On Ordered Weighted Averaging Social Optima
In this paper, we look at the classical problem of aggregating individual utilities and study social orderings which are based on the concept of Ordered Weighted Averaging (OWA) Aggregating Operator. In these social orderings, called OWA social welfare functions (swf), weights are assigned a priori to the positions in the social ranking and, for every possible alternative, the total welfare is calculated as a weighted sum in which the weight corresponding to the k-th position multiplies the utility in the k-th position. In the a–OWA swf, the utility in the k-th position is the k-th smallest value assumed by the utility functions, whereas, in the b–OWA swf, it is the utility of the k-th poorest individual. We emphasize the differences between the two concepts, analyze the continuity issue and provide maximum points existence results.
|Date of creation:||27 Jul 2012|
|Date of revision:|
|Publication status:||Published in Journal of Optimization Theory and Applications, 2014, 160(2), 623-635|
|Contact details of provider:|| Postal: |
Phone: +39 081 - 675372
Fax: +39 081 - 675372
Web page: http://www.csef.it/
More information through EDIRC
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.:
- David Schmeidler, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Levine's Working Paper Archive
7662, David K. Levine.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
- John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
- Rawls, John, 1974. "Some Reasons for the Maximin Criterion," American Economic Review, American Economic Association, vol. 64(2), pages 141-46, May.
When requesting a correction, please mention this item's handle: RePEc:sef:csefwp:319. 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: (Lia Ambrosio)
If references are entirely missing, you can add them using this form.