Refining and Delegating Strategic Ability in ATL

Abstract

We propose extending Alternating-time Temporal Logic (ATL) by an operator i ⊑ Γ ϕ to express that i can distribute its powers to a set of sub-agents Γ in a way which satisfies ATL condition ϕ on the strategic ability of the coalitions they may form, possibly together with others agents.We prove the decidability of model-checking of formulas whose . ⊑ . -subformulas have the form i 1 ⊑ Γ 1 . . . i m ⊑ Γ m ϕ, with no further occurrences of . ⊑ . in ϕ.