AAMAS Conference 2026 Conference Paper
Alternating-Time Temporal Logic with Dependent Strategies
- Jessica L. Newman
- Enrico Gerding
- Enrico Marchioni
- Baharak Rastegari
Alternating-Time Temporal Logic (ATL) can express statements about the strategic abilities of agents in games where agents move concurrently. However, many game-theoretic scenarios (such as Stackelberg competitions) require agents to make moves sequentially, with the actions of a given agent depending on the actions of the agents who move prior to them. To capture this, we introduce ATL with Dependent Strategies (ATLDS), which extends ATL with the ability to specify an order in which agents select actions. We characterise the sets of outcomes that are possible for a coalition to enforce when playing a normal-form game sequentially, and provide a representation theorem that allows us to convert betweengamesandsetsofenforceableoutcomesgeneratedfromthose games. We use this to give a sound and complete axiomatisation of ATLDS. We also show expressive equivalence with the SL−[SG] fragment of Strategy Logic, and provide complexity bounds for variants of the model-checking problem.