#' isInParetoSetForVoterAndAltsDataFrame
#' Finds the indifference curves for the set of voterDataFrames provided.
#'
#' @param alternativeToCheck An R vector that contains the corrdinates of the alternative that you want to check.
#'
#' @param votersDataFrame The voters data frame must have a specific format, and it must be an R data.frame object. There must be at least these 6 variables and they must have the following names. The order of the variables in the data.frame is not important as long as the variables have the proper names.
#'
#' ID: A numeric identifier unique to the voter.
#' xLocation: The x coordinate of the voter's ideal point.
#' yLocation: The y coordinate of the voter's ideal point.
#' minkoOrder: The Minkowski order of the voters MInkowski metric based utility function. = 1, is City Block. = 2 is Euclidian and 100 = is See ?Minkowski.
#' xSalience: The salience of the x dimension for the voter. The dimension with the lowest salience is normalized to 1 and it is the numerarier, the salience of other dimension is measured in units of the numerarire.
#' ySalience: The salience of the y dimension for the voter. he dimension with the lowest salience is normalized to 1 and it is the numerarier, the salience of other dimension is measured in units of the numerarire.
#' lossOrder: The loss order for the agents utility function. See the parameter lossOrderVector in ?minkowskiUtilitySets().
#'
#' #' @param alternativesDataFrame The alternatives data frame must have a specific format, and it must be an R data.frame object. There must be at least these 3 variables and they must have the following names. The order of the variables in the data.frame is not important as long as the variables have the proper names.
#'
#' ID: A numeric identifier unique to the alternative.
#' xLocation: The x coordinate of the alternative's location.
#' yLocation: The y coordinate of the alternative's location.
#'
#' @return DataFrame with two columns the first is the Alternatives ID and the second is a logical that is TRUE if the alt is in the pareto set and FALSE of the alt is not in the pareto set.
#'
#' @export
isInParetoSetForVoterAndAltsDataFrame <- function(alternativesDataFrame ,votersDataFrame){
# ### FOR TESTING ##
# alternativesDataFrame <- data.frame(pointType = rep(x = "alternative", 3), ID = c("A-1", "A-2", "A-3"), xLocation=c(-3/8, 1/8, 2/8), yLocation=c(-3/8, 1/8, 7/8) )
#
# votersDataFrame <- data.frame(pointType = rep(x = "voter", 3), ID = c("V-1", "V-2", "V-3"), xLocation=c(-1/8, 7/8, 4/8), yLocation=c(3/8, 4/8, -3/8), minkoOrder=c(1, 2, 100), xSalience = c(1, 1, 1), ySalience = c(1, 1, 1), lossOrder = c(1, 2, 1) )
# ### FOR TESTING ##
theParetoSet <- findParetoSetForDataFrame(votersDataFrame)
# Create Output Matrix
isInParetoSetOut <- data.frame(ID=alternativesDataFrame$ID, inParetoSet=rep(NA,nrow(alternativesDataFrame) ) )
# Check each Alt
for (i in 1:nrow(alternativesDataFrame) ){
isInParetoSetOut[i, 2] <- isInParetoSetFromPointAndPS( aSexpPoint = cbind(alternativesDataFrame$xLocation, alternativesDataFrame$yLocation)[i, ],
aSexpMatrix = as.matrix(theParetoSet)
)
} # Ends for loop
isInParetoSetOut
}
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