Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 274/731 4. Decision Making (2) 1. Voting Theorem 4.7 (Muller-Satterthwaite (1977)) If there are at least 3 candidates, then any social choice function satisfying unanimity and monotonicity must be dictatorial. What about majority voting?
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 275/731 4. Decision Making (2) 1. Voting A variant of the above theorem is for correspondences. In that case, we require correspondences to satisfy the following two conditions (sometimes called prime directive): 1 W ∗ (v, 〈≺ 1 , . . . , ≺ |A| 〉) ≠ ∅ and 2 W ∗ (v, 〈≺ 1 , . . . , ≺ |A| 〉) ⊆ v. Such a function simply selects a subset of v: the elected members of the list v.
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9. Agents based on FOL 7. Reference
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Multiagent Systems

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