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From Hierarchies to Levels: New Solutions for Games
Álvarez-Mozos, Mikel; van den Brink, René; van der … - 2015
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players' possibilities to cooperate. In this paper, we...
Persistent link: https://www.econbiz.de/10011288421
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Polluted River Problems and Games with a Permission Structure
van den Brink, René; He, Simin; Huang, Jia-Ping - 2015
Polluted rivers are harmful to human, animals and plants living along it. To reduce the harm, cleaning costs are generated. However, when the river passes through several different countries or regions, a relevant question is how should the costs be shared among the agents. Ni and Wang (2007)...
Persistent link: https://www.econbiz.de/10011403559
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A Minimal Test for Convex Games and the Shapley Value
Voorneveld, Mark; Grahn, Sofia - 2001
axiomatization of the Shapley value on the set of convex games. …
Persistent link: https://www.econbiz.de/10010321738
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Axiomatizations of Two Types of Shapley Values for Games on Union Closed Systems
van den Brink, Rene; Katsev, Ilya; van der Laan, Gerard - 2009
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10010325733
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Axiomatizations of a Positional Power Score and Measure for Hierarchies
van den Brink, René; Steffen, Frank - 2008
Power is a core concept in the analysis and design of organizations. One of the problems with the extant literature on positional power in hierarchies is that it is mainly restricted to the analysis of power in terms of the bare positions of the actors. While such an analysis informs us about...
Persistent link: https://www.econbiz.de/10010325906
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Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization
van den Brink, Rene; Rusinowska, Agnieszka; Steffen, Frank - 2011
A well-known model in sociology and marketing is that of opinion leadership. Opinion leaders are actors who are able to affect the behavior of their followers. Hence, opinion leaders have some power over their followers, and they can exercise this power by influencing their followers choice of...
Persistent link: https://www.econbiz.de/10010325928
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Axiomatization and Implementation of Discounted Shapley Values
van den Brink, Rene; Funaki, Yukihiko - 2010
We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
Persistent link: https://www.econbiz.de/10010326064
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Players Indifferent to Cooperate and Characterizations of the Shapley Value
Manuel, Conrado; Gonzalez-Aranguena, Enrique - 2012
-known efficiency axiom. Further, we show that another axiomatization of the Shapley value is obtained if we replace t he second axiom …
Persistent link: https://www.econbiz.de/10010326379
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The Average Tree Permission Value for Games with a Permission Tree
van den Brink, Rene; Herings, Jean-Jacques; van der … - 2012
In the literature various models of games with restricted cooperation can be found. In those models, instead of allowing for all subsets of the set of players to form, it is assumed that the set of feasible coalitions is a proper subset of the power set of the set of players. In this paper we...
Persistent link: https://www.econbiz.de/10010326524
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The Degree Ratio Ranking Method for Directed Networks
van den Brink, René; Rusinowska, Agnieszka - 2019
- and indegree of the reflexive digraph. We provide an axiomatization of the ranking by degree ratio using a sybling … not change the ranking among the original nodes. We also provide a new axiomatization of the ranking by Copeland score … than nodes with a positive indegree. We provide an axiomatization of this ranking by modified degree ratio using yet …
Persistent link: https://www.econbiz.de/10012114779