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Weighted voting games are frequently used in decision making. Each voter has a weight and a proposal is accepted if the weight sum of the supporting voters exceeds a quota. One line of research is the efficient computation of so-called…

Optimization and Control · Mathematics 2012-11-28 Sascha Kurz

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…

Computer Science and Game Theory · Computer Science 2013-07-02 Haris Aziz , Bart de Keijzer

Predictive Business Process Monitoring is becoming an essential aid for organizations, providing online operational support of their processes. This paper tackles the fundamental problem of equipping predictive business process monitoring…

Machine Learning · Computer Science 2020-09-18 Riccardo Galanti , Bernat Coma-Puig , Massimiliano de Leoni , Josep Carmona , Nicolò Navarin

Shapley values, a game theoretic concept, has been one of the most popular tools for explaining Machine Learning (ML) models in recent years. Unfortunately, the two most common approaches, conditional and marginal, to calculating Shapley…

Computer Science and Game Theory · Computer Science 2024-09-11 Ilya Rozenfeld

Cooperative interval game is a cooperative game in which every coalition gets assigned some closed real interval. This models uncertainty about how much the members of a coalition get for cooperating together. In this paper we study…

Computer Science and Game Theory · Computer Science 2018-11-12 Jan Bok

The Banzhaf power index was introduced in cooperative game theory to measure the real power of players in a game. The Banzhaf interaction index was then proposed to measure the interaction degree inside coalitions of players. It was shown…

Optimization and Control · Mathematics 2011-02-15 Jean-Luc Marichal , Pierre Mathonet

The Banzhaf index, Shapley-Shubik index and other voting power indices measure the importance of a player in a coalitional game. We consider a simple coalitional game called the spanning connectivity game (SCG) based on an undirected,…

Computer Science and Game Theory · Computer Science 2009-06-22 Haris Aziz , Oded Lachish , Mike Paterson , Rahul Savani

Probability forecasts for binary events play a central role in many applications. Their quality is commonly assessed with proper scoring rules, which assign forecasts a numerical score such that a correct forecast achieves a minimal…

Methodology · Statistics 2022-07-04 Alexander Henzi , Johanna F. Ziegel

Feature attribution methods have become essential for explaining machine learning models. Many popular approaches, such as SHAP and Banzhaf values, are grounded in power indices from cooperative game theory, which measure the contribution…

Machine Learning · Computer Science 2025-01-07 P. Barceló , R. Cominetti , M. Morgado

Cooperative game theory methods, notably Shapley values, have significantly enhanced machine learning (ML) interpretability. However, existing explainable AI (XAI) frameworks mainly attribute average model predictions, overlooking…

Artificial Intelligence · Computer Science 2025-05-20 Marouane Il Idrissi , Agathe Fernandes Machado , Ewen Gallic , Arthur Charpentier

In decision problems under incomplete information, actions (identified to payoff vectors indexed by states of nature) and beliefs are naturally paired by bilinear duality. We exploit this duality to analyze the value of information, using…

Optimization and Control · Mathematics 2019-11-21 Michel de Lara , Olivier Gossner

Predictive Process Analytics is becoming an essential aid for organizations, providing online operational support of their processes. However, process stakeholders need to be provided with an explanation of the reasons why a given process…

In this dissertation, we analyze the computational properties of game-theoretic centrality measures. The key idea behind game-theoretic approach to network analysis is to treat nodes as players in a cooperative game, where the value of each…

Computer Science and Game Theory · Computer Science 2015-12-08 Piotr Lech Szczepański

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

Estimation of football players' skills is one of the key tasks in sports analytics. This paper introduces multiple extensions to a widely used model, expected possession value (EPV), to address some key challenges such as selection problem.…

Machine Learning · Computer Science 2024-06-04 Andrei Shelopugin

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

Within the domain of game theory, power indexes are defined as functions that quantify the influence of individual participants in collective decision-making processes. Felsenthal [D. Felsenthal. A Well-Behaved Index of a Priori P-Power for…

Theoretical Economics · Economics 2025-07-03 Alicia Mascareñas-Pazos , Silvia Lorenzo-Freire , Jose Maria Alonso-Meijide

Lloyd Shapley's cooperative value allocation theory stands as a central concept in game theory, extensively utilized across various domains to distribute resources, evaluate individual contributions, and ensure fairness. The Shapley value…

Probability · Mathematics 2024-08-23 Tongseok Lim

This paper studies a game in which an informed sender with state-independent preferences uses verifiable messages to convince a receiver to choose an action from a finite set. We characterize the equilibrium outcomes of the game and compare…

Theoretical Economics · Economics 2025-10-10 Maria Titova , Kun Zhang

In an attempt to provide an answer to the increasing criticism against p-values and to bridge the gap between statistical inference and prediction modelling, we introduce the probability of improved prediction (PIP). In general, the PIP is…

Methodology · Statistics 2024-05-28 Olivier Thas , Stijn Jaspers