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The main stream of the literature in cooperative game theory considers games as being deterministic. In this survey, we review the main models incorporating uncertainty in cooperative games, starting from the seminal paper of Charnes and…

Computer Science and Game Theory · Computer Science 2026-03-03 Michel Grabisch , Silvia Lorenzini

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

Computer Science and Game Theory · Computer Science 2016-09-12 Tatsuya Iwase , Takahiro Shiga

We study fair allocation of profit (or cost) for three central problems from combinatorial optimization: Max-Flow, MST and $b$-matching. The essentially unequivocal choice of solution concept for this purpose would be the core, because of…

Computer Science and Game Theory · Computer Science 2025-02-12 Rohith R. Gangam , Naveen Garg , Parnian Shahkar , Vijay V. Vazirani

We consider how selfish agents are likely to share revenues derived from maintaining connectivity between important network servers. We model a network where a failure of one node may disrupt communication between other nodes as a…

Computer Science and Game Theory · Computer Science 2014-02-05 Yoram Bachrach , Ely Porat Porat , Jeffrey S. Rosenschein

Selective rationalization has become a common mechanism to ensure that predictive models reveal how they use any available features. The selection may be soft or hard, and identifies a subset of input features relevant for prediction. The…

Computation and Language · Computer Science 2019-12-17 Mo Yu , Shiyu Chang , Yang Zhang , Tommi S. Jaakkola

We present a general framework to model strategic aspects and stable and fair resource allocations in networks via variants and generalizations of path coalitional games. In these games, a coalition of edges or vertices is successful if it…

Computer Science and Game Theory · Computer Science 2011-04-28 Haris Aziz , Troels Bjerre Sørensen

We consider game-theoretically secure distributed protocols for coalition games that approximate the Shapley value with small multiplicative error. Since all known existing approximation algorithms for the Shapley value are randomized, it…

Computer Science and Game Theory · Computer Science 2024-12-30 T-H. Hubert Chan , Qipeng Kuang , Quan Xue

Explainable AI (XAI) is an important developing area but remains relatively understudied for clustering. We propose an explainable-by-design clustering approach that not only finds clusters but also exemplars to explain each cluster. The…

Artificial Intelligence · Computer Science 2022-09-21 Ian Davidson , Michael Livanos , Antoine Gourru , Peter Walker , Julien Velcin , S. S. Ravi

A central task of artificial intelligence is the design of artificial agents that act towards specified goals in partially observed environments. Since such environments frequently include interaction over time with other agents with their…

Computer Science and Game Theory · Computer Science 2012-05-14 Miroslav Dudik , Geoffrey Gordon

Game-theoretic centrality is a flexible and sophisticated approach to identify the most important nodes in a network. It builds upon the methods from cooperative game theory and network theory. The key idea is to treat nodes as players in a…

Artificial Intelligence · Computer Science 2018-01-03 Mateusz K. Tarkowski , Tomasz P. Michalak , Talal Rahwan , Michael Wooldridge

An extension to the classical notion of core is the notion of $k$-additive core, that is, the set of $k$-additive games which dominate a given game, where a $k$-additive game has its M\"obius transform (or Harsanyi dividends) vanishing for…

Computer Science and Game Theory · Computer Science 2011-02-08 Michel Grabisch , Tong li

The class of algorithmically computable simple games (i) includes the class of games that have finite carriers and (ii) is included in the class of games that have finite winning coalitions. This paper characterizes computable games,…

Computer Science and Game Theory · Computer Science 2011-11-09 Masahiro Kumabe , H. Reiju Mihara

We investigate the application of the Shapley value to quantifying the contribution of a tuple to a query answer. The Shapley value is a widely known numerical measure in cooperative game theory and in many applications of game theory for…

Databases · Computer Science 2023-06-22 Ester Livshits , Leopoldo Bertossi , Benny Kimelfeld , Moshe Sebag

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

In wireless packet-forwarding networks with selfish nodes, applications of a repeated game can induce the nodes to forward each others' packets, so that the network performance can be improved. However, the nodes on the boundary of such…

Information Theory · Computer Science 2007-07-13 Zhu Han , H. Vincent Poor

Rule-based systems must solve complex matching problems within tight time constraints to be effective in real-time applications, such as planning and reactive control for AI agents, as well as low-latency relational database querying.…

Artificial Intelligence · Computer Science 2025-11-19 Daniel Weitekamp

Recent advances in game informatics have enabled us to find strong strategies across a diverse range of games. However, these strategies are usually difficult for humans to interpret. On the other hand, research in Explainable Artificial…

Multiagent Systems · Computer Science 2024-03-13 Satoru Fujii

Scientific collaboration is a significant behavior in knowledge creation and idea exchange. To tackle large and complex research questions, a trend of team formation has been observed in recent decades. In this study, we focus on…

Social and Information Networks · Computer Science 2024-06-12 Shuo Yu , Fayez Alqahtani , Amr Tolba , Ivan Lee , Tao Jia , Feng Xia

Shapley value is originally a concept in econometrics to fairly distribute both gains and costs to players in a coalition game. In the recent decades, its application has been extended to other areas such as marketing, engineering and…

Machine Learning · Statistics 2023-09-19 Liuqing Yang , Yongdao Zhou , Haoda Fu , Min-Qian Liu , Wei Zheng

To address the safety and efficiency issues of vehicles at multi-lane merging zones, a cooperative decision-making framework is designed for connected automated vehicles (CAVs) using a coalitional game approach. Firstly, a motion prediction…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Peng Hang , Chen Lv , Chao Huang , Yang Xing , Zhongxu Hu