Social choice on complex objects: A geometric approach
Marengo and Pasquali (2008) present a model of object construction in majority voting and show that, in general, by appropriate changes of such bundles, different social outcomes may be obtained. In this paper we extend and generalize this approach by providing a geometric model of individual preferences and social aggregation based on hyperplanes and their arrangements. As an application of this model we give a necessary condition for existence of a local social optimum. Moreover we address the question if a social decision rule depends also upon the number of voting agents. More precisely: are there social decision rules that can be obtained by an odd (even) number of voting agent which cannot be obtained by only three (two) voting agent? The answer is negative. Indeed three (or two) voting agent can produce all possible social decision rules.
|Date of creation:||03 Dec 2008|
|Contact details of provider:|| Postal: Piazza dei Martiri della Liberta, 33, 56127 Pisa|
Web page: http://www.lem.sssup.it/
More information through EDIRC
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.:
- Luigi Marengo & Corrado Pasquali, 2011.
"The construction of choice: a computational voting model,"
Journal of Economic Interaction and Coordination,
Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 139-156, November.
- Luigi Marengo & Corrado Pasquali, 2010. "The construction of choice. A computational voting model," Economics Bulletin, AccessEcon, vol. 30(4), pages 3077-3087.
- Luigi Maregno & Corrado Pasquali, 2008. "A computational voting model," LEM Papers Series 2008/24, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:ssa:lemwps:2008/28. 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: ()
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.