Evaluation of decision power in multi-dimensional rules

DOI10.1016/j.mathsocsci.2021.11.001zbMath1489.91077OpenAlexW3215848907MaRDI QIDQ2070556

Sébastien Courtin

Publication date: 24 January 2022

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2021.11.001

zbMATH Keywords

power indexpublic good indexShapley-Shubik indexBanzhaf indexdeegan-packel indexmulti-dimensional rules

Mathematics Subject Classification ID

Decision theory (91B06) Voting theory (91B12) Social choice (91B14)

Cites Work

• The Shapley-Shubik power index for dichotomous multi-type games
• Quaternary dichotomous voting rules
• Dichotomous multi-type games with a coalition structure
• A class of simple games
• Characterizations of the Deegan-Packel and Johnston power indices
• An axiomatization of the Banzhaf value
• A new index of power for simple n-person games
• Ternary voting games
• Multi-dimensional rules
• Computing power indices: multilinear extensions and new characterizations
• Two new power indices based on winning coalitions
• Mathematical Properties of the Banzhaf Power Index
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