The conditional market for the other move is here: 

If the value (averaged over the last 4 hours before close) of this market is higher than in the other market, then this market resolves PROB to the score after move 4.  Otherwise, it resolves N/A. The score after move 4 is the value (averaged over the last 4 hours) of the conditional market of the winning move in move 4.

Note that when the game ends, the score will be 1.0 - #moves x 0.0004 if white wins, 0.5 - #moves x 0.0002 if its a draw, or 0.0 if we lose.

https://manifold.markets/harfe/will-white-win-in-manifold-plays-ch