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Large Language Models (LLMs) have shown remarkable reasoning capabilities in mathematical and scientific tasks. To enhance complex reasoning, multi-agent systems have been proposed to harness the collective intelligence of LLM agents.…

Artificial Intelligence · Computer Science 2025-10-22 Zhenyu Bi , Meng Lu , Yang Li , Swastik Roy , Weijie Guan , Morteza Ziyadi , Xuan Wang

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

Optimization and Control · Mathematics 2012-10-10 Minghui Zhu , Sonia Martinez

We formulate computation offloading as a decentralized decision-making problem with autonomous agents. We design an interaction mechanism that incentivizes agents to align private and system goals by balancing between competition and…

Multiagent Systems · Computer Science 2022-06-22 Jing Tan , Ramin Khalili , Holger Karl , Artur Hecker

Bandits with preference feedback present a powerful tool for optimizing unknown target functions when only pairwise comparisons are allowed instead of direct value queries. This model allows for incorporating human feedback into online…

Machine Learning · Computer Science 2025-12-19 Barna Pásztor , Parnian Kassraie , Andreas Krause

In this paper, we consider a sequential stochastic Stackelberg game with two players, a leader and a follower. The follower has access to the state of the system while the leader does not. Assuming that the players act in their respective…

Optimization and Control · Mathematics 2021-02-08 Rajesh K Mishra , Deepanshu Vasal , Sriram Vishwanath

In this paper a consensus has been constructed in a social network which is modeled by a stochastic differential game played by agents of that network. Each agent independently minimizes a cost function which represents their motives. A…

Statistics Theory · Mathematics 2021-07-13 Paramahansa Pramanik

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

Computer Science and Game Theory · Computer Science 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

Batch reinforcement learning (RL) defines the task of learning from a fixed batch of data lacking exhaustive exploration. Worst-case optimality algorithms, which calibrate a value-function model class from logged experience and perform some…

Machine Learning · Statistics 2023-10-03 Wenzhuo Zhou , Annie Qu

In this paper, we address two practical challenges of distributed learning in multi-agent network systems, namely personalization and resilience. Personalization is the need of heterogeneous agents to learn local models tailored to their…

Multiagent Systems · Computer Science 2026-01-01 Luca Ballotta , Nicola Bastianello , Riccardo M. G. Ferrari , Karl H. Johansson

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

In the case of the two-person zero-sum stochastic game with a central controller, this paper proposes a best collaborative behavior search and selection algorithm based on reinforcement learning, in response to how to choose the best…

Robotics · Computer Science 2019-10-01 Yunkai Wang , Shenhan Jia , Zexi Chen , Zheyuan Huang , Rong Xiong

We propose a new variant of the strategic classification problem: a principal reveals a classifier, and $n$ agents report their (possibly manipulated) features to be classified. Motivated by real-world applications, our model crucially…

Computer Science and Game Theory · Computer Science 2025-02-28 Safwan Hossain , Evi Micha , Yiling Chen , Ariel Procaccia

Routing games are used to to understand the impact of individual users' decisions on network efficiency. Most prior work on routing games uses a simplified model of network flow where all flow exists simultaneously, and users care about…

Computer Science and Game Theory · Computer Science 2015-03-17 Umang Bhaskar , Lisa Fleischer , Elliot Anshelevich

We consider the multi-agent reinforcement learning setting with imperfect information in which each agent is trying to maximize its own utility. The reward function depends on the hidden state (or goal) of both agents, so the agents must…

Artificial Intelligence · Computer Science 2018-03-28 Roberta Raileanu , Emily Denton , Arthur Szlam , Rob Fergus

Network games study the strategic interaction of agents connected through a network. Interventions in such a game -- actions a coordinator or planner may take that change the utility of the agents and thus shift the equilibrium action…

Computer Science and Game Theory · Computer Science 2021-09-21 Kun Jin , Mingyan Liu

Min-max optimization problems (i.e., min-max games) have attracted a great deal of attention recently as their applicability to a wide range of machine learning problems has become evident. In this paper, we study min-max games with…

Computer Science and Game Theory · Computer Science 2022-08-23 Denizalp Goktas , Amy Greenwald

This paper studies a stochastic dynamic game between two competing teams, each consisting of a network of collaborating agents. Unlike fully cooperative settings, where all agents share a common objective, each team in this game aims to…

Multiagent Systems · Computer Science 2025-04-29 Yike Zhao , Haoyuan Cai , Ali H. Sayed

We propose a new model of minority game with so-called smart agents such that the standard deviation and the total loss in this model reach the theoretical minimum values in the limit of long time. The smart agents use trail and error…

Statistical Mechanics · Physics 2008-12-02 Yan-Bo Xie , Bing-Hong Wang , Chin-Kun Hu , Tao Zhou

We introduce the framework of LLM-Stackelberg games, a class of sequential decision-making models that integrate large language models (LLMs) into strategic interactions between a leader and a follower. Departing from classical Stackelberg…

Artificial Intelligence · Computer Science 2025-07-15 Quanyan Zhu

This paper aims to investigate the impact of interference in social network algorithms via user-bot interactions, focusing on the Stochastic Bounded Confidence Model (SBCM). This paper explores two approaches: positioning bots controlled by…

Social and Information Networks · Computer Science 2024-09-19 Farbod Siahkali , Saba Samadi , Hamed Kebriaei