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We investigate the implications of relaxing Arrow's independence of irrelevant alternatives axiom while retaining transitivity and the Pareto condition. Even a small relaxation opens a floodgate of possibilities for nondictatorial and efficient social choice
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literature on aggregation of fuzzy preferences. We restrict ourselves to “pure aggregation” theory and, accordingly, do not cover … strategic aspects of social choice. We present Arrovian aggregation problems in a rather standard framework as well as in a very …
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Introduction -- Elementary Logic -- Sets, Relations, Functions -- Binary Relations -- Social Choice Theoretic Framework and Arrow Impossibility Theorem -- Some Important Value-Judgments, Rules and Theorems -- Implications of Weakening of Some of Arrow Conditions -- The Method of Majority...
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