Cash game, center cube. White on roll.

(a) Should White double?
(b) If doubled, should Black take, drop, or beaver?
Early game doubles cover a wide variety of positions, but in general they can be spotted by analyzing three key aspects of the game: race, position, and threats. Many years ago, Joe Sylvester (a very great player in the 80s and 90s, now somewhat inactive) coined a simple rule: if you’re ahead in two out of three of these aspects, you have a double. Your opponent may or may not have a take. Let’s evaluate these three features of Problem 12 and see what they tell us.





White to play 3-1.














