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Consider a setting where selfish agents are to be assigned to coalitions or projects from a fixed set P. Each project k is characterized by a valuation function; v_k(S) is the value generated by a set S of agents working on project k. We…

计算机科学与博弈论 · 计算机科学 2015-08-28 Elliot Anshelevich , Shreyas Sekar

Due to the lack of coordination, it is unlikely that the selfish players of a strategic game reach a socially good state. A possible way to cope with selfishness is to compute a desired outcome (if it is tractable) and impose it. However…

计算机科学与博弈论 · 计算机科学 2010-12-20 Bruno Escoffier , Laurent Gourvès , Jérôme Monnot

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

统计方法学 · 统计学 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

In many situations when people are assigned to coalitions, the utility of each person depends on the friends in her coalition. Additionally, in many situations, the size of each coalition should be bounded. This paper studies such coalition…

计算机科学与博弈论 · 计算机科学 2024-02-14 Chaya Levinger , Noam Hazon , Sofia Simola , Amos Azaria

The arboricity of a graph is the minimum number of forests required to cover all its edges. In this paper, we examine arboricity from a game-theoretic perspective and investigate cost-sharing in the minimum forest cover problem. We…

计算机科学与博弈论 · 计算机科学 2022-02-01 Han Xiao , Qizhi Fang

We study the formation of stable outcomes via simple dynamics in cardinal hedonic games, where the utilities of agents change over time depending on the history of the coalition formation process. Specifically, we analyze situations where…

计算机科学与博弈论 · 计算机科学 2022-12-01 Niclas Boehmer , Martin Bullinger , Anna Maria Kerkmann

Stable gonality is a multigraph parameter that measures the complexity of a graph. It is defined using maps to trees. Those maps, in some sense, divide the edges equally over the edges of the tree; stable gonality asks for the map with the…

离散数学 · 计算机科学 2023-06-22 Ragnar Groot Koerkamp , Marieke van der Wegen

Strategic interactions can be represented more concisely, and analyzed and solved more efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also have conceptual implications, for example for equilibrium…

计算机科学与博弈论 · 计算机科学 2025-03-03 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Tuomas Sandholm , Vincent Conitzer

We study finite-player dynamic stochastic games with heterogeneous interactions and non-Markovian linear-quadratic objective functionals. We derive the Nash equilibrium explicitly by converting the first-order conditions into a coupled…

最优化与控制 · 数学 2024-11-12 Eyal Neuman , Sturmius Tuschmann

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

计算机科学与博弈论 · 计算机科学 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

We introduce a measure for the level of stability against coalitional deviations, called \emph{stability scores}, which generalizes widely used notions of stability in non-cooperative games. We use the proposed measure to compare various…

计算机科学与博弈论 · 计算机科学 2012-02-10 Michal Feldman , Reshef Meir , Moshe Tennenholtz

The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

计算机科学与博弈论 · 计算机科学 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

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…

计算机科学与博弈论 · 计算机科学 2023-11-29 Aya Hamed , Jeff S. Shamma

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…

计算机科学与博弈论 · 计算机科学 2021-10-26 Han Xiao , Tianhang Lu , Qizhi Fang

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

We address the problem of assessing the robustness of the equilibria in uncertain, multi-agent games. Specifically, we focus on generalized Nash equilibrium problems in aggregative form subject to linear coupling constraints affected by…

最优化与控制 · 数学 2020-05-20 Filippo Fabiani , Kostas Margellos , Paul J. Goulart

This paper studies the stochastic setting in cooperative games and suggests a solution concept based on second order stochastic dominance (SSD), which is often applied to robustly model risk averse behaviour of players in different economic…

理论经济学 · 经济学 2024-10-28 David Ryzák , Martin Černý

Autonomous wireless agents such as unmanned aerial vehicles or mobile base stations present a great potential for deployment in next-generation wireless networks. While current literature has been mainly focused on the use of agents within…

信息论 · 计算机科学 2016-11-17 Walid Saad , Zhu Han , Tamer Basar , Merouane Debbah , Are Hjørungnes

Multi-defender Stackelberg Security Games (MSSG) have recently gained increasing attention in the literature. However, the solutions offered to date are highly sensitive, wherein even small perturbations in the attacker's utility or slight…

计算机科学与博弈论 · 计算机科学 2024-12-17 Dolev Mutzari , Yonatan Aumann , Sarit Kraus

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

系统与控制 · 电气工程与系统科学 2021-12-17 Zhenhua Deng , Jin Luo