Abstract
Many voting bodies are constituted on a principle of accountability whereby a member’s influence is intended to be a reflection of a measure of size such as financial contribution or population. Examples include the joint stock company, the US Electoral College, the IMF executive and the EU council of ministers.
Power indices are a tool for addressing the (often ignored) problem inherent in this: that the constitution defines the voting rules and not the effective voting powers they imply. Indices due to Penrose-Banzhaf and Shapley-Shubik are often used. That they ignore preferences is often cited as a limitation with regard to positivistic analysis of existing constitutions but an advantage when they are used to address the normative problem of designing voting rules. Power indices can reveal hidden properties of voting rules that are not obvious at a superficial level. The issue of how to construct behavioral power indices that do take account of preferences remains an important research dimension. Power indices can also help us understand multi-tiered governance structures such as federal constitutions or corporate networks, an area where there is need for further research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Banzhaf JF III (1964) Weighted voting doesn’t work: a mathematical analysis. Rutgers Law Rev 19:317
Braham M, Holler MJ (2005) The impossibility of a preference-based power index. J Theor Polit 17(1):137–157
Coleman JS (1971) Control of collectivities and the power of a collectivity to act. Soc Choice:269–300
Crama Y, Leruth L (2007) Control and voting power in corporate networks: concepts and computational aspects. Eur J Oper Res 178(3):879–893
Fara R, Leech D, Salles M (2014) Voting power and procedures, Springer
Felsenthal D, Machover M (1998) The measurement of voting power. Edward Elgar, Cheltenham
Holler MJ, Nurmi H (2013) Power, voting, and voting power: 30 years after. Springer, Berlin
Leech D (2002) An empirical comparison of the performance of classical power indices. Political Stud 50(1):1–22
Leech D (2003) Computing power indices for large voting games. Manag Sci 49:831–838
Leech D (2013) Power indices in large voting bodies. Public Choice 155(1–2):61–79
Leech D, Leech R Algorithms for voting power indices: www.ecaae.ac.uk
Lindner I, Machover M (2004) LS Penrose’s limit theorem: proof of some special cases. Math Soc Sci 47(1):37–49
Miller NR (2013) A priori voting power and the US Electoral College. In: Holler MJ, Nurmi H (eds) Power, voting, and voting power: 30 years after. Springer, Berlin, pp 411–442
Penrose LS (1946) The elementary statistics of majority voting. J R Stat Soc 109:53–57
Shapley LS, Shubik M (1954) A method for evaluating the distribution of power in a committee system. Am Polit Sci Rev 48(9):787–792
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Science+Business Media, LLC, part of Springer Nature
About this entry
Cite this entry
Leech, D. (2019). Power Indices. In: Marciano, A., Ramello, G.B. (eds) Encyclopedia of Law and Economics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7753-2_375
Download citation
DOI: https://doi.org/10.1007/978-1-4614-7753-2_375
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-7752-5
Online ISBN: 978-1-4614-7753-2
eBook Packages: Economics and FinanceReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences