minkowskiDistancePairOfPoints: minkowskiDistancePairOfPoints

In robiRagan/voteR: Spatial Voting Models in R

Description

Calculates the sailence weighted Minkowski distance between a pair of points.

Usage

minkowskiDistancePairOfPoints(
  idealVector,
  altVector,
  orderScalar,
  salienceVector
)

Arguments

orderScalar	The “order" of the Minkowski Distance being used. In this packge it should be an element of [1,100]. Examples for cases where the salience on all dimensions is equal: 1 = Manhattan Distance. diamond shaped indifference curves, perfect substitutes. 2 = Euclidian Distance. If salience on all dimensions is equal, circular indifference curves. 100 = Aproximates Chebyshev Distance. If salience on all dimensions is equal square indifference curves, perfect compliments.
salienceVector	A vector of doubles that is numberOfDimensions long: <sd1, sd2, sd3, ... sdk>. Each element of the vector represents the *relative* saliance of each dimension for the voter. The dimension with the lowest salience serves as the "numeraire" dimension and should recieve a salience of 1. All the other saliences are expressed in units of this "numeraire". So if a dimension is twice as important to a voter as the numeraire dimension it recieves a salience of 2. Example: 1 3 1. The salience of dimension 1 (or 3), is the numeraire, dimension 2 is three times as saient as dimension 1 and dimesnion 3 is equally as salient as dimension one.
idealsPoint	A 1 x numberDimensions vector of numerics. Each column is a dimension in the policy space, <d1,d2,...dn>.
altPoint	A 1 x numberDimensions vector of numerics. Each column is a dimension in the policy space, <d1,d2,...dn>.

Details

This function will find the salience weighted Minkowski Distance between a pair of points. For example an ideal point and an alternative.

Value

distVector A 1 x numAlts matrix that contains the Minkowski Distance between the ideal point and alternative, weighted by a voter's salience and Minkowski order. The sailence and the Minkowski order together determine a voter's utility function.

See Also

Other minkowski: minkowskiDistanceSets(), minkowskiUtilitySets(), prefOrderMinko()

Other utility functions: minkowskiDistanceSets(), minkowskiUtilitySets(), prefOrderMinko()

robiRagan/voteR documentation built on Feb. 27, 2020, 6:48 p.m.