Measuring voting power: The paradox of new members vs the null player axiom
AbstractQualified majority voting is used when decisions are made by voters of different sizes. In such situations the voters' influence on decision making is far from obvious; power measures are used for an indication of the decision making ability. Several power measures have been proposed and characterised by simple axioms to help the choice between them. Unfortunately the power measures also feature a number of so-called paradoxes of voting power. In this paper we show that the Paradox of New Members follows from the Null Player Axiom. As a corollary of this result it follows that there does not exist a power measure that satisfies the axiom, while not exhibiting the Paradox.
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Bibliographic InfoPaper provided by Óbuda University, Keleti Faculty of Business and Management in its series Working Paper Series with number 0903.
Length: 15 pages
Date of creation: 2009
Date of revision:
a priori voting power; paradox of new members; null player axiom;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-05-23 (All new papers)
- NEP-CDM-2009-05-23 (Collective Decision-Making)
- NEP-POL-2009-05-23 (Positive Political Economics)
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