On the topological social choice model |
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Authors: | Shmuel Weinberger |
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Institution: | Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, IL, 60637, USA |
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Abstract: | The main goal of this paper is to show that if a finite connected CW complex admits a continuous, symmetric, and unanimous choice function for some number n>1 of agents, then the choice space is contractible. On the other hand, if one removes the finiteness, we give a complete characterization of the possible spaces; in particular, noncontractible spaces are indeed possible. These results extend earlier well-known results of Chichilnisky and Heal. |
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Keywords: | D71 |
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