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Cooperative game theory studies how to allocate the joint value generated by a set of players. These games are typically analyzed using the characteristic function form with transferable utility, which represents the value attainable by…

Theoretical Economics · Economics 2025-12-18 Ata Atay , Christian Trudeau

The computation of a solution concept of a cooperative game usually employs values of all coalitions. However, in some applications, the values of some of the coalitions might be unknown due to high costs associated with their determination…

Computer Science and Game Theory · Computer Science 2023-03-31 Martin Cerny , Michel Grabisch

The latest developments in AI focus on agentic systems where artificial and human agents cooperate to realize global goals. An example is collaborative learning, which aims to train a global model based on data from individual agents. A…

Computer Science and Game Theory · Computer Science 2025-08-20 Björn Filter , Ralf Möller , Özgür Lütfü Özçep

This paper studies cooperative games where coalitions are formed online and the value generated by the grand coalition must be irrevocably distributed among the players at each timestep. We investigate the fundamental issue of strategic…

Computer Science and Game Theory · Computer Science 2025-02-28 Haris Aziz , Yuhang Guo , Zhaohong Sun

The research on coalitional games has focused on how to share the reward among a coalition such that players are incentivised to collaborate together. It assumes that the (deterministic or stochastic) characteristic function is known in…

Computer Science and Game Theory · Computer Science 2019-10-28 Dengji Zhao , Yiqing Huang , Liat Cohen , Tal Grinshpoun

In the usual models of cooperative game theory, the outcome of a coalition formation process is either the grand coalition or a coalition structure that consists of disjoint coalitions. However, in many domains where coalitions are…

Computer Science and Game Theory · Computer Science 2014-01-17 Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis , Maria Polukarov , Nicholas Robert Jennings

In this work, we examine a sequential setting of a cooperative game in which players arrive dynamically to form coalitions and complete tasks either together or individually, depending on the value created. Upon arrival, a new player as a…

Computer Science and Game Theory · Computer Science 2025-07-17 Yao Zhang , Indrajit Saha , Zhaohong Sun , Makoto Yokoo

The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

The aim of this paper is to investigate the interplay between knowledge shared by a group of agents and its coalition ability. We investigate this relation in the standard context of imperfect information concurrent game. We assume that…

Artificial Intelligence · Computer Science 2016-11-28 Guifei Jiang , Dongmo Zhang , Laurent Perrussel

In many multiagent scenarios, agents distribute resources, such as time or energy, among several tasks. Having completed their tasks and generated profits, task payoffs must be divided among the agents in some reasonable manner. Cooperative…

Computer Science and Game Theory · Computer Science 2014-07-16 Yair Zick , Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis

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

Incomplete cooperative games generalise the classical model of cooperative games by omitting the values of some of the coalitions. This allows to incorporate uncertainty into the model and study the underlying games as well as possible…

Computer Science and Game Theory · Computer Science 2025-10-07 Martin Černý , Jan Bok , David Hartman , Milan Hladík

Traditionally social sciences are interested in structuring people in multiple groups based on their individual preferences. This pa- per suggests an approach to this problem in the framework of a non- cooperative game theory. Definition of…

Optimization and Control · Mathematics 2017-05-02 Dmitry Levando

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

Machine Learning · Computer Science 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman

Research in cooperative games often assumes that agents know the coalitional values with certainty, and that they can belong to one coalition only. By contrast, this work assumes that the value of a coalition is based on an underlying…

Computer Science and Game Theory · Computer Science 2018-04-17 Michalis Mamakos , Georgios Chalkiadakis

The present study explores a problem that can be resolved by employing the notion of a partially defined cooperative game, yet cannot by using a restricted game. The following situation is considered: First, it is assumed that the worth of…

Computer Science and Game Theory · Computer Science 2025-11-27 Satoshi Masuya

We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over…

Computer Science and Game Theory · Computer Science 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

The matching game is a cooperative game where the value of every coalition is the maximum revenue of players in the coalition can make by forming pairwise disjoint partners. The multiple partners matching game generalizes the matching game…

Computer Science and Game Theory · Computer Science 2021-10-26 Han Xiao , Tianhang Lu , Qizhi Fang

The computation of a solution concept of a cooperative game usually depends on values of all coalitions. However, in some applications, values of some of the coalitions might be unknown due to various reasons. We introduce a method to…

Computer Science and Game Theory · Computer Science 2022-12-12 Martin Černý

In coalitional games, traditional coalitional game theory does not apply if different participants hold different opinions about the payoff function that corresponds to each subset of the coalition. In this paper, we propose a framework in…

Computer Science and Game Theory · Computer Science 2017-09-12 Bomin Jiang , Mardavij Roozbehani , Munther A. Dahleh
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