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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 06/07 253/731<br />

3. Decision Making (1) 4. Repeated Games<br />

Theorem 3.36 (Unique solution for infinite games)<br />

In a discounted infinite round setting, there exists a<br />

unique subgame perfect Nash equilibrium:<br />

Agent 1 gets 1−δ 2<br />

1−δ 1 δ 2<br />

. Agent 2 gets the rest.<br />

Agreement is reached in the first round.<br />

Proof.

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