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Transfers and Exchange-Stability in Two-Sided Matching Problems
Lazarova, Emiliya; Borm, Peter; Estévez-Fernández, Arantza - 2014
uses the fact that the core of an associated compensation matching game with constraints is nonempty. …In this paper we consider one-to-many matching problems where the preferences of the agents involved are represented by … matching to a matching of maximum total reward, one can always provide a compensation schedule that will be ex-post stable in …
Persistent link: https://www.econbiz.de/10010491315
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Characterizing the Core Via K-Core Covers
Sanchez-Rodriguez, Estela; Borm, Peter; … - 2013
shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ⌊|N |/2⌋-core cover …
Persistent link: https://www.econbiz.de/10014038137
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Characterizations of Network Power Measures
van den Brink, René; Borm, Peter; Hendrickx, Ruud; … - 2005
A symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of such networks are exchange networks, communication networks, disease transmission networks, control networks etc. For every symmetric network we define a cooperative transferable...
Persistent link: https://www.econbiz.de/10010325263
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Characterizing the Core via k-Core Covers
Sánchez-Rodríguez, Estela; Borm, Peter; … - 2013
shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ? …
Persistent link: https://www.econbiz.de/10010326133
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Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach
Xu, Genjiu; van den Brink, René; van der Laan, Gerard; … - 2012
Hamiache (2001) assigns to every TU game a so-called associated game and then shows that the Shapley value is characterized as the unique solution for TU games satisfying the inessential game property, continuity and associated consistency. The latter notion means that for every game the Shapley...
Persistent link: https://www.econbiz.de/10010326456
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The alpha-constant-sum games
Wang, Wenna; van den Brink, René; Sun, Hao; Xu, Genjiu; … - 2019
Given any alpha in [0,1], an alpha-constant-sum game on a finite set of players, N, is a function that assigns a real number to any coalition S (being a subset of the player set N), such that the sum of the worth of the coalition S and the worth of its complementary coalition N\S is alpha times...
Persistent link: https://www.econbiz.de/10012114775
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The family of ideal values for cooperative games
Wang, Wenna; Sun, Hao; van den Brink, Rene; Xu, Genjiu - 2018
In view of the nature of pursuing profit, a selfish coefficient function is employed to describe the degrees of selfishness of players in different coalitions, which is the desired rate of return to the worth of coalitions. This function brings in the concept of individual expected reward to...
Persistent link: https://www.econbiz.de/10011819517
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Sharing the cost of cleaning up a polluted river
Li, Wenzhong; Xu, Genjiu; van den Brink, Rene - 2021
Consider a group of agents located along a polluted river where every agent must pay a certain cost for cleaning up the polluted river. Following the model of Ni and Wang (2007), we propose the class of alpha-Local Responsibility Sharing methods, which generalizes the Local Responsibility...
Persistent link: https://www.econbiz.de/10012605994
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Nontransferable Utility Bankruptcy Games
Estévez-Fernández, Arantza; Borm, Peter; … - 2014
merge convex and ordinal convex. Generalizing the notions of core cover and compromise stability for transferable utility …
Persistent link: https://www.econbiz.de/10010377244
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Comparable Characterizations of Four Solutions for Permission Tree Games
van den Brink, René; Dietz, Chris; van der Laan, Gerard; … - 2015
There is an extensive literature that studies situations of restricted cooperation in cooperative games. Myerson (1979) introduced communication graph games, where players can only cooperate if they are connected in an undirected graph representing the communication possibilities. The Myerson...
Persistent link: https://www.econbiz.de/10010491412