Interaction sheaves on continuous domains
AbstractWe introduce a description of the power structure which is inherent in a strategic game form using the concept of an interaction sheaf. The latter assigns to each open set of outcomes a set of interaction arrays, specifying the changes that coalitions can make if outcome belongs to this open set. The interaction sheaf generalizes the notion of effectivity functions which has been widely used in implementation theory, taking into consideration that changes in outcome may be sustained not only by single coalitions but possibly by several coalitions, depending on the underlying strategy choices. Also, it allows us to consider game forms with not necessarily finite sets of outcomes, generalizing the results on solvability of game forms obtained in the finite case in Abdou and Keiding [Abdou, J., Keiding, H., 2003. On necessary and sufficient conditions for solvability of game forms. Mathematical Social Sciences 46, 243-260].
Download InfoIf 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.
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 InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 45 (2009)
Issue (Month): 11 (December)
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Nash equilibrium Strong equilibrium Solvability Effectivity Acyclicity;
Other versions of this item:
- J. Abdou & Hans Keiding, 2008. "Interaction Sheaves on Continuous Domains," Discussion Papers, University of Copenhagen. Department of Economics 08-1, University of Copenhagen. Department of Economics.
- Joseph Abdou & Hans Keiding, 2008. "Interaction sheaves on continuous domains," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers), HAL halshs-00289299, HAL.
- Joseph Abdou & Hans Keiding, 2008. "Interaction sheaves on continuous domains," Documents de travail du Centre d'Economie de la Sorbonne, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne b08040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Joseph Abdou & Hans Keiding, 2009. "Interaction Sheaves on Continuous Domains," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers), HAL halshs-00633578, HAL.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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.:
- Moulin, Hervé & Peleg, B., 1982.
"Cores of effectivity functions and implementation theory,"
Economics Papers from University Paris Dauphine, Paris Dauphine University
123456789/13220, Paris Dauphine University.
- Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 10(1), pages 115-145, June.
- Abdou, Joseph & Keiding, Hans, 2003. "On necessary and sufficient conditions for solvability of game forms," Mathematical Social Sciences, Elsevier, Elsevier, vol. 46(3), pages 243-260, December.
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.