Taking most fundamental characteristics, this theory could potentially be applied in trading of:
-currencies (to a certain extent you can simplify 2 players, Left - Right movements, but information remains imperfect due to many underlying factors that can't be included in this theory)
-commodities, it may be applicable from money management, rather than trading approach (this theory relates to finite "number of points" hence resources, it can work well providing that winning party most likely takes it all). In trading when "winning" in such style by buying early what is available, one "blocks or immobilizes opponent" by becoming majority controlling prices - buy only very big players can do so, then it usually ends up in the press (hello aluminium?).
For smaller markets and when gradually buying in, it would be better to reverse the final certainty of winning when approaching majority, as with increased price there would be less buyers.