On the Topological Social Choice Problem

Preprint
Publisher Website
Google Scholar
  • 1 January 2002
    • preprint
      • Published in RePEc
Abstract
Extending earlier work of Chichilnisky and Heal, we show that any connected space of the homotopy type of a finite complex admitting a continuous symmetric choice function respeting unanimity is contractible for any fixed finite number (>1) of agents. On the other hand, removing the finiteness condition on the homotopy type, we show that there are a number of non-contractible spaces that do admit such choice functions, for any number of agents, and, characterize precisely those spaces.
All Related Versions

This publication has 0 references indexed in Scilit: