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Game-Theoretic Techniques in Computing

MPRI, Winter 2009/10

Final exam: Tuesday, February 9 at 13h00 in Rentiers

Main course page: MPRI 20-2-1
Instructors: Dietmar Berwanger and Wieslaw Zielonka
See also cours material by Wieslaw Zielonka.

Graph games with perfect information

[Notes]

  1. Reachability and safety games: attractors
  2. Undetermined Gale-Stewart games
  3. Parity games: Memoryless determinacy, solution procedure
  4. Games with ω-regular conditions
  5. Mean-payoff games:
    U. Zwick, M. Paterson, The complexity of mean-payoff games. In Theoretical Computer Science 158(1996) [download draft from Uri Zwick's homepage]

Games with imperfect information

[Notes]

  1. One player against the environment, Reiff's knowledge-set construction
  2. Distributed games: infinite memory, undecidability

Pursuit-Evasion games

Literature:

  1. Graph searching, taxonomy
  2. Invisible robber, pathwidth, monotonicity
  3. Visible agile robber: treewidth, brambles; invisible inert robber

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