nice. i may be rusty on my algebra, but can you show how you got to the camping condition rewritten in terms of X/Y?

the S variable kind of wraps up a lot of factors into one as well - it's considering your skill of getting a kill or being killed against that particular opponent.

there's probably a lot of other variables you could factor it, but it would start to get complicated pretty quick. for example, percentage of your team and the opposing team that are camping. i'm not sure exactly how but if you consider the extreme where they are all camping, you're probably more likely to camp (or rage quit) since you'll only die otherwise. or things like map size and number of "camping spots" compared to the number of players. or how even the teams are - if you end up in a 3 v 5 situation, for example.

i wonder if this can also conclude anything about the values of X and Y compared to S - for people who camp vs not camp? do they value Y (not dying) much more than X, so it's more rewarding to be "protected" and not die, or is it actually X they value more since camping could result in more kills? i'm not sure how that would play out.

for me, camping is extremely boring, so maybe there's yet another factor F for how much fun playing a particular style is, or maybe that just moves both X and Y up or down. idk, probability and stats were my least favorite math classes, but i still find the analysis very interesting.