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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 06/07 348/731<br />

5. Nets and coalitions 2. Four Types of Nets<br />

Lemma 5.8 (IR-Path may not reach Global Optimum)<br />

There are instances where no path of IR O<br />

contracts exists from the initial allocation to the<br />

optimal one. The length of the shortest IR path (if<br />

it exists) may be greater than |T |.<br />

But the shortest IR path is never greater than<br />

|A| |T | − (|A| − 1)|T |.<br />

Problem: local maxima.<br />

A contract may be individually rational but the<br />

task allocation is not globally optimal.

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