My question is whether or not cycles can occur in the game of Scattercut. That is, you kill some of mine, I kill some of yours, you kill some of mine... Endless cycle of turns. Game never finishes.
If you can't find a cycle, a proof that cycles can't occur would be most helpful. Otherwise, please just describe your experience with this. It's helpful to know if people made a serious effort but couldn't find a cycle.
Solution by Christopher Field:
"If red plays on the left side and blue plays on the right side and they never play in each other's spots, then it's a coop cycle."
Now adding rule... "If you have a choice of placements, you must choose one that results in the maximum number of your stones on the board."
Same question. Are cycles possible, and if not, can it be proved?