Strategy-Based Ranking

The strategy-based ranking associates to any AF $F$ a ranking $\succeq^{\theta^{\mathsf{SB}}}_F$ on $A$ such that $\forall a,b \in A$ : $a \succeq^{\theta^{\mathsf{SB}}}_F b$ iff $\mathsf{s}_F(a) \geq \mathsf{s}_F(b)$ , where $\mathsf{s}_F(a)$ is the value of the strategic game for $a$ .

Reference

Matt, P.-A. & Toni, F. (2008). A Game-Theoretic Measure of Argument Strength for Abstract Argumentation. In: Logics in Artificial Intelligence (JELIA 2008), LNCS 5293, pp. 285–297. Springer.