Citation:
Weinberger, S. . (2002). On the Topological Social Choice Problem. Discussion Papers. presented at the 1, Social Choice and Welfare 18 (2001), 227-250. Retrieved from /files/dp282.pdf
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.