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