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LemkeGame
DescriptionLemke Game
Move Rule:
If a vertex has 2 or more pebbles on it, you may move a pebble from
it to any adjacent vertex,
but you must discard another pebble from that vertex.
Goal:
Move a pebble onto a special vertex called the root.
The Game:
- Player 1:
Choose any number of pebbles (call it X) to give to player 2.
- Player 2:
Place the pebbles wherever you want and pick a root. You want it to be impossible to move a pebble to the root.
- Player 1:
If you can move a pebble to the root, you get 16-X points.
Otherwise, Player 2 gets X points.
- Swap players and repeat.
- The player with the most points after the two rounds wins.
Lemke Game 2
Place as few pebbles as possible anywhere on the graph you want
so that it is possible to move a pebble to any vertex. Whoever
can do it with the least number of pebbles wins.
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