On continuity of Arrovian social welfare functions |
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| Authors: | Hannu Salonen Kari Saukkonen |
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| Institution: | (1) Department of Economics, University of Turku, 20014 Turku, Finland;(2) Department of Economics, Turku School of Economics, 20500 Turku, Finland |
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| Abstract: | We study continuity properties of Arrovian social welfare functions in the infinite population framework. We show that continuous
welfare functions satisfying unanimity and independence of irrelevant alternatives are dictatorial. Weak anonymity is shown
to be incompatible with continuity and unanimity: every continuous weakly anonymous social welfare function must be a constant
function. |
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