est.shls {ShapDoE}

Estimating the Shapley value based on Latin square (LS)

Description

Estimating the Shapley value based on Latin square (LS)

Usage

est.shls(d, n, val, ...)

Arguments

d

an integer, the number of players.

n

an integer, the sample size.

val

the predefined value function.

...

other parameters used in val(sets,...).

Value

a vector including estimated Shapley values of all players based on LS.

Examples

temp_adjacent<-matrix(0,nrow=8,ncol=8)
temp_adjacent[1,6:8]<-1;temp_adjacent[2,7]<-1;temp_adjacent[c(4,6,7),8]<-1;
temp_adjacent<-temp_adjacent+t(temp_adjacent)
temp_val<-function(sets,adjacent){
  if(length(sets)==1) val<-0
  else{
    subadjacent<-adjacent[sets,sets]
    nsets<-length(sets)
    A<-diag(1,nsets); B<-matrix(0,nsets,nsets)
    for(l in 1:(nsets-1)){
      A<-A%*%subadjacent
      B<-B+A
    }
    val<-ifelse(sum(B==0)>nsets,0,1)
  }
  return(val)
}
est.shls(8,56,temp_val,temp_adjacent)