Multiagent Systems

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of. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 326/731 4. Decision Making (2) 4. Market Mechanisms A theory for efficiently allocating goods and resources among agents, based on market prices. Goods: Given n > 0 goods g (coffee, mirror sites, parameters of an airplane design). We assume g ≠ g ′ but within g everything is indistinguishable. Prices: The market has prices p = [p 1 , p 2 , ..., p n ] ∈ R n : p i is the price of the good i.
of. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 327/731 4. Decision Making (2) 4. Market Mechanisms Consumers: Consumer i has µ i (x) encoding its preferences over consumption bundles x i = [x i1 , ..., x in ] t , where x ig ∈ R + is consumer i’s allocation of good g. Each consumer also has an initial endowment e i = [e i1 , ..., e in ] t ∈ R. Producers: Use some commodities to produce others: y j = [y j1 , ..., y jn ] t , where y jg ∈ R is the amount of good g that producer j produces. Y j is a set of such vectors y. Profit of producer j: p × y j , where y j ∈ Y j . Profits: The profits are divided among the consumers (given predetermined proportions ∆ ij ): ∆ ij is the fraction of producer j that consumer i owns (stocks). Profits are divided according to ∆ ij . µ i
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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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6. Propositional Logic 3. Sudoku Se
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9. Agents based on FOL 1. First Ord
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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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