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! ]

Convexity in stochastic cooperative situations

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Timmer, J.
Borm, P.
Tijs, S. (Tilburg University, Center for Economic Research)

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

Abstract

This paper introduces a new model concerning cooperative situations in which the payoffs are modeled by random variables. First, we study adequate preference relations of the agents. Next, we define corresponding cooperative games and we introduce and study various basic notions like an allocation, the core and marginal vectors. Furthermore, we introduce three types of convexity, namely coalitional-merge, individual-merge and marginal convexity. The relations between these definitions are studied and in particular, as opposed to the deterministic counterparts for TU games, we show that these three types of convexity are not equivalent. However, all types imply that the core of the game is nonempty and the first two types even imply that each subgame has a nonempty core. In particular, we show that the Shapley value, the average of the marginal vectors, belongs to the core of the convex game for certain types of preferences and for any type of convexity.

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://arno.uvt.nl/show.cgi?fid=4023
File Format: application/postscript
File Function:
Download Restriction: no
File URL: http://arno.uvt.nl/show.cgi?fid=4022
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 4.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 2000
Date of revision:
Handle: RePEc:dgr:kubcen:20004

Contact details of provider:
Web page: http://center.uvt.nl

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

Related research
Keywords: 90D12;

Other versions of this item:

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June. [Downloadable!] (restricted)
  2. Suijs, Jeroen & De Waegenaere, Anja & Borm, Peter, 1998. "Stochastic cooperative games in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 209-228, July. [Downloadable!] (restricted)
  3. Suijs, Jeroen & Borm, Peter & De Waegenaere, Anja & Tijs, Stef, 1999. "Cooperative games with stochastic payoffs," European Journal of Operational Research, Elsevier, vol. 113(1), pages 193-205, February. [Downloadable!] (restricted)
    Other versions:
  4. Suijs, Jeroen & Borm, Peter, 1999. "Stochastic Cooperative Games: Superadditivity, Convexity, and Certainty Equivalents," Games and Economic Behavior, Elsevier, vol. 27(2), pages 331-345, May. [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. Yanovskaya, E. & Brânzei, R. & Tijs, S.H., 2008. "Monotonicity Problems of Interval Solutions and the Dutta-Ray Solution for Convex Interval Games," Discussion Paper 2008-102, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Timmer, J. & Borm, P. & Tijs, S., 2000. "On three Shapley-like solutions for cooperative games with random payoffs," Discussion Paper 73, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. Hendrickx, R. & Borm, P. & Timmer, J., 2000. "On convexity for NTU-games," Discussion Paper 108, Tilburg University, Center for Economic Research. [Downloadable!]
  4. D. Bauso & J. Timmer, 2009. "Robust dynamic cooperative games," International Journal of Game Theory, Springer, vol. 38(1), pages 23-36, March. [Downloadable!] (restricted)
  5. Tijs, S. & Timmer, J. & Branzei, R., 2001. "Compensations in information collecting situations," Discussion Paper 2, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Timmer, J., 2000. "The compromise value for cooperative games with random payoffs," Discussion Paper 98, Tilburg University, Center for Economic Research. [Downloadable!]
  7. Francesco Passarelli, 2007. "Asymmetric Bargaining," ISLA Working Papers 26, ISLA, Centre for research on Latin American Studies and Transition Economies, Universita' Bocconi, Milano, Italy, revised Jan 2007. [Downloadable!]
Statistics
Access and download statistics

Did you know? Over 1000 institutions contribute their bibliographic data directly to this service.

This page was last updated on 2009-11-25.

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.