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On (Subgame Perfect) Secure Equilibrium in Quantitative Reachability Games

Thomas Brihaye ; Véronique Bruyère ; Julie De Pril ; Hugo Gimbert.

We study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In such games, each player aims at reaching his own goal set of states as soon as possible. A previous work on this model showed that Nash equilibria (resp. secure equilibria) are&nbsp;[&hellip;]

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The Complexity of Subgame Perfect Equilibria in Quantitative Reachability Games

Thomas Brihaye ; Véronique Bruyère ; Aline Goeminne ; Jean-François Raskin ; Marie van den Bogaard.

We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame perfect equilibrium&nbsp;[&hellip;]

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