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  2. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    Children do not communicate as in non-cooperative games. Every stroke is a simultaneous move by children. It is a sequential game of unlimited length. The game-theoretic solution needs some additional assumptions: All children are rational and all children's rationality is common knowledge. This means that Alice is rational, Alice knows that ...

  3. Centipede game - Wikipedia

    en.wikipedia.org/wiki/Centipede_game

    In game theory, the centipede game, first introduced by Robert Rosenthal in 1981, is an extensive form game in which two players take turns choosing either to take a slightly larger share of an increasing pot, or to pass the pot to the other player. The payoffs are arranged so that if one passes the pot to one's opponent and the opponent takes ...

  4. Superrationality - Wikipedia

    en.wikipedia.org/wiki/Superrationality

    For example, if two people are both good at math and both have been given the same complicated problem to do, both will get the same right answer. In math, knowing that the two answers are going to be the same doesn't change the value of the problem, but in the game theory, knowing that the answer will be the same might change the answer itself.

  5. Big Thinkers (video game series) - Wikipedia

    en.wikipedia.org/wiki/Big_Thinkers_(video_game...

    Big Thinkers! Kindergarten taught skills such as measurements, spelling, and letter identification. [5] In teaching math, language arts, science / social science, creative arts and skills, the game built upon the national curriculum standards for kindergarten students. [6]

  6. Irrationality measure - Wikipedia

    en.wikipedia.org/wiki/Irrationality_measure

    Rational numbers have irrationality exponent 1, while (as a consequence of Dirichlet's approximation theorem) every irrational number has irrationality exponent at least 2. On the other hand, an application of Borel-Cantelli lemma shows that almost all numbers, including all algebraic irrational numbers , have an irrationality exponent exactly ...

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