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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/10010532576
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
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 vectors to every TU-game. Some solutions that are based on distributing...
Persistent link: https://www.econbiz.de/10011350374
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/10011378792
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the player set that is represented by a digraph. We consider games under precedence constraints introduced by Faigle and … coalition. The hierarchical strength of a player in a coalition in an acyclic digraph is the number of admissible permutations … (those in which successors in the digraph enter before predecessors) where this player is the last of that coalition to enter …
Persistent link: https://www.econbiz.de/10010464783
coalitions). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this …
Persistent link: https://www.econbiz.de/10011378242
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Recently, applications of cooperative game theory to economicallocation problems have gained popularity. To understandthese applications better, economic theory studies thesimilarities and differences between them. The purpose of thispaper is to investigate a special class of cooperative...
Persistent link: https://www.econbiz.de/10011334357