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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 276/731 4. Decision Making (2) 1. Voting ≺ ′ IIA: For all v ∈ V : if (∀i ∈ A : ≺ i | v = ≺ ′ i| v ) then W ∗ (v, 〈≺ 1 , . . . , ≺ |A| 〉) = W ∗ (v, 〈≺ ≺ ′ 1, . . . ,≺ ≺ ′ Unanimity: If o ∈ v and (∀i ∈ A : o ′ ≺ i o) then o ′ ∉ W ∗ (v, 〈≺ 1 , . . . , ≺ |A| 〉). Consistency: If {o, o ′ } ⊆ v and W ∗ (v, u) ∩ {o, o ′ } = {o} and {o, o ′ } ⊆ v ′ then o ′ ∉ W ∗ (v ′ , u) ≺ ′ |A|〉)
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 277/731 4. Decision Making (2) 1. Voting Theorem 4.8 (Social choice correspondence) Any social choice correspondence satisfying independence of irrelevant alternatives, unanimity and consistency must be dictatorial.
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9. Agents based on FOL 1. First Ord
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9. Agents based on FOL 7. Reference
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