Some foundations for empirical study in the Euclidean spatial model of social choice
Tovey, Craig A.
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Recent results are surveyed, and some new results are given, that contribute towards a theoretical and computational basis for empirical study in the Euclidean spatial model. The results are of two types: asymptotic statistical consistency of sample estimators, and algorithmic methods for recovering spatial locations and computing various solution concepts. The new results are: the asymptotic consistency of the sample yolk center and epsilon- core; NP-completeness of the 1-dimensional spatial location recovery system; a modification of the Poole-Rosenthal heuristic for multidimensional recovery; and fast algorithms to compute Simpson-Cramer points and supermajority win sets in fixed dimension
NPS Report NumberNPS-OR-91-025
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