I think I should calculate the loss of utility multiplying or the missed defences, then, since the utility is different only when the defence is unsuccessful.
This way I get −10 x 1⁄11 and −1 x 10⁄11, so the utility stays the same and I’m defending Metropolis 10 times out of eleven as I’m supposed to.
I see, expressed like this it’s obvious…
I think I should calculate the loss of utility multiplying or the missed defences, then, since the utility is different only when the defence is unsuccessful.
This way I get −10 x 1⁄11 and −1 x 10⁄11, so the utility stays the same and I’m defending Metropolis 10 times out of eleven as I’m supposed to.