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Independence of irrelevant alternatives and consistency of coice. (English) Zbl 0958.91011
Summary: The author shows that Arrow’s condition of independence of irrelevant alternatives is logically related to conditions of consistency of choice (in particular, to Arrow’s choice axiom). The relation, however, is indirect. The link is provided by an independence condition due to B. Hansson [Synthese 20, 526–537 (1969; Zbl 0191.28301)] which applies to fixed agenda social choice rules.

MSC:
91B14 Social choice
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