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Infinite games. Combinatorial game theory for infinite two-player games of perfect information. Infinitary aspects of common recreational games. Open games, clopen games. Determinacy. Transfinite game values. Topological games.

Infinite games, including

  • Combinatorial game theory for infinite two-player games of perfect information, such as infinite chess and infinite variants of other popular games.
  • Infinitary aspects of common recreational games, particularly when the associated game tree is infinite.
  • Open games, clopen games.
  • Determinacy.
  • Transfinite game values.
  • Topological games, such as Banach–Mazur game or Choquet game.
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