Limitations of spatial models of voting: Difference between revisions
Limitations of spatial models of voting (view source)
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(I no longer want to merge this with Spatial model of voting, but rather rename from Dimensional limitations of the spatial model to Limitations of the spatial model) |
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{{rename|from=Dimensional limitations of the spatial model|to=Limitations of the spatial model|date=January 2023}}
However, the number of dimensions chosen for this geometric embedding imposes fundamental restrictions on the allowed number of candidates which may be effectively distinguished by the voters using ballots, as there is only a finite number of regions possible for each possible ranking assignment of candidates.
The following article discusses this limitation and some implications. The specific numerical results below assume an Euclidean space and Euclidean distances, but similar qualitative arguments apply to any spatial model and chosen metric.
==How many ballots could voters ''actually'' cast?==
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