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2. Sprouts (game) - Wikipedia

   en.wikipedia.org/wiki/Sprouts_(game)

   A 2-spot game of Sprouts. The game ends when the first player is unable to draw a connecting line between the only two free points, marked in green. The game is played by two players, [2] starting with a few spots drawn on a sheet of paper. Players take turns, where each turn consists of drawing a line between two spots (or from a spot to ...

3. Chopsticks (hand game) - Wikipedia

   en.wikipedia.org/wiki/Chopsticks_(hand_game)

   The game's scores are tracked on the fingers of both hands. Chopsticks (sometimes called Splits, Calculator, or just Sticks) [citation needed] is a hand game for two or more players, in which players extend a number of fingers from each hand and transfer those scores by taking turns tapping one hand against another.

4. Nim - Wikipedia

   en.wikipedia.org/wiki/Nim

   In Grundy's game, another variation of nim, a number of objects are placed in an initial heap and two players alternately divide a heap into two nonempty heaps of different sizes. Thus, six objects may be divided into piles of 5+1 or 4+2, but not 3+3. Grundy's game can be played as either misère or normal play.

5. Sim (game) - Wikipedia

   en.wikipedia.org/wiki/Sim_(game)

   The game of Sim is one example of a Ramsey game. Other Ramsey games are possible. For instance, the players can be allowed to color more than one line during their turns. Another Ramsey game similar to Sim and related to the Ramsey number R(4, 4) = 18 is played on 18 vertices and the 153 edges between them. The two players must avoid to color ...

6. Penney's game - Wikipedia

   en.wikipedia.org/wiki/Penney's_game

   Penney's game, named after its inventor Walter Penney, is a binary (head/tail) sequence generating game between two players. Player A selects a sequence of heads and tails (of length 3 or larger), and shows this sequence to player B. Player B then selects another sequence of heads and tails of the same length.

7. Hackenbush - Wikipedia

   en.wikipedia.org/wiki/Hackenbush

   Consider the sum of the two games. The claim that G 1 and G 2 have the same Sprague-Grundy value is equivalent to the claim that the sum of the two games has Sprague-Grundy value 0. In other words, we are to show that the sum G 1 + G 2 is a P-position. A player is guaranteed to win if they are the second player to move in G 1 + G 2.

8. Hex (board game) - Wikipedia

   en.wikipedia.org/wiki/Hex_(board_game)

   Hex (also called Nash) is a two player abstract strategy board game in which players attempt to connect opposite sides of a rhombus-shaped board made of hexagonal cells.Hex was invented by mathematician and poet Piet Hein in 1942 and later rediscovered and popularized by John Nash.

9. Grundy's game - Wikipedia

   en.wikipedia.org/wiki/Grundy's_game

   Grundy's game is a two-player mathematical game of strategy. The starting configuration is a single heap of objects, and the two players take turn splitting a single heap into two heaps of different sizes. The game ends when only heaps of size two and smaller remain, none of which can be split unequally.