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The traditional assumption in cooperative game theory is that every coalition is feasible and can form to attain its …
Persistent link: https://www.econbiz.de/10014189119
weighted Shapley value of a game with restricted communication …
Persistent link: https://www.econbiz.de/10013142410
individual institutions. Making use of constructs from game theory, we propose an attribution methodology that has a number of …
Persistent link: https://www.econbiz.de/10013094604
In a standard TU-game it is assumed that every subset of the player set can form a coalition and earn its worth. One of the first models where restrictions in cooperation are considered is the one of games with coalition structure. In such games the player set is partitioned into unions and...
Persistent link: https://www.econbiz.de/10010326205
A new solution is presented for transferable utility games with graph communication where the cooperation possibilities … connected set in the given graph. To determine the payoff for each player, a single-valued solution, the communication tree …, called a communication tree. For a given game each communication tree of the graph induces a marginal contribution vector, in …
Persistent link: https://www.econbiz.de/10013097263
We study cooperative games with communication structure, represented by an undirected graph. Players in the game are … complete communication structure, then the proposed solution coincides with the Shapley value, and that if the game has a cycle …-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link …
Persistent link: https://www.econbiz.de/10012723213
We study cooperative games with communication structure, represented by an undirected graph. Players in the game are … complete communication structure, then the proposed solution coincides with the Shapley value, and that if the game has a cycle …-free communication structure, it is the solution proposed by Herings, van der Laan and Talman (2008). We introduce the notion of link …
Persistent link: https://www.econbiz.de/10012723255
Herings et al. (2008) proposed a solution concept called the average tree solution for cycle-free graph games. We provide a characterization of the average tree solution for cycle-free graph games. The characterization underlines an important difference, in terms of symmetric treatment of...
Persistent link: https://www.econbiz.de/10012718484
restricted because communication between the players is restricted. The bilateral communication possibilities are modeled by … means of a (communication) graph. We are interested in how the communication restrictions influence the game. In particular …, we investigate what conditions on the communication graph guarantee that certain appealing properties of the original …
Persistent link: https://www.econbiz.de/10014150966
-free communication graph. Players in the game can cooperate if and only if they are connected in the graph, i.e. they can communicate …
Persistent link: https://www.econbiz.de/10014027350