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In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

In reinforcement learning (RL), aligning agent behavior with specific objectives typically requires careful design of the reward function, which can be challenging when the desired objectives are complex. In this work, we propose an…

Machine Learning · Computer Science 2025-09-05 Yuting Tang , Yivan Zhang , Johannes Ackermann , Yu-Jie Zhang , Soichiro Nishimori , Masashi Sugiyama

We analyze inertial coordination games: dynamic coordination games with an endogenously changing state that depends on (i) a persistent fundamental players privately learn about over time; and (ii) past play. The speed of learning…

Theoretical Economics · Economics 2025-08-14 Andrew Koh , Ricky Li , Kei Uzui

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

Computer Science and Game Theory · Computer Science 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

There has recently been an explosion of interest in how "higher-order" structures emerge in complex systems. This "emergent" organization has been found in a variety of natural and artificial systems, although at present the field lacks a…

Information Theory · Computer Science 2024-01-30 Thomas F. Varley , Joshua Bongard

Most of the literature on learning in games has focused on the restrictive setting where the underlying repeated game does not change over time. Much less is known about the convergence of no-regret learning algorithms in dynamic multiagent…

Machine Learning · Computer Science 2023-10-19 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

We examine the long-run behavior of multi-agent online learning in games that evolve over time. Specifically, we focus on a wide class of policies based on mirror descent, and we show that the induced sequence of play (a) converges to Nash…

Computer Science and Game Theory · Computer Science 2022-08-11 Benoit Duvocelle , Panayotis Mertikopoulos , Mathias Staudigl , Dries Vermeulen

This paper explores aggregative games in a network of general linear systems subject to external disturbances. To deal with external disturbances, distributed strategy-updating rules based on internal model are proposed for the case with…

Optimization and Control · Mathematics 2024-10-28 Xin Cai , Feng Xiao , Bo Wei , Mei Yu , Fang Fang

We initiate the study of game dynamics in the population protocol model: $n$ agents each maintain a current local strategy and interact in pairs uniformly at random. Upon each interaction, the agents play a two-person game and receive a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Dan Alistarh , Krishnendu Chatterjee , Mehrdad Karrabi , John Lazarsfeld

This paper considers a class of reinforcement-based learning (namely, perturbed learning automata) and provides a stochastic-stability analysis in repeatedly-played, positive-utility, finite strategic-form games. Prior work in this class of…

Computer Science and Game Theory · Computer Science 2019-01-29 Georgios C. Chasparis

Feedback Nash equilibrium strategies in multi-agent dynamic games require availability of all players' state information to compute control actions. However, in real-world scenarios, sensing and communication limitations between agents make…

Computer Science and Game Theory · Computer Science 2025-04-10 Xinjie Liu , Jingqi Li , Filippos Fotiadis , Mustafa O. Karabag , Jesse Milzman , David Fridovich-Keil , Ufuk Topcu

The alignment of Large Language Models (LLMs) is critically dependent on reward models trained on costly human preference data. While recent work explores bypassing this cost with AI feedback, these methods often lack a rigorous theoretical…

Computation and Language · Computer Science 2025-07-01 Yi-Chen Li , Tian Xu , Yang Yu , Xuqin Zhang , Xiong-Hui Chen , Zhongxiang Ling , Ningjing Chao , Lei Yuan , Zhi-Hua Zhou

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

Dynamical Systems · Mathematics 2023-01-11 Longmei Shu , Feng Fu

We consider a stochastic model for evolution of group-structured populations in which interactions between group members correspond to the Prisoner's Dilemma or the Hawk-Dove game. Selection operates at two organization levels: individuals…

Populations and Evolution · Quantitative Biology 2019-04-12 Daniel B. Cooney

Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied by one player. The goal of this paper is to initiate the…

Probability · Mathematics 2024-12-31 Jonas Köppl , Nicolas Lanchier , Max Mercer

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

Theoretical Economics · Economics 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

On-policy imitation learning algorithms such as DAgger evolve a robot control policy by executing it, measuring performance (loss), obtaining corrective feedback from a supervisor, and generating the next policy. As the loss between…

Robotics · Computer Science 2019-07-10 Jonathan N. Lee , Michael Laskey , Ajay Kumar Tanwani , Anil Aswani , Ken Goldberg

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

Social and Information Networks · Computer Science 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

Nearly all simulation-based games have environment parameters that affect incentives in the interaction but are not explicitly incorporated into the game model. To understand the impact of these parameters on strategic incentives, typical…

Computer Science and Game Theory · Computer Science 2026-05-06 Madelyn Gatchel , Bryce Wiedenbeck

Model-based controllers can offer strong guarantees on stability and convergence by relying on physically accurate dynamic models. However, these are rarely available for high-dimensional mechanical systems such as deformable objects or…

Robotics · Computer Science 2026-02-10 Katharina Friedl , Noémie Jaquier , Seungyeon Kim , Jens Lundell , Danica Kragic
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