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! ]

A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Herings,P. Jean-Jacques
Predtetchinski,Arkadi (METEOR)

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

Abstract

It is well--known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pi-balancedness due to Billera (1970) is a sufficient, but not a necessary condition for the core to be non--empty. This paper gives a natural extension of the pi -balancedness condition that is both necessary and sufficient non--emptiness of the core.

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://edocs.ub.unimaas.nl/loader/file.asp?id=580
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 016.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 2002
Date of revision:
Handle: RePEc:dgr:umamet:2002016

Contact details of provider:
Web page: http://edocs.ub.unimaas.nl/

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

Related research
Keywords: microeconomics ;

Other versions of this item:

This paper has been announced in the following NEP Reports: 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. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2000. "Cooperative Games in Graph Structure," Tinbergen Institute Discussion Papers 00-072/1, Tinbergen Institute. [Downloadable!]
    Other versions:
  2. Gerard van der Laan & Zaifu Yang & Dolf Talman, 1998. "Cooperative games in permutational structure," Economic Theory, Springer, vol. 11(2), pages 427-442. [Downloadable!] (restricted)
  3. P. Jean-Jacques Herings, 1997. "An extremely simple proof of the K-K-M-S Theorem," Economic Theory, Springer, vol. 10(2), pages 361-367. [Downloadable!] (restricted)
  4. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  5. Kannai, Yakar, 1992. "The core and balancedness," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 12, pages 355-395 Elsevier. [Downloadable!] (restricted)
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. Allouch,Nizar & Predtetchinski,Arkadi, 2005. "On the non-emptiness of the fuzzy core," Research Memoranda 002, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  2. Talman, D. & Herings, P.J. & Laan, G. van der, 2003. "Socially structured games and their applications," Discussion Paper 40, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. Vincent Iehlé, 2004. "Transfer rate rules and core selections in NTU games," Cahiers de la Maison des Sciences Economiques b04093, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  4. Péter Csóka & P. Jean-Jacques Herings & László Á. Kóczy & Miklós Pintér, 2009. "Convex and Exact Games with Non-transferable Utility," Working Paper Series 0904, Budapest Tech, Keleti Faculty of Economics. [Downloadable!]
    Other versions:
  5. Predtetchinski,Arkadi, 2004. "The Fuzzy Core and the (Π, β)- Balanced Core," Research Memoranda 025, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  6. Peter Csoka & P. Jean-Jacques Herings, & Laszlo A. Koczy, 2007. "Stable Allocations of Risk," IEHAS Discussion Papers 0704, Institute of Economics, Hungarian Academy of Sciences. [Downloadable!]
    Other versions:
  7. Vincent Iehlé, 2005. "The core-partition of hedonic games," Cahiers de la Maison des Sciences Economiques b05091, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  8. P. Herings & Gerard Laan & Dolf Talman, 2007. "Socially Structured Games," Theory and Decision, Springer, vol. 62(1), pages 1-29, February. [Downloadable!] (restricted)
  9. Jean-Marc Bonnisseau & Vincent Iehlé, 2007. "Payoff-dependent balancedness and cores (revised version)," UFAE and IAE Working Papers 678.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
  10. Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á., 2007. "Balancedness Conditions for Exact Games," Research Memoranda 039, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  11. Jean-Marc Bonnisseau & Vincent Iehle, 2004. "Payoffs-dependent Balancedness and Cores," Game Theory and Information 0403004, EconWPA. [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? Cannot find something on IDEAS? Encourage the publisher to index it! Instructions.

This page was last updated on 2009-12-16.

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.