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Set Theory

The Undetermined Game

September 9, 2022August 7, 2022 by VV
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How do you construct a game where neither player has a winning strategy?

Categories Advanced, Game Theory, Set Theory Tags axiom of choice, gale shapely games, game theory, set theory, trees, well ordering theorem 1 Comment

Does Every Game have a Winner?

May 5, 2025July 28, 2022 by VV

Why can a computer always win in tic-tac-toe? Is it true for games in general?

Categories Game Theory, Introductory, Set Theory Tags borel sets, chess, game theory, tic tac toe, topology, trees 2 Comments
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