CDT, then, isn't aware of the payoff matrix. It reasons as follows: Either Omega put money in boxes A and B, or only in box B. If Omega put money in both boxes, I'm better off taking both boxes. If Omega put money only in box B, I should also take both boxes instead of only box A. CDT doesn't deal with the fact that which of these two games it's playing depends on what it will choose to do in each case.