Inferior players in simple games
AbstractPower indices like those of Shapley and Shubik (1954) or Banzhaf (1965) measure the distribution of power in simple games. This paper points at a deficiency shared by all established indices: players who are inferior in the sense of having to accept (almost) no share of the spoils in return for being part of a winning coalition are assigned substantial amounts of power. A strengthened version of the dummy axiom based on a formalized notion of inferior players is a possible remedy. The axiom is illustrated first in a deterministic and then a probabilistic setting. With three axioms from the Banzhaf index, it uniquely characterizes the Strict Power Index (SPI). The SPI is shown to be a special instance of a more general family of power indices based on the inferior player axiom.
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 Springer in its journal International Journal of Game Theory.
Volume (Year): 30 (2001)
Issue (Month): 2 ()
Note: Received: December 1999/Final version: June 2001
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00182/index.htm
Other versions of this item:
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Manfred Holler & Stefan Napel, 2005. "Local monotonicity of power: Axiom or just a property?," Quality & Quantity: International Journal of Methodology, Springer, vol. 38(5), pages 637-647, January.
- Mika Widgrén & Stefan Napel, 2002.
"The Power of a Spatially Inferior Player,"
Institute of SocioEconomics, vol. 19, pages 327-343.
- Montero, Maria & Vidal-Puga, Juan J., 2011. "Demand bargaining and proportional payoffs in majority games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 395-408, March.
- Mika Widgrén, 2003. "Enlargements and the Principles of Designing EU - Decision-Making Procedures," CESifo Working Paper Series 903, CESifo Group Munich.
- Christian Fahrholz & Philipp Mohl, 2004. "EMU-enlargement and the Reshaping of Decision-making within the ECB Governing Council: A Voting-Power Analysis," Eastward Enlargement of the Euro-zone Working Papers wp23, Free University Berlin, Jean Monnet Centre of Excellence, revised 01 Jun 2004.
- Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
- Napel,S. & Widgren,M., 2002. "Power measurement as sensitivity analysis : a unified approach," Working Papers 345, Bielefeld University, Center for Mathematical Economics.
- Powers, Joseph E., 2004. "Strategic Interaction in United States Fishery Management Councils," Marine Resource Economics, Marine Resources Foundation, vol. 19(4).
- Agnieszka Rusinowska, 2010. "The Hoede-Bakker index modiﬁed to the Shapley-Shubik and Holler-Packel indices," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00406430, HAL.
- Stefan Napel & Mika Widgrén, 2002. "Strategic Power Revisited," CESifo Working Paper Series 736, CESifo Group Munich.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.