Algorithms for computing the Shapley value of cooperative games on lattices (original) (raw)

A new approach to the Shapley value for games on lattices

Fabien Lange

Game Theory and Social Choice …, 2005

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Games on lattices, multichoice games and the Shapley value: a new approach

Fabien Lange

Mathematical Methods of Operations Research, 2007

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Structural Tractability of Shapley and Banzhaf Values in Allocation Games

Carlo Mancino

2015

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Efficiently computing the Shapley value of connectivity games in low-treewidth graphs

Hans Bodlaender

Operational Research

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Axiomatizations of two types of Shapley values for games on union closed systems

Ilya Katsev

Economic Theory, 2011

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On the Complexity of Computing Values of Restricted Games

Nicholas Lester Tran

International Journal of Foundations of Computer Science, 2002

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Axiomatizations of the Shapley value for games on augmenting systems

Manuel Ordoñez

European Journal of Operational Research, 2009

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Computational aspects of extending the Shapley Value to coalitional games with externalities

Dorota Marciniak

2010

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The Shapley value for bicooperative games

Julio R. Fernandez Garcia

Annals of Operations Research, 2007

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Games on concept lattices: Shapley value and core

Ulrich Faigle

Discrete Applied Mathematics, 2016

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The Shapley value for capacities and games on set systems

Fabien Lange

2006

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Axiomatizations of the Shapley value for cooperative games on antimatroids

Andrés Jiménez Losada

Mathematical Methods of Operations Research (ZOR), 2003

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Compensations in the Shapley value and the compensation solutions for graph games

Eric Rémila, Sylvain BEAL

International Journal of Game Theory, 2012

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On the complexity of compact coalitional games

F. Scarcello

2009

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A new Shapley value for games with fuzzy coalitions

Andrés Jiménez Losada

Fuzzy Sets and Systems, 2019

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A randomized method for the Shapley value for the voting game

Shaheen Fatima

2007

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On the complexity of core, kernel, and bargaining set

F. Scarcello

Artificial Intelligence, 2011

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Computational Aspects of Cooperative Game Theory

Georgios Chalkiadakis

Synthesis Lectures on Artificial Intelligence and Machine Learning, 2011

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Games on distributive lattices and the Shapley interaction transform

Fabien Lange

Proceedings of IPMU

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THE SHAPLEY-SOLIDARITY VALUE FOR GAMES WITH A COALITION STRUCTURE

Emilio Calvo

International Game Theory Review, 2013

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Axiomatisation of the Shapley value and power index for bi-cooperative games

Christophe Labreuche

2006

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An analysis of the shapley value and its uncertainty for the voting game

Michael Wooldridge, Shaheen Fatima

2006

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Analyzing cooperative game theory solutions: core and Shapley value in cartesian product of two sets

Mohammed El Kamli

Frontiers in applied mathematics and statistics, 2024

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Partially ordered cooperative games: extended core and Shapley value

Yolanda Hinojosa

Annals of Operations Research, 2008

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An algorithm for computing the nucleolus of disjunctive additive games with an acyclic permission

Ilya Katsev

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The Complexity of the Nucleolus in Compact Games

Luigi Palopoli

ACM Transactions on Computation Theory, 2015

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Values for two-stage games: Another view of the Shapley axioms

Itzhak Gilboa

International Journal of Game Theory, 1990

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On the computational complexity of qualitative coalitional games

Michael Wooldridge

Artificial Intelligence, 2004

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Complexity in Cooperative Game Theory

Julio R. Fernandez Garcia

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Interaction indices for games on combinatorial structures with forbidden coalitions

Christophe Labreuche

European Journal of Operational Research, 2011

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