A game theoretic approach to the toilet seat problem
41–50 of 65 posts
Re: A game theoretic approach to the toilet seat problem
#42Re: A game theoretic approach to the toilet seat problem
#43Moreover, John is probably going to perform #1 more frequently then #2 - by a factor of 3-4? Thus, we can further stipulate that his default state should be 'seat up' and ask whether Marsha should be made to lift the seat up after she is done.
Re: A game theoretic approach to the toilet seat problem
#44This analysis misses a very important point - Marsha benefits from John lifting the seat since this avoids it getting dirty (assuming they take turns using the toilet and John is not a very accurate shooter). Moreover, John is probably going to perform #1 more frequently then #2 - by a factor of 3-4? Thus, we can further stipulate that his default state should be 'seat up' and ask whether Marsha should be made to lif…
1) The analysis assumes that John ensures the seat is in the up position before #1; if the seat is up he pays cost 0 and if it is down he pays cost C. Furthermore if John performes #1 with the seat down, the question of the final position of the seat is moot compared to the question of "why is John gross?"
2) The article takes the probability p of #1 for John. It notes that if p < 1/2 then Marsha's strategy is actually good, but this is clearly not the case
Re: A game theoretic approach to the toilet seat problem
#45Everyone is so full of simple solutions. My simple solution is to own a house with at least enough toilets for everybody so that you can have your own and don't need to share.
Re: A game theoretic approach to the toilet seat problem
#46Heh. My simpler solution is to just always sit (I'm a guy). It's more comfortable, requires less concentration and removes any possibility of missing. The only time I stand is for proper urinals.
Re: A game theoretic approach to the toilet seat problem
#47Or place a coin near the toilet and flip it after use (and washing your hands). Use the coin to determine a new random seat position thus causing randomized nuisance for everyone.
Re: A game theoretic approach to the toilet seat problem
#48Or place a coin near the toilet and flip it after use (and washing your hands). Use the coin to determine a new random seat position thus causing randomized nuisance for everyone.
The cost of coin flipping is probably more than the cost of seat position transfer.
Re: A game theoretic approach to the toilet seat problem
#49"Criterion (2) seems plausible. It requires, however, that Marsha put the seat in the up position after performing a toilet operation some percentage of the time. No instance of this behaviour has ever been observed in recorded history; ergo this criterion can be ruled out." I thought it was a pity that he skipped this one. He was otherwise really quite thorough!
(Honestly, though, who doesn't check the state of the seat before commencing operations? What sort of fairyland would you have to be living in?)
Re: A game theoretic approach to the toilet seat problem
#50Of course, there's always the simple option of "simply sit down".