An Abstraction-Refinement Methodologyfor Reasoning about Network Games†
AbstractNetwork games (NGs) are played on directed graphs and are extensively used in network design and analysis. Search problems for NGs include finding special strategy profiles such as a Nash equilibrium and a globally-optimal solution. The networks modeled by NGs may be huge. In formal verification, abstraction has proven to be an extremely effective technique for reasoning about systems with big and even infinite state spaces. We describe an abstraction-refinement methodology for reasoning about NGs. Our methodology is based on an abstraction function that maps the state space of an NG to a much smaller state space. We search for a global optimum and a Nash equilibrium by reasoning on an under- and an over-approximation defined on top of this smaller state space. When the approximations are too coarse to find such profiles, we refine the abstraction function. We extend the abstraction-refinement methodology to labeled networks, where the objectives of the players are regular languages. Our experimental results demonstrate the effectiveness of the methodology. View Full-Text
Share & Cite This Article
Avni, G.; Guha, S.; Kupferman, O. An Abstraction-Refinement Methodologyfor Reasoning about Network Games†. Games 2018, 9, 39.
Avni G, Guha S, Kupferman O. An Abstraction-Refinement Methodologyfor Reasoning about Network Games†. Games. 2018; 9(3):39.Chicago/Turabian Style
Avni, Guy; Guha, Shibashis; Kupferman, Orna. 2018. "An Abstraction-Refinement Methodologyfor Reasoning about Network Games†." Games 9, no. 3: 39.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.