Each turn (including the first), the players submit a silent bid for how many chips they are willing to spend for the right to make a move.
The bids are revealed and the player who made the highest bid pays that amount of chips to the other player and then makes his play.
Repeat every turn until the conclusion of the game.
This is brilliant (and, I imagine, not a game for the AP prone). A high bid can buy you the coveted centre space but now your opponent has a bidding advantage over you, at any given point how much is a given space, or even the opportunity to play a turn actually worth?
Modern board game design is ace.
Edit: Another reply mentions another version I’ve seen before and liked. Each square on the grid contains its own gave of noughts and crosses, winning that game wins you the square on the parent board. The twist is the mini-board on which you must play is determined by the square last played by your opponent. e.g. They place a O in the top left square of whichever micro-grid they’re playing on so you must play on the micro-grid in the top left square of the parent board.
I only read the first book (I think the second is on my shelf), this is a lot more Last Action Hero than I was expecting, though this isn’t necessarily a bad thing. In fact, Matt Colville sums up my feelings pretty well:
I haven't read The Dark Tower but that trailer makes it look like a weird mashup of Time Bandits and the Last Action Hero.