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2. Nim - Wikipedia

   en.wikipedia.org/wiki/Nim

   Nim is a mathematical game of strategy in which two players take turns removing (or "nimming") objects from distinct heaps or piles. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap or pile.

3. 24 (puzzle) - Wikipedia

   en.wikipedia.org/wiki/24_(puzzle)

   The original version of 24 is played with an ordinary deck of playing cards with all the face cards removed. The aces are taken to have the value 1 and the basic game proceeds by having 4 cards dealt and the first player that can achieve the number 24 exactly using only allowed operations (addition, subtraction, multiplication, division, and parentheses) wins the hand.

4. Nimber - Wikipedia

   en.wikipedia.org/wiki/Nimber

   The goal of the game is to be the player who removes the last object. The nimber of a heap is simply the number of objects in that heap. Using nim addition, one can calculate the nimber of the game as a whole. The winning strategy is to force the nimber of the game to 0 for the opponent's turn. [2]

5. Guess 2/3 of the average - Wikipedia

   en.wikipedia.org/wiki/Guess_2/3_of_the_average

   Alain Ledoux is the founding father of the "guess ⁠ 2 / 3 ⁠ of the average" game. In 1981, Ledoux used this game as a tie breaker in his French magazine Jeux et Stratégie. He asked about 4,000 readers, who reached the same number of points in previous puzzles, to state an integer between 1 and 1,000,000,000.

6. Surreal number - Wikipedia

   en.wikipedia.org/wiki/Surreal_number

   If a big game decomposes into two smaller games, and the small games have associated Games of x and y, then the big game will have an associated Game of x + y. A game composed of smaller games is called the disjunctive sum of those smaller games, and the theorem states that the method of addition we defined is equivalent to taking the ...

7. Chopsticks (hand game) - Wikipedia

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

   In a two-player game, the position becomes 1101, which becomes an easy forced win, so it is best played with more than 2 people. Self-adding: As their turn, players can add 1 finger to any living hand, or transfer multiple fingers to a dead hand. This enables self-destruction (by adding 1 to a living hand with 4 fingers) and resurrection.