Tensor approximation of cooperative games and their semivalues

DOI10.1016/j.ijar.2021.11.007OpenAlexW4200370637MaRDI QIDQ2076973

Rafael Ballester-Ripoll

Publication date: 22 February 2022

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2021.11.007

zbMATH Keywords

cooperative game theorysemivaluestensor approximationallocation rulescomputational game theorytensor train decomposition

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (1)

Black Box Approximation in the Tensor Train Format Initialized by ANOVA Decomposition

Uses Software

• CoopGame

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• Voting power in the EU council of ministers and fair decision making in distributive politics
• Formulating an \(n\)-person noncooperative game as a tensor complementarity problem
• Generating functions for coalitional power indices: an application to the IMF
• Polynomial calculation of the Shapley value based on sampling
• Partnership formation and binomial semivalues
• Game theoretic analysis of a bankruptcy problem from the Talmud
• Auctioning Böhm-Bawerk's horses
• On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule
• Sampling methods to estimate the Banzhaf-Owen value
• Quasioptimality of maximum-volume cross interpolation of tensors
• Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions
• Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
• A Simple Expression for the Shapley Value in a Special Case
• Tensor Decomposition of Cooperative Games
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• Tensor Decomposition for Signal Processing and Machine Learning
• Tensor Algorithms for Advanced Sensitivity Metrics
• Efficient Computation of the Shapley Value for Game-Theoretic Network Centrality
• Multilinear Extensions of Games

This page was built for publication: Tensor approximation of cooperative games and their semivalues