H <- function(x) {
return(-sum(x * log(x, base = 3)))
}
find_trust <- function(x) {
return(0.3 * (1 - H(x)))
}
find_new_rep <- function(o, nr, omega = 0.981) {
return(omega*o + omega*0.1**(omega*abs(o))*nr)
}
rep_fnr <- function(o, nr, reps, omega = 0.981) {
for (i in 1:reps) {
o <- find_new_rep(o, nr, omega)
}
return(o)
}
plot_reachable_trust <- function(om = 0.95, t = 0:79) {
y <- sapply(
t,
function(i) {
rep_fnr(
0.01,
find_trust(
c(
(i + 1) / (i + 3),
1 / (i + 3),
1 / (i + 3)
)
),
200,
om = om
)
}
)
y[1] <- 0.01
Cairo::CairoPNG(
filename=sprintf("omega=%f.png", om),
height = 1080 / 2,
width = 1920 / 2
)
plot(
c(0, t + 1),
c(0, y * (2 - 0.5**0.3)),
type = "o",
xlab = "Number of Good Contacts",
ylab = "Reachable Trust",
col = "blue"
)
axis(1, at=seq(0, 80, by=5))
dev.off()
}
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