I saw a two-player game described the other day and I was just wondering if it had an official name. The game is played as follows: You start with an $m \times n$ grid, and on each node of the grid there is a rock. On your turn, you point to a rock. The rock and all other rocks "northeast" of it are removed. In other words, if you point to the rock at position $(i,j)$ then any rock at position $(r,s)$ where $r$ and $s$ satisfy $1 \leq r \leq i$ and $j \leq s \leq n$ is removed. The loser is the person who takes the last rock(s).
the name of a game
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game-theory
combinatorial-game-theory
1 Answers
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This game is called Chomp.