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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 06/07 328/731<br />

4. Decision Making (2) 4. Market Mechanisms<br />

Definition 4.26 (General Equilibrium)<br />

(p ∗ , x ∗ , y ∗ ) is in general equilibrium, if the<br />

following holds:<br />

I. The markets are in equilibrium:<br />

∑<br />

x ∗ i = ∑ e i + ∑ yj<br />

∗<br />

i<br />

i j<br />

II. Consumer i maximises preferences<br />

according the prices<br />

x ∗ i = arg max {xi ∈R R n + | cond i } µ i (x i )<br />

where cond i stands for<br />

p ∗ × x i ≤ p ∗ × e i + ∑ j ∆ ijp ∗ × y j .

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