NULL PLAYERS OUT? LINEAR VALUES FOR GAMES WITH VARIABLE SUPPORTS

DOI10.1142/S0219198999000220zbMath1045.91502OpenAlexW2149422630WikidataQ59868847 ScholiaQ59868847MaRDI QIDQ4816626

Publication date: 10 September 2004

Published in: International Game Theory Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219198999000220

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (42)

ALLOCATION OF FIXED COSTS: CHARACTERIZATION OF THE (DUAL) WEIGHTED SHAPLEY VALUE ⋮ Characterizations of weighted and equal division values ⋮ Axiomatic characterizations under players nullification ⋮ The priority value for cooperative games with a priority structure ⋮ The proportional Shapley value and applications ⋮ The airport problem with capacity constraints ⋮ Harsanyi support levels solutions ⋮ An axiomatic characterization of the Owen-Shapley spatial power index ⋮ Fair division in the presence of externalities ⋮ Value-free reductions ⋮ Coincidence of the Shapley value with other solutions satisfying covariance ⋮ Group contributions in TU-games: a class of \(k\)-lateral Shapley values ⋮ The proportional ordinal Shapley solution for pure exchange economies ⋮ Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value ⋮ Axiomatic characterizations of the family of Weighted priority values ⋮ Nullified equal loss property and equal division values ⋮ New characterizations and a concept of potential for each multinomial (probabilistic) value ⋮ Values with exogenous payments ⋮ Marginality, differential marginality, and the Banzhaf value ⋮ The class of ASN-position values. Centrality and consequences of connection failure ⋮ Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values ⋮ Pyramidal values ⋮ Some properties for bisemivalues on bicooperative games ⋮ Comparable characterizations of four solutions for permission tree games ⋮ Axiomatizations of Banzhaf permission values for games with a permission structure ⋮ Axiomatization of the Shapley value using the balanced cycle contributions property ⋮ Merge-proofness in minimum cost spanning tree problems ⋮ Unnamed Item ⋮ Population monotonic path schemes for simple games ⋮ Balanced contributions based on indirect claims and the Shapley value ⋮ The serial property and restricted balanced contributions in discrete cost sharing problems ⋮ New axiomatizations of the Owen value ⋮ Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values ⋮ Some properties for probabilistic and multinomial (probabilistic) values on cooperative games ⋮ Axiomatizations of a class of equal surplus sharing solutions for TU-games ⋮ Relationally equal treatment of equals and affine combinations of values for TU games ⋮ Priority relations and cooperation with multiple activity levels ⋮ Some game theoretic marketing attribution models ⋮ A decomposition of the space of TU-games using addition and transfer invariance ⋮ Preserving or removing special players: what keeps your payoff unchanged in TU-games? ⋮ Weak addition invariance and axiomatization of the weighted Shapley value ⋮ On a class of solidarity values

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