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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 solution for TU-games assigns a set of payoff distributions (possibly empty or consisting of a unique element) to every...
Persistent link: https://www.econbiz.de/10011338005
Persistent link: https://www.econbiz.de/10009720696
We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley...
Persistent link: https://www.econbiz.de/10011379462
In the literature, there exist several models where a cooperative TU-game is enriched with a hierarchical structure on the player set that is represented by a digraph. We consider games under precedence constraints introduced by Faigle and Kern (1992) who also introduce a generalization of the...
Persistent link: https://www.econbiz.de/10010464783
In this paper we study cooperative games with limited cooperation possibilities, represented by an undirected cycle-free communication graph. Players in the game can cooperate if and only if they are connected in the graph, i.e. they can communicate with one another. We introduce a new...
Persistent link: https://www.econbiz.de/10011348360
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/10010477095
Power is a core concept in the analysis and design of organisations. In this paper we consider positional power in hierarchies. 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...
Persistent link: https://www.econbiz.de/10011372509
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/10011377381
Cooperative games with a permission structure are useful tools for analyzing the impact of hierarchical structures on allocation problems in Economics and Operations Research. In this paper, we propose a generalization of the local disjunctive and the local conjunctive permission approaches...
Persistent link: https://www.econbiz.de/10013207269
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/10011380928