I think if others play with probability P, every value of Q is equally good.
you get 2*0.8873*(1-0.8873) of −1 and 0.8873^2 of 3, which is 2.262.
Not sure if this is a typo, but I get 2*0.8873*(1-0.8873)(-1)+0.8873^{2}(3) = 2.162
Which is the same as if you play Q=P. Which supports the claim that every value of Q is equally good.
I can’t check today, but whoops, sorry if I typoed the equation at some step.
I think if others play with probability P, every value of Q is equally good.
Not sure if this is a typo, but I get 2*0.8873*(1-0.8873)(-1)+0.8873^{2}(3) = 2.162
Which is the same as if you play Q=P. Which supports the claim that every value of Q is equally good.
I can’t check today, but whoops, sorry if I typoed the equation at some step.