New mathematical properties of the Banzhaf value
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Publication:1278403
DOI10.1016/0377-2217(95)00292-8zbMath0942.91501OpenAlexW2055403054MaRDI QIDQ1278403
Publication date: 24 August 2000
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10106/2494
Related Items (26)
On the axiomatic characterization of the coalitional multinomial probabilistic values ⋮ On the inverse power index problem ⋮ Protectionism and blocking power indices ⋮ A solution concept for network games: the role of multilateral interactions ⋮ The allocation of marginal surplus for cooperative games with transferable utility ⋮ Potentials and reduced games for share functions ⋮ The least square values and the Shapley value for cooperative TU games ⋮ Value-free reductions ⋮ Reconstructing a simple game from a uniparametric family of allocations ⋮ Consistency and the graph Banzhaf value for communication graph games ⋮ The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure ⋮ Semivalues as power indices. ⋮ New characterizations and a concept of potential for each multinomial (probabilistic) value ⋮ Some recursive definitions for linear values of cooperative TU games ⋮ The Banzhaf value for generalized probabilistic communication situations ⋮ \(\alpha\)-decisiveness in simple games ⋮ Associated consistency characterization of two linear values for TU games by matrix approach ⋮ ON THE SEMIVALUES AND THE POWER CORE OF COOPERATIVE TU GAMES ⋮ A decisiveness index for simple games ⋮ Power and potential maps induced by any semivalue: some algebraic properties and computation by multilinear extensions ⋮ A-potential function and a non-cooperative foundation for the solidarity value ⋮ On the semivalues and the least square values average per capita formulas and relationships ⋮ An axiomatic characterization for regular semivalues ⋮ Associated games to optimize the core of a transferable utility game ⋮ The banzhaf – coleman index for games withralternatives ⋮ Mew mathematical properties of the semivalues of cooperative tu games*
Cites Work
- An axiomatization of the Banzhaf value
- On the uniqueness of the Shapley value
- Alternative axiomatic characterizations of the Shapley and Banzhaf values
- A Survey of Consistency Properties in Cooperative Game Theory
- Potential, Value, and Consistency
- Mathematical Properties of the Banzhaf Power Index
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