Political spectrum: Difference between revisions

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* a '''distance function''' d: V × V → ℜ that is positive definite and symmetric and satisfies the triangle inequality. Ballots are determined from the assumption that voters prefer candidates which are closer (according to this distance function) to them.
* a '''distance function''' d: V × V → ℜ that is positive definite and symmetric and satisfies the triangle inequality. Ballots are determined from the assumption that voters prefer candidates which are closer (according to this distance function) to them.


==1 Dimension==
The simplest example of a political spectrum is the [[uniform linear political spectrum]], in which n=1, v(x)=1, and d(x,y)=|x-y|.


The simplest example of a political spectrum is the [[uniform linear political spectrum]], in which n=1, v(x)=1, and d(x,y)=|x-y|. The directions on this spectrum are normally referred to as left and right.
Statistics that can be computed from a political spectrum and a set of candidates include:


==2 Dimension==

[[File:Political Compass.jpg]]

==Calculations==

Statistics that can be computed from a political spectrum and a set of candidates include:
* [[Centrist bias]]
* [[Centrist bias]]
* [[Mean minimum political distance]]
* [[Mean minimum political distance]]