On the existence of a minimum integer representation for weighted voting systems
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Publication:1026570
DOI10.1007/s10479-008-0422-2zbMath1163.91339OpenAlexW2128712921MaRDI QIDQ1026570
Josep Freixas, Xavier Molinero
Publication date: 25 June 2009
Published in: Annals of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10479-008-0422-2
weighted voting gamesminimal realizationssimple gamesminimum realizationrealizations with minimum sum
Related Items (22)
On the inverse power index problem ⋮ The minimum sum representation as an index of voting power ⋮ Cooperation through social influence ⋮ On Dedekind's problem for complete simple games ⋮ Representation-compatible power indices ⋮ Trading transforms of non-weighted simple games and integer weights of weighted simple games ⋮ On weights and quotas for weighted majority voting games ⋮ An adaptive model of demand adjustment in weighted majority games ⋮ On the use of binary decision diagrams for solving problems on simple games ⋮ Complete voting systems with two classes of voters: weightedness and counting ⋮ On the generalized dimension and codimension of simple games ⋮ Forms of representation for simple games: sizes, conversions and equivalences ⋮ Voting power in the EU council of ministers and fair decision making in distributive politics ⋮ On minimum integer representations of weighted games ⋮ Hierarchy of players in swap robust voting games ⋮ On minimum sum representations for weighted voting games ⋮ On the structure of minimal winning coalitions in simple voting games ⋮ Dynamic programming algorithms for computing power indices in weighted multi-tier games ⋮ On the enumeration of bipartite simple games ⋮ Heuristic and exact solutions to the inverse power index problem for small voting bodies ⋮ Pseudo polynomial size LP formulation for calculating the least core value of weighted voting games ⋮ SOME OPEN PROBLEMS IN SIMPLE GAMES
Uses Software
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