Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 352/731 5. Nets and coalitions 2. Four Types of Nets Lemma 5.12 (Reachable allocations for S contracts) We assume that there are at least 2 agents and 2 tasks. We consider the task allocation graph for S contracts. Given any vertex v the fraction number of vertices reachable from v number of all vertices converges to 0 both for |T | → ∞ as well as for |A| → ∞. Proof. S contracts preserve the number of tasks of each agent. So any vertex has certain allocations t 1 , . . . , t |A| for the agents. How many allocations determined by this sequence are there? There are exactly |T |! many. This is to be divided by |A| |T | .
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 353/731 5. Nets and coalitions 2. Four Types of Nets Theorem 5.13 (Each Avoids Local Optima of the Others) For each of the 4 types there exist task allocations where no IR contract with the remaining 3 types is possible, but an IR contract with the fourth type is.
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2. Basic Architectures 2. BDI-Archi
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2. Basic Architectures 3. AOP Prof.
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9. Agents based on FOL 1. First Ord
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Situation independent functions dec
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9. Agents based on FOL 7. Reference
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