Advanced Search
MyIDEAS: Login to save this paper or follow this series

The Structure of Neutral Monotonic Social Functions

Contents:

Author Info

Abstract

In [6], 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 [10] and the representation theorems of Ferejohn and Grether [5].

Download Info

If 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.
File URL: http://cowles.econ.yale.edu/P/cd/d04b/d0485.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 485.

as in new window
Length: 22 pages
Date of creation: 1978
Date of revision:
Publication status: Published in Social Choice and Welfare (1989), 6(1): 51-61
Handle: RePEc:cwl:cwldpp:485

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

Order Information:
Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

Related research

Keywords:

References

References listed on IDEAS
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.:
as in new window
  1. 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.
  2. Craven, J, 1971. "Majority Voting and Social Choice," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 265-67, April.
  3. Blau, Julian H & Deb, Rajat, 1977. "Social Decision Functions and the Veto," Econometrica, Econometric Society, vol. 45(4), pages 871-79, May.
  4. 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.
  5. 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.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:485. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Glena Ames).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.