The Shapley Value
A Decomposition of the Atkinson Index through the Shapley Value
... This paper studies the economic inequality as a phenomenon resulting from two variables: The variable of responsibil- ity which depends on the agents’ performance in the economy, and the variable of opportunity which is ...
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Sparse Classifier Design Based on the Shapley Value
... The important features of the proposed SCM over SVM are: 1. It typically requires fewer basis functions without loss in the generalization performance when compared to an equivalent SVM and also allow us to directly ...
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Reject and Renegotiate : the Shapley value in multilateral bargaining
... the Shapley value in non-cooperative ...the Shapley value, which plays a key role in proving the main results of the ...the Shapley value per se, but also helps to yield the ...
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Compensations in the Shapley value and the compensation solutions for graph games
... the Shapley value, which is similar in spirit to the principle of compensation formulated by Eisenman [4] but preserves Shap- ley’s idea of a one-by-one formation of the grand ...the Shapley ...
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An application of the Shapley value to the analysis of co-expression networks
... the Shapley value along the lines discussed in the motivating example of “A motivating example” section and in Example 1, does not apply to the network of ...the Shapley value provided in “A ...
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On the Coalitional Rationality of the Shapley Value and Other Efficient Values of Cooperative TU Games
... with m n ( ) arbitrary. Hence, the LS-values are extensions of the Shapley Value, so that we shall meet proper- ties similar to those of the Shapley Value. In an earlier work of the author ...
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An Analysis of the Shapley Value and its Uncertainty for the Voting Game
... the Shapley value provides a unique solution, it has two key ...the Shapley value is # P -complete ...the Shapley value provides an addi- tional dimension for evaluating a ...
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Clique games: a family of games with coincidence between the nucleolus and the Shapley value
... the Shapley value and the nucleolus ...creates value when it contains many agents belonging to the same clique, with the value increasing linearly with the number of agents in the same ...
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Egalitarian Allocations and the Inverse Problem for the Shapley Value
... given Shapley Value, finding out a game in which the Shapley Value is Coalitional ...Allocation Value is not a Semivalue, so that these results cannot be applied to this new class of ...
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Characterizing the shapley value to determine the voting power in malaysian general election 2013
... The theory is generally divided into two parts, the non-cooperative theory and the cooperative theory. In non-cooperative theory, communication between the players is allowed but the players are forbidden to make binding ...
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A unified cooperative model for environmental costs in supply chains: the Shapley value for the linear case
... the Shapley value for this unified cooperative game theoretical responsibility ...The Shapley allo- cation satisfies many of the mentioned desirable ...
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SOCIAL NETWORKS COMMUNITY DETECTION USING THE SHAPLEY VALUE
... ‘information value’ of each ...information value of each node after multiple random HDFs and state vector initializations, in order to determine whether every individual in our social network is positioned ...
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Linear efficient and symmetric values for TU games: sharing the joint gain of cooperation
... the Shapley value and the Solidarity ...Consensus value and Egalitarian ...Consensus value considers that, the part taken by the entrant is times its marginal contribution in case the ...
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Cooperative Benefit and Cost Games under Fairness Concerns
... the shapley value, the nucleolus, a specific proportional allocation rule based on standalone costs, and, some other allocation rules based on separable and non- separable costs [22] such as equal charge ...
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Axiomatizations of the proportional Shapley value
... proper Shapley values (Brink et al., 2015) or the proportional value, developed by Ortmann (2000) and Feldman (1999) simulta- ...his value to cost allocation, gives a short overview of proportional ...
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The extended and generalized Shapley value: Simultaneous consideration of coalitional externalities and coalitional structure
... the Shapley value; a novelty in the approach taken by this paper lies in simultaneous consideration of a second kind of ...Owen value, or coalition structure value [5, 10] assigns, to each ...
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Evaluation of The Contributors Of OEE (Overall Equipment Effectiveness) Using Shapley Value: A Case Study
... OEE project. While calculating OEE, we could understand that the Production department is responsible for Performance Rate, the Quality department and Maintenance department are responsible for Quality rate and ...
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Cooperative Max Games and Agent Failures
... When failures are present, an agent that may fail might want to collaborate even with a lower weight agent since the latter can succeed and generate value when the former fails to do so. Such collaboration still ...
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Weighted Shapley levels values
... the Shapley levels ...weighted Shapley collaboration levels values satisfy the null player out property for internally induced ...the Shapley levels value fails and a new extension of the ...
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On the reduced game of a cooperative game and its solution
... Proof. Let ϕ denote the Shapley value, by Theorem B ∗∗∗ , ϕ is efficient and consistent. Given any (N, v) and its non-essential extension (N ∗ , v). Suppose ¯ N = {1, ..., n}, N ∗ = N ∪ {n + 1} and n + 1 be ...
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