Abstract
In this paper, we study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In this framework each player aims at reaching his own goal as soon as possible. We prove existence of finite-memory Nash (resp. secure) equilibria in multiplayer (resp. two-player) games.
This work has been partly supported by the ESF project GASICS and a grant from the National Bank of Belgium.
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Brihaye, T., Bruyère, V., De Pril, J. (2010). Equilibria in Quantitative Reachability Games. In: Ablayev, F., Mayr, E.W. (eds) Computer Science – Theory and Applications. CSR 2010. Lecture Notes in Computer Science, vol 6072. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13182-0_7
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DOI: https://doi.org/10.1007/978-3-642-13182-0_7
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