Social aggregators

Kfir Eliaz

Social Choice and Welfare, 2004, vol. 22, issue 2, 317-330

Abstract: This paper proposes a general framework for analyzing a class of functions called social aggregators, which map profiles of linear orders to a set of binary relations. This class of aggregators includes aggregators that yield a preference relation (social welfare functions) and those which yield a choice of an alternative (social choice functions). Equipped with this framework, I identify a property called Preference Reversal (PR) such that any Pareto efficient aggregator having this property must be dictatorial. This allows me to state a general impossibility theorem, which includes Arrow’s Theorem and the Gibbard Satterthwaite Theorem as two special examples. Furthermore, I show that monotonicity and IIA are closely linked, by demonstrating that both are actually special cases of PR in specific environments. Copyright Springer-Verlag 2004

Date: 2004
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DOI: 10.1007/s00355-003-0291-1

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