Topological games

Binary game

In mathematics, the binary game is a topological game introduced by Stanislaw Ulam in 1935 in an addendum to problem 43 of the Scottish book as a variation of the Banach–Mazur game. In the binary game, one is given a fixed subset X of the set {0,1}N of all sequences of 0s and 1s. The players take it in turn to choose a digit 0 or 1, and the first player wins if the sequence they form lies in the set X. Another way to represent this game is to pick a subset of the interval on the real line, then the players alternatively choose binary digits . Player I wins the game if and only if the binary number , that is, . See, page 237. The binary game is sometimes called Ulam's game, but "Ulam's game" usually refers to the Rényi–Ulam game. (Wikipedia).

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1.7.1 Relations: Video

MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015

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From playlist Binary

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From playlist Binary

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Binary 4 – Floating Point Binary Fractions 1

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From playlist Binary

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From playlist GCSE Computer Science

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Abstract Algebra

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From playlist Binary Numbers

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From playlist Abstract Algebra

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AlterConf Berlin 2017: Are You a Boy or a Girl? Non-binary Representation in Games by Sai Timmermann

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Intro to Impartial Combinatorial Games and Their Theory

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From playlist Recent videos

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Related pages

Topological game | Stanislaw Ulam | Banach–Mazur game