In descriptive set theory, the Borel determinacy theorem states that any Gale-Stewart game whose payoff set is a Borel set is determined, meaning that one of the two players has a winning strategy for the game. A Gale-Stewart game is a possibly infinite two-player game in which both players have perfect information and no randomness is involved. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Borel determinacy theorem (Wikipedia)
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