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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

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

In the framework of transferable utility coalitional games, a scoring (characteristic) function determines the value of any subset/coalition of agents. Agents decide on both which coalitions to form and the allocations of the values of the…

Computer Science and Game Theory · Computer Science 2023-11-29 Aya Hamed , Jeff S. Shamma

Despite many distributed resource allocation (DRA) algorithms have been reported in literature, it is still unknown how to allocate the resource optimally over multiple interacting coalitions. One major challenge in solving such a problem…

Optimization and Control · Mathematics 2025-09-24 Jialing Zhou , Guanghui Wen , Yuezu Lv , Tao Yang , Guanrong Chen

This work focuses on the credit assignment problem in cooperative multi-agent reinforcement learning (MARL). Sharing the global advantage among agents often leads to insufficient policy optimization, as it fails to capture the coalitional…

Multiagent Systems · Computer Science 2026-03-11 Mengda Ji , Genjiu Xu , Keke Jia , Zekun Duan , Yong Qiu , Jianjun Ge , Mingqiang Li

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

Computer Science and Game Theory · Computer Science 2020-12-18 Kate Donahue , Jon Kleinberg

Cores of cooperative games are ubiquitous in information theory, and arise most frequently in the characterization of fundamental limits in various scenarios involving multiple users. Examples include classical settings in network…

Information Theory · Computer Science 2009-01-05 Mokshay Madiman

Cooperative games model the allocation of profit from joint actions, following considerations such as stability and fairness. We propose the reliability extension of such games, where agents may fail to participate in the game. In the…

Computer Science and Game Theory · Computer Science 2012-02-20 Yoram Bachrach , Reshef Meir , Michal Feldman , Moshe Tennenholtz

Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where…

Computer Science and Game Theory · Computer Science 2024-11-01 Nam Phuong Tran , The Anh Ta , Shuqing Shi , Debmalya Mandal , Yali Du , Long Tran-Thanh

Cooperation is fundamental for society's viability, as it enables the emergence of structure within heterogeneous groups that seek collective well-being. However, individuals are inclined to defect in order to benefit from the group's…

Multiagent Systems · Computer Science 2026-02-10 Yao-hua Franck Xu , Tayeb Lemlouma , Arnaud Braud , Jean-Marie Bonnin

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

Computer Science and Game Theory · Computer Science 2024-10-10 Riya Sultana , Veeraruna Kavitha

This paper introduces the class of cooperative games with generalized coalition configuration. This new class of games corresponds to cooperative games with coalition configuration and restricted cooperation. A coalition configuration is a…

Theoretical Economics · Economics 2024-11-22 Encarnacion Algaba , Eric Remila , Philippe Solal

We consider the problem of collaborative inference in a sensor network with heterogeneous and statistically dependent sensor observations. Each sensor aims to maximize its inference performance by forming a coalition with other sensors and…

Information Theory · Computer Science 2016-04-20 Hao He , Pramod K. Varshney

We explore a broad class of values for cooperative games in characteristic function form, known as \emph{compromise values\/}. These values efficiently allocate payoffs by linearly combining well-specified upper and lower bounds on payoffs.…

Theoretical Economics · Economics 2025-10-15 Robert P. Gilles , René van den Brink

In simple games, larger coalitions typically wield more power, but do all players align their efforts effectively? Consider a voting scenario where a coalition forms, but needs more voters to pass a bill. The cohesion of the new group of…

Computer Science and Game Theory · Computer Science 2025-04-08 Michele Aleandri , Marco Dall'Aglio

We deal with coalitional games possessing strictly positive values. Individually rational allocations of such a game has clear fractional interpretations. Many concepts, including the long-existing core and other stability notions more…

Theoretical Economics · Economics 2023-04-24 Jian Yang

Self-play is a common paradigm for constructing solutions in Markov games that can yield optimal policies in collaborative settings. However, these policies often adopt highly-specialized conventions that make playing with a novel partner…

Artificial Intelligence · Computer Science 2022-06-28 Darius Muglich , Luisa Zintgraf , Christian Schroeder de Witt , Shimon Whiteson , Jakob Foerster

Game theoretical techniques have recently become prevalent in many engineering applications, notably in communications. With the emergence of cooperation as a new communication paradigm, and the need for self-organizing, decentralized, and…

Information Theory · Computer Science 2015-05-13 Walid Saad , Zhu Han , Merouane Debbah , Are Hjørungnes , Tamer Basar

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

Cooperative games can be distinguished as non-cooperative games in which players can freely sign binding agreements to form coalitions. These coalitions inherit a joint strategy set and seek to maximize collective payoffs. When the payoffs…

Theoretical Economics · Economics 2024-04-16 Justin Chan