The Structure of Neutral Monotonic Social Functions
AbstractIn , Guha gave a complete characterization of path independent social decision functions which satisfy the independence of irrelevant alternatives condition, the strong Pareto principle, and UII, i.e., unanimous indifference implies social indifference. These conditions necessarily imply that a path independent social decision function is neutral and monotonic. In this paper, we extend Guha's characterization to the class of neutral monotonic social functions. We show that neutral monotonic social functions and their specializations to social decision functions, path independent social decision functions, and social welfare functions can be uniquely represented as a collection of overlapping simple games, each of which is defined on a nonempty set of concerned individuals. Moreover, each simple game satisfies intersection conditions depending on the number of social alternatives; the number of individuals belonging to the concerned set under consideration; and the collective rationality assumption. We also provide a characterization of neutral, monotonic and anonymous social decision functions, where the number of individuals in society exceeds the (finite) number of social alternatives, that generalizes both the representation theorem of May  and the representation theorems of Ferejohn and Grether .
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 485.
Length: 22 pages
Date of creation: 1978
Date of revision:
Publication status: Published in Social Choice and Welfare (1989), 6(1): 51-61
Contact details of provider:
Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
More information through EDIRC
Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kirman, Alan P. & Sondermann, Dieter, 1972.
"Arrow's theorem, many agents, and invisible dictators,"
Journal of Economic Theory,
Elsevier, vol. 5(2), pages 267-277, October.
- KIRMAN, Alan P. & SONDERMANN, Dieter, . "Arrow's theorem, many agents, and indivisible dictators," CORE Discussion Papers RP -118, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Craven, J, 1971. "Majority Voting and Social Choice," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 265-67, April.
- Blau, Julian H & Deb, Rajat, 1977. "Social Decision Functions and the Veto," Econometrica, Econometric Society, vol. 45(4), pages 871-79, May.
- Ferejohn, John A. & Grether, David M., 1974.
"On a class of rational social decision procedures,"
Journal of Economic Theory,
Elsevier, vol. 8(4), pages 471-482, August.
- Mas-Colell, Andreu & Sonnenschein, Hugo, 1972. "General Possibility Theorems for Group Decisions," Review of Economic Studies, Wiley Blackwell, vol. 39(2), pages 185-92, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Glena Ames).
If references are entirely missing, you can add them using this form.