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Damath is a two-player educational board game combining the board game "Dama" (Filipino checkers) and math. It is used as a teaching tool for both elementary and high school mathematics. Every piece has a corresponding number and each even (white) square on board has a mathematical symbol.
This game is commonly played in practice with only one heap. Bouton's analysis carries over easily to the general multiple-heap version of this game. The only difference is that as a first step, before computing the nim-sums we must reduce the sizes of the heaps modulo k + 1.
On expressing integers as the sum of cubes and other unsolved number-theory problems 1974 Jan: The combinatorial basis of the "I Ching," the Chinese book of divination and wisdom : 1974 Feb: Cram, crosscram and quadraphage: new games having elusive winning strategies 1974 Mar: Reflections on Newcomb's problem: a prediction and free-will dilemma
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In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players.
For example, the set of integers modulo 12 has twelve elements; it inherits an addition operation from the integers that is central to musical set theory. The set of integers modulo 2 has just two elements; the addition operation it inherits is known in Boolean logic as the " exclusive or " function.