Axiomatizations of a class of equal surplus sharing solutions for TU-games
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Publication:1036101
DOI10.1007/s11238-007-9083-xzbMath1192.91024OpenAlexW2023398385MaRDI QIDQ1036101
René van den Brink, Yukihiko Funaki
Publication date: 4 November 2009
Published in: Theory and Decision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11238-007-9083-x
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The duplicate extension for the equal allocation of nonseparable costs ⋮ The equal collective gains value in cooperative games ⋮ Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations ⋮ New results on egalitarian values for games with a priori unions ⋮ On the equal surplus sharing interval solutions and an application ⋮ On egalitarian values for cooperative games with a priori unions ⋮ Modeling values for TU-games using generalized versions of consistency, standardness and the null player property ⋮ On membership and marginal values ⋮ Coalitional desirability and the equal division value ⋮ Axiomatizations and a Noncooperative Interpretation of the α-CIS Value ⋮ Consistency, population solidarity, and egalitarian solutions for TU-games ⋮ Values for environments with externalities -- the average approach ⋮ Balanced externalities and the Shapley value ⋮ Sharing the surplus and proportional values ⋮ On an extension of the concept of TU-games and their values ⋮ Necessary versus equal players in axiomatic studies ⋮ Process and optimization implementation of the \(\alpha \)-ENSC value ⋮ Duality in land rental problems ⋮ Players' dummification and the dummified egalitarian non-separable contribution value ⋮ Coalitional surplus desirability and the equal surplus division value ⋮ Implementation and axiomatization of discounted Shapley values ⋮ Optimal coalition formation and surplus distribution: two sides of one coin ⋮ Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value ⋮ Population solidarity, population fair-ranking, and the egalitarian value ⋮ Mathematical encouragement of companies to cooperate by using cooperative games with fuzzy approach ⋮ Nullified equal loss property and equal division values ⋮ Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games ⋮ Axiomatization for the center-of-gravity of imputation set value ⋮ Effects of Players’ Nullification and Equal (Surplus) Division Values ⋮ Equal loss under separatorization and egalitarian values ⋮ A new axiomatization of a class of equal surplus division values for TU games ⋮ Similarities in axiomatizations: equal surplus division value and first-price auctions ⋮ Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values ⋮ The family of ideal values for cooperative games ⋮ Discounted tree solutions ⋮ Pure Bargaining Problems and the Shapley Rule ⋮ Recursive and bargaining values ⋮ Associated consistency characterization of two linear values for TU games by matrix approach ⋮ Axiomatic characterizations of the egalitarian solidarity values ⋮ Null, nullifying, or dummifying players: the difference between the Shapley value, the equal division value, and the equal surplus division value ⋮ Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values ⋮ Compromising between the proportional and equal division values ⋮ Axiomatizations of the proportional division value ⋮ Egalitarian allocation and players of certain type ⋮ Procedural implementation and axiomatization of the weighted nonseparable cost value ⋮ Relationally equal treatment of equals and affine combinations of values for TU games ⋮ Preserving or removing special players: what keeps your payoff unchanged in TU-games? ⋮ Solidarity within a fixed community ⋮ On a new method of analyzing properties of efficient, symmetric and linear values of TU-games
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