17. A Value for n-Person Games

By Lloyd S. Shapley. 1953

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Citations in the corpus

RoCKIn and the European Robotics League: Building on RoboCup Best Practices to Promote Robot Competitions in Europe (2016, methodology): “To state the importance of a functionality in performing a given task, RoCKIn borrows the concept of Shapley value from Game theory [5].”
Values for rooted-tree and sink-tree digraph games and sharing a river (2008, background): “It is well known (Shapley 1953) that unanimity games {uT }T ⊆N T =∅ , defined as uT (S) = 1 if T ⊆ S, and uT (S) = 0 otherwise, create a basis for the game space GN , i.e., every game v ∈ GN can be uniquely presented in the linear form v = ∑ T ⊆N T =∅ λvT uT , where λvT = ∑ S⊆T (−1)t−s v(S), for…”
Forecasting gold price with the XGBoost algorithm and SHAP interaction values (2021, unknown): “SHAP was initially proposed by Shapley in 1953 and it is based on game theory (Shapley, 1953).”
Game Theory in Supply Chain Analysis (2004, background): “Stochastic games were developed by Shapley (1953a) and later by Sobel (1971), Kirman and Sobel (1974) and Heyman and Sobel (1984).”
Allocation in Life Cycle Inventory Analysis for Joint Production (2000, background): “Such negotiations, required for example in the field of emissions not (yet) traded on the market, can be modelled with game theory (cf. SHAPLEY, 1953; MÜLLER-FÜRSTENBERGER, 1998)6.”
Cooperative game theory approach to allocating benefits of horizontal cooperation (2013, methodology): “The Shapley value (Shapley, 1953 ) is one of the solution methods most common in the literature.”
Decomposition procedures for distributional analysis: a unified framework based on the Shapley value (2013, background): “The Shapley value (Shapley, 1953) provides a popular answer to this question.”
The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020, unknown): “The use of Shapley values (Shapley, 1953) to develop importance measures being able to deal with dependent inputs/features have emerged recently but independently in the SA (Owen, 2014) and ML (Lundberg et al., 2017) communities.”
Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games (2009, methodology): “The characterization of the τ -value by efficiency, the minimal right property and the restricted proportionality property, as given in Tijs (1987), can be reformulated by adapting the lower and upper bounds to give characterizations of φ on the adapted class of games.”
Component efficient solutions in line-graph games with applications (2007, background): “The Shapley value (Shapley 1953) is the solution ψ that assigns to TU-game v the payoff vector ψ(v), being the average of the marginal value vectors over the set of all permutations π : N → N , and thus lies in the Core if the game is convex.”