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

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Is there a well-posed definition of game on a graph? Or a well defined category of games on ...

All I ever found about this were natural language rules à la Asimov's three laws of robotics. The questions are straightforward questions: 1) Is there a well-posed mathematical definition of game on …
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