A Class of Practical and Acceptable Social Welfare Orderings That Satisfy the Principles of Aggregation and Non-Aggregation: Reexamination of the Tyrannies of Aggregation and Non-Aggregation

Norihito Sakamoto

No 12, RCNE Discussion Paper Series from Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University

Abstract: This paper revisits impossibility results on the tyrannies of aggregation and non-aggregation. I propose two aggregation principles --quantitative aggregation and ratio aggregation—and investigate theoretical implications. As a result, I show that quantitative aggregation and minimal non-aggregation are incompatible while ratio aggregation and minimal non-aggregation are compatible under the assumption of standard axioms in social choice theory. Furthermore, this study provides a new characterization of the leximin rule by using replication invariance and the strong version of non-aggregation. Finally, I propose a class of practical and acceptable social welfare orderings that satisfy the principles of aggregation and non-aggregation, which has various advantages over the standard rank-discounted generalized utilitarianism.

Pages: 24 pages
Date: 2024-02
New Economics Papers: this item is included in nep-upt
Note: First Version: September 29, 2023, This Version: February 25, 2024
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