Chichilnisky, Graciela (1980): Social choice and the topology of spaces of preferences. Published in: Advances in Mathematics , Vol. 37, No. no. 2 (August 1980): pp. 165-176.
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Abstract
Social choice theory is concerned with providing a rationale for social decisions when individuals have diverse opinions. Voting is an obvious way in which societies aggregate individual preferences to obtain social ones. The procedure of voting registers individual comparisons between alternatives, called ordinal preferences, rather than intensities of preferences among these alternatives, called cardinal preferences, and this is one source of so-called paradox of social choice.
It is the purpose of this paper to study the paradox of social choice and to show that it arises, in part, because of the topological structure of spaces of ordinal preferences.
Item Type: | MPRA Paper |
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Original Title: | Social choice and the topology of spaces of preferences |
Language: | English |
Keywords: | preferences; social choice; individual preference; social preference; topological structure; topology; ordinal preferences; cardinal preferences |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making |
Item ID: | 8006 |
Depositing User: | Graciela Chichilnisky |
Date Deposited: | 31 Mar 2008 05:40 |
Last Modified: | 05 Oct 2019 07:18 |
References: | K. ARROW, "Social choice and individual values," 2nd ed. The Cowles Foundation for Research in Economics, Monograph 12, Yale Univ. Press, New Haven, CT / London, 1963. K. ARROW, "Formal Theories of Social Welfare," Reprints in Economic Theory and Econometrics, No. 59, Harvard Univ., from "Dictionary of the HIstory o Ideas" (P. P. Wiener, Ed.) Scribner, New York, 1973. G. CHICHILNISKY, "Manifolds of preferences and equilibria," Technical Report No. 29, Project on Efficiency of Decision Making in Economic Systems, Harvard Univ, 1976. G. DEBREU, Smooth preferences, Econometrica (1972). M. W. HIRSCH, "Differential Topology," Springer-verlag, New York/Heidelberg/Berlin, 1976. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/8006 |