Cartesian Chase

[Taken from Thinking Mathematically, p. 162. Modified by Sam Rebelsky]

Cartesian chase is a two-player game which is played on a rectangular grid with a a fixed number of rows and columns. Play begins in the bottom left hand square where the first player puts a mark. On each turn, a player may put a mark into a square that is

Can you come up with a strategy for three-player game of cartesian chase?


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