Abstract
We study here the strategic possibilities in a voting system where, in weight terms, there is a single main agent and the others are equivalent. As an alternative to the coalition formation, we suggest for the minor agents a more discreet, anonymous and solidary behavior based on commitments referred to the size of the coalitions that they would agree to form. In order to analyze, in a coherent way, the effects of such commitments on the a priori power distribution, we use as measures of power the Shapley value and a certain class of semivalues closely related to it.
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Research partially supported by Grant BFM 2003–01314 of the Science and Technology Spanish Ministry. The authors wish to thank Professor Maurice Salles and two anonymous referees for their stimulating comments.
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Carreras, F., Freixas, J. On power distribution in weighted voting. Soc Choice Welfare 24, 269–282 (2005). https://doi.org/10.1007/s00355-003-0302-2
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DOI: https://doi.org/10.1007/s00355-003-0302-2