library(hyper2)
hotstart <- indep(maxp(collusion))
f <- function(LO,give=FALSE){
small <- 1e-5
eq <- hotstart
m <- sum(eq[2:3])
a <- exp(LO)
eq[2:3] <- m/(1+a)*c(1,a) # exact
eq[2:3] <- eq[2:3] + c(-small,small)
out <-
maxp(collusion,
startp=eq,
fcm=c(0, -1, exp(LO),rep(0,22)),
fcv=0,
give=TRUE)
if(give){return(out)}else{return(out$value)}
}
x <- seq(from= 1.5,to = 2.7,len=32)
jj <- sapply(x,f)
plot(x,jj-max(jj),type='b',xlab="log-odds",ylab="support")
abline(h=c(0,-2))
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