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In this paper, we consider a discrete-time stochastic Stackelberg game with a single leader and multiple followers. Both the followers and the leader together have conditionally independent private types, conditioned on action and previous…

Optimization and Control · Mathematics 2022-09-21 Deepanshu Vasal

As assembly tasks grow in complexity, collaboration among multiple robots becomes essential for task completion. However, centralized task planning has become inadequate for adapting to the increasing intelligence and versatility of robots,…

Robotics · Computer Science 2024-04-22 Yuhan Zhao , Lan Shi , Quanyan Zhu

In multi-agent reinforcement learning (MARL), independent learners are those that do not observe the actions of other agents in the system. Due to the decentralization of information, it is challenging to design independent learners that…

Computer Science and Game Theory · Computer Science 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

In multi-agent reinforcement learning (MARL), self-interested agents attempt to establish equilibrium and achieve coordination depending on game structure. However, existing MARL approaches are mostly bound by the simultaneous actions of…

Multiagent Systems · Computer Science 2023-12-12 Bin Zhang , Lijuan Li , Zhiwei Xu , Dapeng Li , Guoliang Fan

Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately, only stylized Stackelberg games are explicitly solvable…

Optimization and Control · Mathematics 2024-11-15 Guillermo Alvarez , Ibrahim Ekren , Anastasis Kratsios , Xuwei Yang

Information uncertainty is one of the major challenges facing applications of game theory. In the context of Stackelberg games, various approaches have been proposed to deal with the leader's incomplete knowledge about the follower's…

Computer Science and Game Theory · Computer Science 2019-05-21 Jiarui Gan , Haifeng Xu , Qingyu Guo , Long Tran-Thanh , Zinovi Rabinovich , Michael Wooldridge

Automated decision-making tools increasingly assess individuals to determine if they qualify for high-stakes opportunities. A recent line of research investigates how strategic agents may respond to such scoring tools to receive favorable…

Machine Learning · Computer Science 2021-10-28 Keegan Harris , Hoda Heidari , Zhiwei Steven Wu

In this study, we explore the application of game theory, in particular Stackelberg games, to address the issue of effective coordination strategy generation for heterogeneous robots with one-way communication. To that end, focusing on the…

Robotics · Computer Science 2023-08-01 Yuhan Zhao , Baichuan Huang , Jingjin Yu , Quanyan Zhu

In this paper, we introduce a generalization of the standard Stackelberg Games (SGs) framework: Calibrated Stackelberg Games (CSGs). In CSGs, a principal repeatedly interacts with an agent who (contrary to standard SGs) does not have direct…

Computer Science and Game Theory · Computer Science 2023-06-07 Nika Haghtalab , Chara Podimata , Kunhe Yang

Due to the large size of the training data, distributed learning approaches such as federated learning have gained attention recently. However, the convergence rate of distributed learning suffers from heterogeneous worker performance. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-09 Yunus Sarikaya , Ozgur Ercetin

This paper investigates a robust incentive Stackelberg stochastic differential game problem for a linear-quadratic mean field system, where the model uncertainty appears in the drift term of the leader's state equation. Moreover, both the…

Optimization and Control · Mathematics 2026-03-31 Na Xiang , Jingtao Shi

This paper aims to balance performance and cost in a two-hop wireless cooperative communication network where the source and relays have contradictory optimization goals and make decisions in a distributed manner. This differs from most…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Yuanzhe Geng , Erwu Liu , Wei Ni , Rui Wang , Yan Liu , Hao Xu , Chen Cai , Abbas Jamalipour

Coordination is one of the essential problems in multi-agent systems. Typically multi-agent reinforcement learning (MARL) methods treat agents equally and the goal is to solve the Markov game to an arbitrary Nash equilibrium (NE) when…

Multiagent Systems · Computer Science 2020-04-07 Haifeng Zhang , Weizhe Chen , Zeren Huang , Minne Li , Yaodong Yang , Weinan Zhang , Jun Wang

In this work, we develop a reinforcement learning protocol for a multiagent coordination task in a discrete state and action space: an iterated prisoner's dilemma game extended into a team based, winner-take all tournament, which forces the…

Computer Science and Game Theory · Computer Science 2018-06-18 Aaron Goodman

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

Computer Science and Game Theory · Computer Science 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

The behaviour of multi-agent learning in many player games has been shown to display complex dynamics outside of restrictive examples such as network zero-sum games. In addition, it has been shown that convergent behaviour is less likely to…

Computer Science and Game Theory · Computer Science 2023-07-27 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

We study multi-agent reinforcement learning (MARL) in infinite-horizon discounted zero-sum Markov games. We focus on the practical but challenging setting of decentralized MARL, where agents make decisions without coordination by a…

Computer Science and Game Theory · Computer Science 2021-12-14 Muhammed O. Sayin , Kaiqing Zhang , David S. Leslie , Tamer Basar , Asuman Ozdaglar

In the literature on game-theoretic equilibrium finding, focus has mainly been on solving a single game in isolation. In practice, however, strategic interactions -- ranging from routing problems to online advertising auctions -- evolve…

Computer Science and Game Theory · Computer Science 2023-03-02 Keegan Harris , Ioannis Anagnostides , Gabriele Farina , Mikhail Khodak , Zhiwei Steven Wu , Tuomas Sandholm

Self-interested individuals often fail to cooperate, posing a fundamental challenge for multi-agent learning. How can we achieve cooperation among self-interested, independent learning agents? Promising recent work has shown that in certain…

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko