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The problem of preferences aggregation

winner may depend on the presence of a distant loser

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Unformatted text preview: does not satisfy Independence of Irrelevant Alternatives  ­ Usually easy to manipulate (by ranking alternatives strategically...)  ­ Winner may depend on the presence of a distant loser. (Also might not choose Condorcet winner when it exists.)  ­ Strategic manipulation of the voting agenda: agenda setting  ­It is possible to collectively select Pareto ­dominated options.  ­ Any voting rule violates at least one of Arrow's axioms Example: Borda count Paths out of the impossibility. We will follow basically two routes:  ­ Remove unrestricted domain (restriction on preferences)  ­ Analyse institutional arrangements Back to Condorcet paradox: overcome if we assume that 1) the policy space is uni ­ dimensional 2) preferences are single ­peaked Social Welfare Functions (normative) W = W (u1; u2…un) Pareto improvement A change form the status quo such that nobody is harmed and at least one...
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