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If I understand the game correctly, there should be a winning strategy for the player going last. If we first disregard the corners, then the bear will fall when the second last block is removed: --X--- --X--- --BB-- --BB-- ------ ------ (or similar) Since the number of blocks is even, this block will be removed by the player going first. Now, there are ...


3

A few notes: There's very little point in bothering to remove blocks under the conditions specified for the simplified version; the only cells that can ever be removed by becoming isolated are the four cells diagonally (but not horizontally) adjacent to the central block. All the cells on outer 6x6 ring are, of course, always connected, and all of the ...


3

In theory, an optimal strategy, in the sense of a Nash equilibrium, certainly must exist. However, based on the description of the game on Wikipedia, I see some difficulties in finding such a strategy in practice. First, it appears the the game is non-deterministic, so the optimal strategy can only be optimal in a statistical sense — it cannot ...



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