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We summarize classical and recent results about two-player games played on graphs with omega-regular objectives. These games have applications in the verification and synthesis of reactive systems. Important distinctions are whether a graph game is turn-based or concurrent; deterministic or stochastic; zero-sum or not. We cluster known results and open problems according to these classifications. (C) 2011 Elsevier Inc. All rights reserved.
Friedrich Eisenbrand, Rom Pinchasi
Pierre Vandergheynst, Daniele Grattarola
Ali H. Sayed, Stefan Vlaski, Roula Nassif