A Metric for Positional Games

@article{Ettinger2000AMF,
  title={A Metric for Positional Games},
  author={Mark Ettinger},
  journal={Theor. Comput. Sci.},
  year={2000},
  volume={230},
  pages={207-219}
}
We deene an extended real-valued metric, , for positional games and prove that this class of games is a topological semigroup. We then show that two games are nitely separated ii they are path-connected and ii two closely related Conway games are equivalent. If two games are at a nite distance then this distance is bounded by the maximum diierence of any two atoms found in the games. We may improve on this estimate when two games have the same form, as given by a form match. Finally, we show… CONTINUE READING

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