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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 06/07 331/731<br />

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

Theorem 4.29 (Existence of an Equilibrium)<br />

Let the sets Y j<br />

µ i<br />

Y j be closed, convex and bounded<br />

above. Let µ i be continuous, strictly convex and<br />

strongly monotone. Assume further that at least<br />

one bundle x i is producible with only positive<br />

entries x il .<br />

Under these assumptions a general equilibrium<br />

exists.

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