Advanced Search
MyIDEAS: Login

Domain restrictions

In: Handbook of Social Choice and Welfare

Contents:

Author Info

  • Gaertner, Wulf

Abstract

This chapter discusses different types of domain restrictions. We begin by analyzing various qualitative conditions on preference profiles. Value-restricted preferences (with single-peaked preferences as one of its subcases), limited agreement as well as antagonistic and dichotomous preferences are relatively easy to interpret. In our view, the property of single-peakedness stands out in particular. It proves to be a central restriction under majority voting. However, it also plays an essential role in the context of strategy-proof voting rules (which is the topic of another chapter in this Handbook). Furthermore, we consider quantitative or number-specific requirements on the distribution of voters over different preference orderings, and we shall see that some of those requirements are logically related to the qualitative conditions such as extremal restriction and value-restricted preferences. While the latter restrictions are requirements on combinations of individual orderings, the domains of individual orderings that admit n-person nondictatorial social welfare functions a la Arrow result from restrictions on permissible preferences for individuals. While the first five sections study the aggregation problem within the framework of arbitrary finite sets of discrete alternatives, the final section discusses continuous choice rules; the alternatives are assumed to be n-dimensional vectors in Euclidean space. Contractibility as a condition on the topological space of preferences proves to be necessary and sufficient for the existence of continuous aggregation rules.

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://www.sciencedirect.com/science/article/B7P65-4FFPH86-7/2/aa384bd4d3cd7124b0550046e296b4fa
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

as in new window

This chapter was published in:

  • K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
    This item is provided by Elsevier in its series Handbook of Social Choice and Welfare with number 1-03.

    Handle: RePEc:eee:socchp:1-03

    Contact details of provider:
    Web page: http://www.elsevier.com/wps/find/bookseriesdescription.cws_home/BS_HE/description

    Related research

    Keywords:

    Find related papers by JEL classification:

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as in new window

    Cited by:
    1. Salvador Barberà & Danilo Coelho, 2006. "How to choose a non-controversial list with k names," Working Papers 291, Barcelona Graduate School of Economics.
    2. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Vanderbilt University Department of Economics Working Papers 0206, Vanderbilt University Department of Economics, revised Sep 2003.
    3. Mongin, Philippe & Maniquet, François, 2011. "Approval voting and arrow's impossibility theorem," Les Cahiers de Recherche 954, HEC Paris.
    4. Richard Barrett & Maurice Salles, 2006. "Social Choice With Fuzzy Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200615, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.

    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:eee:socchp:1-03. 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: (Zhang, Lei).

    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.