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coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …
Persistent link: https://www.econbiz.de/10010325691
distribution to every TU-game. A well-known solution is the nucleolus. A cooperative game with a permission structure describes a … provide a polynomial time algorithm for computing the nucleolus of the restricted games corresponding to a class of games with …
Persistent link: https://www.econbiz.de/10010325689
distribution to every TU-game. A well-known solution is the nucleolus. A cooperative game with a permission structure describes a … computing the nucleolus of every restricted game corresponding to some disjunctive non-negative additive game with an acyclic …
Persistent link: https://www.econbiz.de/10010325798
ones. We then define the balanced-core as a refinement ofthe core. A payoff vector lies in the balanced-core if it lies in … the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We prove … that any balanced graph game has a nonempty balanced-core.We conclude by some examples showing the usefulness of the …
Persistent link: https://www.econbiz.de/10010324576
The Shapley value of a cooperative transferable utility game distributes the dividend of each coalition in the game equally among its members. Given exogenous weights for all players, the corresponding weighted Shapley value distributes the dividends proportionally to their weights. In this...
Persistent link: https://www.econbiz.de/10010325254
This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus and compromise value. It is seen … that the 1-nucleolus of a cooperative game can be characterized using a combination of standard bankruptcy rules for … associated bankruptcy problems. In particular, for any zero-normalized balanced game, the 1-nucleolus coincides with the Aumann …
Persistent link: https://www.econbiz.de/10011403580
individual compensations, and one about case-system consistency. This unique compensation scheme is the nucleolus of an …
Persistent link: https://www.econbiz.de/10011526119
In this paper we consider the problem of the control of access to a firm's productive asset, embedding the relevant decisionmakers into a general structure of formal authority relations. Within such an authority structure, each decision maker acts as a principal to some decision makers, while...
Persistent link: https://www.econbiz.de/10010325070
In this paper we introduce and characterize two new values for transferable utility games with graph restricted communication and a priori unions. Both values are obtained by applying the Shapley value to an associated TU-game. The graph-partition restricted TU-game is obtained by taking the...
Persistent link: https://www.econbiz.de/10010326357
We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...
Persistent link: https://www.econbiz.de/10010328331