This paper studies the topological approach to social choice theory initiated by G. Chichilnisky (1980), extending it to the case of a continuum of agents. The social choice rules are continuous anonymous maps defined on preference spaces which respect unanimity. We establish that a social...

We show that any complete, lower-semicontinuous, and translation-invariant preorder defined on a topological vector space admits a linear and continuous utility representation.

We show that any complete, lower-semicontinuous, and translation- invariant preorder defined on a topological vector space admits a linear and continuous utility representation.

The purpose of this addendum is to correct some results published in our paper "Some issues related to the topological aggregation of preferences" (SCW (1992) 9: 213-227). <!--ID="" Acknowledgements. Thanks are given to Prof. Boris A. Efimov and Gleb A. Koshevoy (Moskow, Russia), Luc Lauwers (Leuven, Belgium) and Michael Sunderland (Oxford, U.K.) for their valuable suggestions and comments.-->