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Topology and Social Choice

In: Mathematical Methods in Economics and Social Choice

Author

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  • Norman Schofield

    (Washington University in Saint Louis)

Abstract

In this chapter we apply earlier results to the study of social choice and modelling elections. In Chap. 3 we showed the Nakamura Theorem. that a social choice could be guaranteed as long as the dimension of the space did not exceed k(σ)=2. We now consider what can happen in dimension above k(σ)=1. We then go on to consider “probabilistic” social choice, where there is some uncertainty over voters’ preferences, by constructing an empirical model of the 2008 U.S. presidential election.

Suggested Citation

  • Norman Schofield, 2014. "Topology and Social Choice," Springer Texts in Business and Economics, in: Mathematical Methods in Economics and Social Choice, edition 2, chapter 6, pages 231-249, Springer.
    • Handle: RePEc:spr:sptchp:978-3-642-39818-6_6
    DOI: 10.1007/978-3-642-39818-6_6
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