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of. Dr. Jürgen Dix · Department of Informatics, TUC <strong>Multiagent</strong> <strong>Systems</strong>, WS 06/07 209/731<br />

3. Decision Making (1) 2. Non-coop Games<br />

Definition 3.17 (Best Response to a Strategy Profile)<br />

Given a strategy profile<br />

〈s 1 , s 2 , . . . , s i−1 , s i+1 , . . . , s n 〉,<br />

the best response of player i to it is any mixed<br />

strategy s ∗ i ∈ S i such that<br />

µ i (s ∗ i , 〈s 1 , s 2 , . . . , s i−1 , s i+1 , . . . , s n 〉) ≧<br />

µ i (s i , 〈s 1 , s 2 , . . . , s i−1 , s i+1 , . . . , s n 〉)<br />

for all strategies s i ∈ S i .<br />

Is the best response unique?

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