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Cooperatively optimizing a vast number of agents that are connected over a large-scale network brings unprecedented scalability challenges. This paper revolves around problems optimizing coupled objective functions under coupled…

Optimization and Control · Mathematics 2020-10-14 Xiang Huo , Mingxi Liu

The agency problem emerges in today's large scale machine learning tasks, where the learners are unable to direct content creation or enforce data collection. In this work, we propose a theoretical framework for aligning economic interests…

Machine Learning · Computer Science 2024-07-03 Jibang Wu , Siyu Chen , Mengdi Wang , Huazheng Wang , Haifeng Xu

This paper studies contracting in the presence of externalities with a non-contractible outsider. Multiple equilibria arise from strategic symmetry between the insider agent and the outsider. To address strategic uncertainty, the principal…

Theoretical Economics · Economics 2025-09-09 Hongcheng Li

Bilevel optimization provides a powerful framework for modelling hierarchical decision-making systems. This work presents a sensitivity-based algorithm that addresses the bilevel structure directly by treating the lower-level optimal…

Optimization and Control · Mathematics 2026-05-28 Eduardo Nolasco , Ross D. King , Vassilios S. Vassiliadis

A principal uses payments conditioned on stochastic outcomes of a team project to elicit costly effort from the team members. We develop a multi-agent generalization of a classic first-order approach to contract optimization by leveraging…

Theoretical Economics · Economics 2026-03-13 Krishna Dasaratha , Benjamin Golub , Anant Shah

Bilevel optimization has gained prominence in various applications. In this study, we introduce a framework for solving bilevel optimization problems, where the variables in both the lower and upper levels are constrained on Riemannian…

Optimization and Control · Mathematics 2024-11-05 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Akiko Takeda

While the success of large language models (LLMs) increases demand for machine-generated text, current pay-per-token pricing schemes create a misalignment of incentives known in economics as moral hazard: Text-generating agents have strong…

Computer Science and Game Theory · Computer Science 2025-06-13 Eden Saig , Ohad Einav , Inbal Talgam-Cohen

Multi-agent Reinforcement Learning (MARL) is a powerful tool for training autonomous agents acting independently in a common environment. However, it can lead to sub-optimal behavior when individual incentives and group incentives diverge.…

Artificial Intelligence · Computer Science 2024-01-30 Andreas A. Haupt , Phillip J. K. Christoffersen , Mehul Damani , Dylan Hadfield-Menell

We study Bayesian automated mechanism design in unstructured dynamic environments, where a principal repeatedly interacts with an agent, and takes actions based on the strategic agent's report of the current state of the world. Both the…

Computer Science and Game Theory · Computer Science 2021-05-14 Hanrui Zhang , Vincent Conitzer

We analyze a two-period principal-agent model in which the principal faces a budget constraint, and the agent's private costs of performing tasks across the two periods may be correlated. We examine the optimal design of the reward scheme…

Optimization and Control · Mathematics 2025-12-30 Eilon Solan , Avraham Tabbach , Chang Zhao

We introduce a novel problem setting for algorithmic contract design, named the principal-MARL contract design problem. This setting extends traditional contract design to account for dynamic and stochastic environments using Markov Games…

Multiagent Systems · Computer Science 2024-08-20 David Molina Concha , Kyeonghyeon Park , Hyun-Rok Lee , Taesik Lee , Chi-Guhn Lee

We study a robust contract design problem with deferred inspection, in which a principal allocates a scarce resource to an agent, observes the agent's realized outcome ex post at negligible cost, and conditions transfers on this information…

Theoretical Economics · Economics 2026-01-12 Halil I. Bayrak , Martin Bichler

Here, we develop a deep learning algorithm for solving Principal-Agent (PA) mean field games with market-clearing conditions -- a class of problems that have thus far not been studied and one that poses difficulties for standard numerical…

Machine Learning · Computer Science 2021-10-05 Steven Campbell , Yichao Chen , Arvind Shrivats , Sebastian Jaimungal

We consider a principal-agent problem where the agent may privately choose to acquire relevant information prior to taking a hidden action. This model generalizes two special cases: a classic moral hazard setting, and a more recently…

Computer Science and Game Theory · Computer Science 2022-06-13 Maneesha Papireddygari , Bo Waggoner

The rapid advancement of AI and other emerging technologies has triggered exponential growth in computing resources demand. Faced with prohibitive infrastructure costs for large-scale computing clusters, users are increasingly resorting to…

Computer Science and Game Theory · Computer Science 2025-04-22 Zhengyan Deng , Yusen Zheng , Chenliang Sheng , Shaowen Qin

In contrast with many other convex optimization classes, state-of-the-art semidefinite programming solvers are yet unable to efficiently solve large scale instances. This work aims to reduce this scalability gap by proposing a novel…

Optimization and Control · Mathematics 2018-12-20 Mario Souto , Joaquim D. Garcia , Alvaro Veiga

Designing hierarchical reinforcement learning algorithms that exhibit safe behaviour is not only vital for practical applications but also, facilitates a better understanding of an agent's decisions. We tackle this problem in the options…

Artificial Intelligence · Computer Science 2021-07-01 Arushi Jain , Khimya Khetarpal , Doina Precup

We study multi-agent contract design, where a principal incentivizes a team of agents to take costly actions that jointly determine the project success via a combinatorial reward function. While prior work largely focuses on unconstrained…

Computer Science and Game Theory · Computer Science 2026-03-10 Michal Feldman , Yoav Gal-Tzur , Tomasz Ponitka , Maya Schlesinger

Principal agent games are a growing area of research which focuses on the optimal behaviour of a principal and an agent, with the former contracting work from the latter, in return for providing a monetary award. While this field…

Mathematical Finance · Quantitative Finance 2022-06-28 Dena Firoozi , Arvind V Shrivats , Sebastian Jaimungal

We propose a model of incentives for data pricing in large mobile networks, in which an operator wishes to balance the number of connections (active users) of different classes of users in the different cells and at different time instants,…

Optimization and Control · Mathematics 2019-01-09 Marianne Akian , Mustapha Bouhtou , Jean Bernard Eytard , Stéphane Gaubert
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