Technical Report Existence Theorems of Continuous Social Aggregation for Infinite Discrete Alternatives

CHEN, Stacey H.  ,  HUANG, Wu-Hsiung

17-092017-09 , GRIPS Policy Research Center
This paper considers the infinite alternative case to prove the existence of continuous social welfare aggregation that is anonymous and respects the unanimity. It clarifies the controversy between Chichilnisky (1982, QJE) and Huang for their contradictory results for the continuum case. Compared to their topological frameworks, the infinite alternative case is easier to understand and pinpoint their difference.
We gratefully acknowledge the funding from the GRIPS Research Award and the JSPS Kakenhi Grant Number JP 17H02537.

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