Game Relations and Metrics

@article{Alfaro2007GameRA,
  title={Game Relations and Metrics},
  author={Luca de Alfaro and Rupak Majumdar and Vishwanath Raman and Mari{\"e}lle Stoelinga},
  journal={22nd Annual IEEE Symposium on Logic in Computer Science (LICS 2007)},
  year={2007},
  pages={99-108}
}
We consider two-player games played over finite state spaces for an infinite number of rounds. At each state, the players simultaneously choose moves; the moves determine a successor state. It is often advantageous for players to choose probability distributions over moves, rather than single moves. Given a goal (e.g., "reach a target state"), the question of winning is thus a probabilistic one: "what is the maximal probability of winning from a given state?". On these game structures, two… CONTINUE READING
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