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This paper studies the n-player game and the mean field game under the CRRA relative performance on terminal wealth, in which the interaction occurs by peer competition. In the model with n agents, the price dynamics of underlying risky…

Mathematical Finance · Quantitative Finance 2023-02-10 Lijun Bo , Shihua Wang , Xiang Yu

We present an incentive-compatible polynomial-time approximation scheme for multi-unit auctions with general k-minded player valuations. The mechanism fully optimizes over an appropriately chosen sub-range of possible allocations and then…

Computer Science and Game Theory · Computer Science 2014-01-17 Shahar Dobzinski , Noam Nisan

Conventional Mean-field games/control study the behavior of a large number of rational agents moving in the Euclidean spaces. In this work, we explore the mean-field games on Riemannian manifolds. We formulate the mean-field game Nash…

Optimization and Control · Mathematics 2023-04-26 Jiajia Yu , Rongjie Lai , Wuchen Li , Stanley Osher

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We consider a stylized model for a power network with distributed local power generation and storage. This system is modeled as network connection a large number of nodes, where each node is characterized by a local electricity consumption,…

Probability · Mathematics 2019-06-21 Clemence Alasseur , Imen Ben Tahar , Anis Matoussi

Recent years have witnessed an emerging paradigm shift toward embodied artificial intelligence, in which an agent must learn to solve challenging tasks by interacting with its environment. There are several challenges in solving embodied…

Robotics · Computer Science 2022-10-26 Zhiwei Jia , Kaixiang Lin , Yizhou Zhao , Qiaozi Gao , Govind Thattai , Gaurav Sukhatme

We construct Nash-equilibria in mean-field portfolio games of optimal investment and hedging under relative performance concerns with exponential (CARA) utility preferences. Common noise dynamics are modeled by integer-valued random…

Optimization and Control · Mathematics 2026-01-08 Dirk Becherer , Stefanie Hesse

We study fair multi-agent multi-armed bandit learning under collision-only coordination. Agents cannot communicate explicitly during learning and observe only their own rewards and whether collisions occur when several agents access the…

Machine Learning · Computer Science 2026-05-05 Amir Leshem

We study optimal experimental design for multinomial logit (MNL) bandits, where an agent repeatedly selects a subset of $K$ items from a ground set of size $N$ and observes single-choice feedback. Unlike linear or generalized linear…

Machine Learning · Statistics 2026-05-26 Joongkyu Lee , Min-hwan Oh

We consider a constrained Markov Decision Problem (CMDP) where the goal of an agent is to maximize the expected discounted sum of rewards over an infinite horizon while ensuring that the expected discounted sum of costs exceeds a certain…

Machine Learning · Computer Science 2024-11-01 Washim Uddin Mondal , Vaneet Aggarwal

Online platforms in the Internet Economy commonly incorporate recommender systems that recommend products (or "arms") to users (or "agents"). A key challenge in this domain arises from myopic agents who are naturally incentivized to exploit…

Information Retrieval · Computer Science 2024-06-19 Xiaowu Dai , Wenlu Xu , Yuan Qi , Michael I. Jordan

Mean-field games (MFGs) are a modeling framework for systems with a large number of interacting agents. They have applications in economics, finance, and game theory. Normalizing flows (NFs) are a family of deep generative models that…

Optimization and Control · Mathematics 2023-05-24 Han Huang , Jiajia Yu , Jie Chen , Rongjie Lai

In the context of large population symmetric games, approximate Nash equilibria are introduced through equilibrium solutions of the corresponding mean field game in the sense that the individual gain from optimal unilateral deviation under…

Computer Science and Game Theory · Computer Science 2026-01-30 Mao Fabrice Djete , Nizar Touzi

We consider the problem of designing sample efficient learning algorithms for infinite horizon discounted reward Markov Decision Process. Specifically, we propose the Accelerated Natural Policy Gradient (ANPG) algorithm that utilizes an…

Machine Learning · Computer Science 2024-02-06 Washim Uddin Mondal , Vaneet Aggarwal

Game theory has emerged as a fruitful paradigm for the design of networked multiagent systems. A fundamental component of this approach is the design of agents' utility functions so that their self-interested maximization results in a…

Computer Science and Game Theory · Computer Science 2020-03-12 Dario Paccagnan , Rahul Chandan , Jason R. Marden

We study the design of a decentralized two-sided matching market in which agents' search is guided by the platform. There are finitely many agent types, each with (potentially random) preferences drawn from known type-specific…

Computer Science and Game Theory · Computer Science 2021-08-19 Nicole Immorlica , Brendan Lucier , Vahideh Manshadi , Alexander Wei

We investigate the problem of equilibrium computation for "large" $n$-player games. Large games have a Lipschitz-type property that no single player's utility is greatly affected by any other individual player's actions. In this paper, we…

Computer Science and Game Theory · Computer Science 2016-10-28 Paul W. Goldberg , Francisco J. Marmolejo-Cossío , Zhiwei Steven Wu

Motivated by applications such as online labor markets we consider a variant of the stochastic multi-armed bandit problem where we have a collection of arms representing strategic agents with different performance characteristics. The…

Computer Science and Game Theory · Computer Science 2025-03-11 Seyed A. Esmaeili , Suho Shin , Aleksandrs Slivkins

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its expected payoff against the worst-case transitions within…

Optimization and Control · Mathematics 2026-01-21 Zongxia Liang , Zhou Zhou , Yaqi Zhuang , Bin Zou

We study policy gradient methods for reinforcement learning in non-Markovian decision processes (NMDPs), where observations and rewards depend on the entire interaction history. To handle this dependence, the agent maintains an internal…

Machine Learning · Computer Science 2026-05-12 Avik Kar , Siddharth Chandak , Rahul Singh , Soumitra Sinhahajari , Eric Moulines , Shalabh Bhatnagar , Nicholas Bambos
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