spoonitnow's 5000th Post: Game Theory and Poker

Originally Posted by spoonitnow

And that's as good as you're going to make them look in text.

The bottom terms can be slightly simplified, although it doesn't really look that much prettier in the text.

2 + a(1-a) = 2 + a - a^2 = -1(a^2 - a - 2) = -1(a-2)(a+1) = (2-a)(a+1)

y_1 = (1-a)/(2+a(1-a)) = (1-a)/( (2-a)(a+1) )
x_1 = 2(1-a)/(2+a(1-a)) = 2(1-a)/( (2-a)(a+1) )
y_0 = 2/(2+a(1-a)) = 2/( (2-a)(a+1) )