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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 310/731 4. Decision Making (2) 2. Tactical Voting To formulate our version of the Gibbard-Satterthwaite Theorem, we need to introduce the notion of a weak dictator. Definition 4.20 (Weak dictator) An agent i is called a weak dictator for the social correspondence W ∗ , if for all profiles 〈≺ 1 , . . . , ≺ |A| 〉 the following holds: W ∗ (〈≺ 1 , . . . , ≺ |A| 〉) ∩ top(≺ i ) ≠ ∅
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 311/731 4. Decision Making (2) 2. Tactical Voting Exercise A strong dictator is one where for all profiles 〈≺ 1 , . . . , ≺ |A| 〉 the following holds: W ∗ (〈≺ 1 , . . . , ≺ |A| 〉) = top(≺ i ). Can you think of a definition in between strong and weak dictator?
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2. Basic Architectures 3. AOP Prof.
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9. Agents based on FOL 1. First Ord
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Situation independent functions dec
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9. Agents based on FOL 7. Reference
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