Dynamical Convergence in the Euclidean Spatial Model
نویسنده
چکیده
The -core in Euclidean spatial voting is the set of points that cannot be dislodged by a point more than closer to a simple majority of voter ideal points. If is greater than the yolk radius of the set, then the -core is nonempty. If exceeds twice the yolk radius, then there are no global intransitivities and any sequence of proposals starting from x will reach the -core from x in at most ||x||/(2 − r) steps. An analogous result assures convergence of any supermajority voting sequence, subject to restrictions including a minimum distance between proposals. The results are valid in any dimension.
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