, 2013 This paper concerns the analysis of the Shapley value in matching games. Matching games constitute a fundamental class of cooperative games which help understand and model auctions and assignments. In a matching game, the value of a coalition of vertices
Aziz, Haris, de Keijzer, Bart
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Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value
Mathematics, 2020 In this paper, we provide cooperative and non-cooperative interpretations of the Shapley–Solidarity value for cooperative games with coalition structure. Firstly, we present two new characterizations of this value based on intracoalitional quasi-balanced
Jun Su +3 more
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Computing the Shapley value in allocation problems: approximations and bounds, with an application to the Italian VQR research assessment program [PDF]
, 2018 In allocation problems, a given set of goods are assigned to agents in such a way that the social welfare is maximised, that is, the largest possible global worth is achieved.
Lupia, Francesco +4 more
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Weighted shapley value: A cooperative game theory for loss allocation in distribution systems
Frontiers in Energy Research, 2023 This paper proposes a new method for assigning distribution system (DS) losses to consumers and distributed generations in the framework of a liberalized energy market. The architecture of the proposed method is based on a synthesis of electrical network
Vijay Pal Singh +2 more
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The Shapley value of coalitions to other coalitions
Humanities & Social Sciences Communications, 2020 The Shapley value for an n-person game is decomposed into a 2 n × 2 n value matrix giving the value of every coalition to every other coalition. The cell ϕ IJ (v, N) in the symmetric matrix is positive, zero, or negative, dependent on whether row ...
Kjell Hausken
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Efficient Computation and Estimation of the Shapley Value for Traveling Salesman Games
IEEE Access, 2021 The traveling salesman game (TSG) consists of dividing the cost of a round trip among several customers. One of the most significant solution concepts in cooperative game theory is the Shapley value, which provides a fair division of the costs for a ...
Chaya Levinger, Noam Hazon, Amos Azaria
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UNCERTAINTY OF THE SHAPLEY VALUE [PDF]
International Game Theory Review, 2003 This paper defines a measure of bargaining uncertainty that quantifies Roth's concept of strategic risk. It shows how this measure can be used for checking reliability of the Shapley value in cost allocation problems and in the theory of competitive equilibrium.
openaire +4 more sources
A Game Theoretic Approach for Energy Sharing in the Italian Renewable Energy Communities
Applied Sciences, 2020 With the Clean Energy Package, the European Union introduced the concept of Renewable Energy Communities: groups of citizens, small and medium enterprises and local authorities that decide to join forces to equip themselves with systems to produce and ...
Matteo Moncecchi +2 more
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Efficient computation of the Shapley value for game-theoretic network centrality [PDF]
, 2013 The Shapley value—probably the most important normative payoff division scheme in coalitional games—has recently been advocated as a useful measure of centrality in networks.
Aaditha, K. V. +4 more
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Predicting generalized anxiety disorder among women using Shapley value
Journal of Infection and Public Health, 2021 Mental illness is a set of health problems that affect the way individuals perceive themselves, relate to others, and interact with the world around them.
Neesha Jothi +2 more
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