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Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC <strong>Multiagent</strong> <strong>Systems</strong>, WS 06/07 547/731<br />

8. Action/Time as Modalities 3. ATL<br />

ATL Models: Concurrent Game Structures<br />

Definition 8.10 (Concurrent Game Structure)<br />

A concurrent game structure is a tuple<br />

M = 〈Agt, Q, π, Act, d, o〉, where:<br />

Agt: a finite set of all agents<br />

Q: a set of states<br />

π: a valuation of propositions<br />

Act: a finite set of (atomic) actions<br />

d : Agt × Q → P(Act) defines actions available to an<br />

agent in a state<br />

o: a deterministic transition function that assigns<br />

outcome states q ′ = o(q, α 1 , . . . , α k ) to states and tuples<br />

of actions

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