On the ordinal equivalence of the Johnston, Banzhaf and Shapley power indices

DOI10.1016/j.ejor.2011.07.028zbMath1237.91025OpenAlexW1988429808MaRDI QIDQ421763

Montserrat Pons, Dorota Marciniak, Josep Freixas

Publication date: 14 May 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2011.07.028

zbMATH Keywords

game theorydecision support systemssimple gamespower indicescomplete simple gamesordinal equivalence

Mathematics Subject Classification ID

Cooperative games (91A12) Voting theory (91B12)

Related Items (16)

The minimum sum representation as an index of voting power ⋮ Achievable hierarchies in voting games with abstention ⋮ A three-dimensional voting system in Hong Kong ⋮ Success and decisiveness on proper symmetric games ⋮ The cost of getting local monotonicity ⋮ Ordinal equivalence of values, Pigou-Dalton transfers and inequality in TU-games ⋮ Properties of ladder tournaments ⋮ On the enumeration of some inequivalent monotone Boolean functions ⋮ Preference integration and optimization of multistage weighted voting system based on ordinal preference ⋮ Power in voting rules with abstention: an axiomatization of a two components power index ⋮ On the ordinal equivalence of the Jonhston, Banzhaf and Shapley-Shubik power indices for voting games with abstention ⋮ Unnamed Item ⋮ Set-weighted games and their application to the cover problem ⋮ COMPARING POWER INDICES ⋮ A critical analysis on the notion of power ⋮ Power indices for networks, with applications to matching markets

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