Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 330/731 4. Decision Making (2) 4. Market Mechanisms Theorem 4.27 (Pareto Efficiency) Each general equilibrium is pareto efficient. Theorem 4.28 (Coalition Stability) Each general equilibrium with no producers is coalition-stable: no subgroup can increase their utilities by deviating from the equilibrium and building their own market.
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 331/731 4. Decision Making (2) 4. Market Mechanisms Theorem 4.29 (Existence of an Equilibrium) Let the sets Y j µ i Y j be closed, convex and bounded above. Let µ i be continuous, strictly convex and strongly monotone. Assume further that at least one bundle x i is producible with only positive entries x il . Under these assumptions a general equilibrium exists.
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1. Introduction 3. Formal Descripti
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2. Basic Architectures 2. BDI-Archi
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2. Basic Architectures 3. AOP Prof.
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6. Propositional Logic 3. Sudoku Si
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9. Agents based on FOL 1. First Ord
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9. Agents based on FOL 4. (Con-)Gol
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Situation independent functions dec
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9. Agents based on FOL 7. Reference
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Multiagent Systems

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