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This study introduces the \emph{edge-based Shapley value}, a novel allocation rule within cooperative game theory, specifically tailored for networked systems, where value is generated through interactions represented by edges. Traditional…

Computer Science and Game Theory · Computer Science 2025-07-17 Taiki Yamada , Taisuke Matsubae , Tomoya Akamatsu

Big Boss Games represent a specific class of cooperative games where a single veto player, known as the Big Boss, plays a central role in determining resource allocation and maintaining coalition stability. In this paper, we introduce a…

Computer Science and Game Theory · Computer Science 2025-03-26 Luis A. Guardiola , Ana Meca

Quantifying the importance of each training point to a learning task is a fundamental problem in machine learning and the estimated importance scores have been leveraged to guide a range of data workflows such as data summarization and…

Machine Learning · Computer Science 2021-04-27 Ruoxi Jia , Fan Wu , Xuehui Sun , Jiacen Xu , David Dao , Bhavya Kailkhura , Ce Zhang , Bo Li , Dawn Song

Shapley Values, a solution to the credit assignment problem in cooperative game theory, are a popular type of explanation in machine learning, having been used to explain the importance of features, embeddings, and even neurons. In NLP,…

Computation and Language · Computer Science 2021-06-01 Kawin Ethayarajh , Dan Jurafsky

Explainable artificial intelligence promises to yield insights into relevant features, thereby enabling humans to examine and scrutinize machine learning models or even facilitating scientific discovery. Considering the widespread technique…

Machine Learning · Computer Science 2026-03-30 Jörg Martin , Stefan Haufe

Designing fair compensation mechanisms for demand response (DR) is challenging. This paper models the problem in a game theoretic setting and designs a payment distribution mechanism based on the Shapley Value. As exact computation of the…

Computer Science and Game Theory · Computer Science 2014-03-27 Gearóid O'Brien , Abbas El Gamal , Ram Rajagopal

It is evident that, currently, generative models are surpassed in quality by human professionals. However, with the advancements in Artificial Intelligence, this gap will narrow, leading to scenarios where individuals who have dedicated…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Alex Glinsky , Alexey Sokolsky

Data Shapley has recently been proposed as a principled framework to quantify the contribution of individual datum in machine learning. It can effectively identify helpful or harmful data points for a learning algorithm. In this paper, we…

Machine Learning · Computer Science 2022-01-20 Yongchan Kwon , James Zou

When using machine learning techniques in decision-making processes, the interpretability of the models is important. In the present paper, we adopted the Shapley additive explanation (SHAP), which is based on fair profit allocation among…

Machine Learning · Computer Science 2022-03-03 Yasunobu Nohara , Koutarou Matsumoto , Hidehisa Soejima , Naoki Nakashima

We propose a novel definition of Shapley values with uncertain value functions based on first principles using probability theory. Such uncertain value functions can arise in the context of explainable machine learning as a result of…

Machine Learning · Computer Science 2023-04-03 Raoul Heese , Sascha Mücke , Matthias Jakobs , Thore Gerlach , Nico Piatkowski

We consider the problem of payoff division in indivisible coalitional games, where the value of the grand coalition is a natural number. This number represents a certain quantity of indivisible objects, such as parliamentary seats, kidney…

Computer Science and Game Theory · Computer Science 2026-04-02 Mikołaj Czarnecki , Michał Korniak , Oskar Skibski , Piotr Skowron

Cooperative game theory has diverse applications in contemporary artificial intelligence, including domains like interpretable machine learning, resource allocation, and collaborative decision-making. However, specifying a cooperative game…

Computer Science and Game Theory · Computer Science 2024-12-05 Filip Úradník , David Sychrovský , Jakub Černý , Martin Černý

The most popular methods for measuring importance of the variables in a black box prediction algorithm make use of synthetic inputs that combine predictor variables from multiple subjects. These inputs can be unlikely, physically…

Machine Learning · Computer Science 2023-04-14 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

The Shapley value (SV) has emerged as a promising method for data valuation. However, computing or estimating the SV is often computationally expensive. To overcome this challenge, Jia et al. (2019) propose an advanced SV estimation…

Machine Learning · Statistics 2023-02-23 Jiachen T. Wang , Ruoxi Jia

SHAP (SHapley Additive exPlanations) has become a popular method to attribute the prediction of a machine learning model on an input to its features. One main challenge of SHAP is the computation time. An exact computation of Shapley values…

Machine Learning · Statistics 2023-09-06 Linwei Hu , Ke Wang

Large language models (LLMs) excel on new tasks without additional training, simply by providing natural language prompts that demonstrate how the task should be performed. Prompt ensemble methods comprehensively harness the knowledge of…

Computation and Language · Computer Science 2024-12-17 Hanxi Liu , Xiaokai Mao , Haocheng Xia , Jian Lou , Jinfei Liu , Kui Ren

This paper generalizes L.S. Shapley's celebrated value allocation theory on coalition games by discovering and applying a fundamental connection between stochastic path integration driven by canonical time-reversible Markov chains and…

Probability · Mathematics 2022-01-04 Tongseok Lim

This paper introduces the shapr R package, a versatile tool for generating Shapley value-based prediction explanations for machine learning and statistical regression models. Moreover, the shaprpy Python library brings the core capabilities…

Machine Learning · Computer Science 2026-02-03 Martin Jullum , Lars Henry Berge Olsen , Jon Lachmann , Annabelle Redelmeier

In user-agent interaction scenarios such as recommendation, brainstorming, and code suggestion, Large Language Models (LLMs) often generate sets of candidate recommendations where the objective is to maximize the collective utility of the…

Artificial Intelligence · Computer Science 2026-04-01 Rui Ai , Yu Pan , David Simchi-Levi , Chonghuan Wang

Myerson first introduced graph-restricted games in order to model the interaction of cooperative players with an underlying communication network. A dedicated solution concept -- the Myerson value -- is perhaps the most important normative…

Social and Information Networks · Computer Science 2020-01-03 Mateusz K. Tarkowski , Szymon Matejczyk , Tomasz P. Michalak , Michael Wooldridge