Characterization of the Shapley-Shubik Power Index Without the Efficiency Axiom
AbstractWe show that the Shapley-Shubik power index on the domain of simple (voting) games can be uniquely characterized without the e¢ ciency axiom. In our axiomatization, the efficiency is replaced by the following weaker require- ment that we term the gain-loss axiom: any gain in power by a player implies a loss for someone else (the axiom does not specify the extent of the loss). The rest of our axioms are standard: transfer (which is the version of additivity adapted for simple games), symmetry or equal treatment, and dummy
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Bibliographic InfoPaper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1004.
Length: 13 pages
Date of creation: 2010
Date of revision:
Simple Games; Shapley-Shubik Power Index; Effciency 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-2010-08-28 (All new papers)
- NEP-CDM-2010-08-28 (Collective Decision-Making)
- NEP-GTH-2010-08-28 (Game Theory)
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