The Banzhaf Index in Complete and Incomplete Shareholding Structures: A New Algorithm
AbstractIn this global world many firms present a complex shareholding structure with indirect participation, such that it may become difficult to assess a firm’s controllers. Furthermore, if there are numerous dominant shareholders, the control can be shared between them. Determining who has the most influence often is a difficult task. To measure this influence, game theory allows modeling voting game and computing the Banzhaf index. This paper first offers a new algorithm to compute this index in all structures and suggests some modelisations of the floating shareholder. Then, our model is applied to a real case study: The French Group Lafarge. This exemplary case demonstrates how the float’s structure and hidden coalition can impact the power relationship between dominant shareholders.
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.
Bibliographic InfoPaper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 10-046.
Length: 33 p.
Date of creation: Sep 2010
Date of revision:
Publication status: Published by:
Contact details of provider:
Postal: CP114/03, 42 avenue F.D. Roosevelt, 1050 Bruxelles
Phone: +32 (0)2 650.48.64
Fax: +32 (0)2 650.41.88
Web page: http://difusion.ulb.ac.be
More information through EDIRC
Ownership structure; Control; Banzhaf index;
Other versions of this item:
- Levy, Marc, 2011. "The Banzhaf index in complete and incomplete shareholding structures: A new algorithm," European Journal of Operational Research, Elsevier, vol. 215(2), pages 411-421, December.
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
- L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-10-02 (All new papers)
- NEP-CDM-2010-10-02 (Collective Decision-Making)
- NEP-GTH-2010-10-02 (Game Theory)
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Marc Levy & Ariane Szafarz, 2011. "Corporate Control with Cross-Ownership," Working Papers CEB 11-053, ULB -- Universite Libre de Bruxelles.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Benoit Pauwels).
If references are entirely missing, you can add them using this form.