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Continuous Social Decision Procedures

Ferejohn, John A. and Packel, Edward W. (1983) Continuous Social Decision Procedures. Mathematical Social Sciences, 6 (1). pp. 65-73. ISSN 0165-4896. doi:10.1016/0165-4896(83)90046-X.

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Classical social decision procedures are supposed to map lists of preference orderings into binary relations which describe society ‘preferences’. But when there are infinitely many alternatives the resulting plethora of possible preference orderings make it impossible to differentiate ‘nearby’ preference relations. If the preference information used to make social decisions is imperfect, society may wish to implement a continuous social decision procedure (SDP) so that nearby preference configurations will map into nearby social preference relations. It is shown here that a continuity requirement can severely restrict the admissible behavior of a social decision procedure. Furthermore, a characterization of continuous SDPs is presented which facilitates the examination of such procedures and their relation to various voting mechanisms.

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Additional Information:© 1983 Published by Elsevier Science Publishers B.V. (North-Holland). Received 5 March 1983, Revised 1 April 1983. Communicated by F.W. Roush. This research was supported by grants SES-8106212 and SES-8106215 from the National Science Foundation. Formerly SSWP 341.
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Subject Keywords:Social choice; social decision procedure; preference topology; majority rule; simple game
Issue or Number:1
Record Number:CaltechAUTHORS:20171117-154139453
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83316
Deposited By: Jacquelyn Bussone
Deposited On:18 Nov 2017 00:21
Last Modified:15 Nov 2021 19:57

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