This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Canonical Representation of Set Functions

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Itzhak Gilboa
David Schmeidler

Additional information is available for the following registered author(s):

Abstract

The representation of a cooperative transferable utility game as a linear combination of unanimity games may be viewed as an isomorphism between not-necessarily additive set functions on the players space and additive ones on the coalitions space. We extend the unanimity-basis representation to general (infinite) spaces of players, study spaces of games of games which satisfy certain properties and provide some conditions for sigma-additivity of the resulting additive set function (on the space of coalitions). These results also allow us to extend some representations of the Choquet integral from finite to infinite spaces.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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.kellogg.northwestern.edu/research/math/papers/986.pdf
File Format: application/pdf
File Function: main text
Download Restriction: no

Publisher Info
Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 986.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: Apr 1992
Date of revision:
Handle: RePEc:nwu:cmsems:986

Contact details of provider:
Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
Phone: 847/491-3527
Fax: 847/491-2530
Email:
Web page: http://www.kellogg.northwestern.edu/research/math/
More information through EDIRC

Order Information:
Email:

For technical questions regarding this item, or to correct its listing, contact: (Fran Walker).

Related research
Keywords:

Other versions of this item:

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.:
  1. Itzhak Gilboa & David Schmeidler, 1992. "Additive Representation of Non-Additive Measures and the Choquet Integral," Discussion Papers 985, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  2. Itzhak Gilboa & David Schmeidler, 1991. "Updating Ambiguous Beliefs," Discussion Papers 924, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  3. Gilboa, Itzhak & Lehrer, Ehud, 1991. "Global Games," International Journal of Game Theory, Springer, vol. 20(2), pages 129-47.
    Other versions:
    • Itzhak Gilboa & Ehud Lehrer, 1990. "Global Games," Discussion Papers 922, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Full references

Cited by:
(explanations, 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.)

  1. De Waegenaere, A. & Wakker, P., 1997. "Choquet integrals with respect to non-monotonic set functions," Discussion Paper 44, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Simon Grant & Atsushi Kajii, 2005. "Probabilistically Sophisticated Multiple Priors," KIER Working Papers 608, Kyoto University, Institute of Economic Research. [Downloadable!]
  3. Christian Bauer, . "Products of convex measures: A Fubini theorem," Macroeconomics, Department of Economics, Economics I, Bayreuth University. [Downloadable!]
  4. Massimo Marinacci, 1995. "Decomposition and Representation of Coalitional Games," Discussion Papers 1152, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  5. Alain Chateauneuf & Jean-Philippe Lefort, 2006. "Some Fubini theorems on sigma-algebras for non additive measures," Cahiers de la Maison des Sciences Economiques b06086, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  6. Zaier Aouani, 2004. "Exact capacities and star shaped distorted probabilities," Cahiers de la Maison des Sciences Economiques b04117, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? You too can volunteer for RePEc, for example by editing a NEP report.

This page was last updated on 2009-12-21.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.