Graciela Chichilnisky (Department of Economics, Columbia University, 405 Law Memorial Library, New York, NY 10027, USA) Geoffrey Heal (Program on Information and Resources, Columbia University, 405 Law Memorial Library, New York, NY 10027, USA)
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We provide a simple construction of social choice rules for economies with infinite populations. The rules are continuous, Pareto and non-dictatorial; they are constructed as limits of individual preferences when the limit exists, and otherwise as adequate generalizations. This contrasts with the impossibility results of Arrow (1951) and Chichilnisky (1980), which are valid on economies with finitely many individuals. Our social choice rules are, however, limits of dictatorial rules. This paper was written in 1979.
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