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Many real-life contractual relations differ completely from the clean, static model at the heart of principal-agent theory. Typically, they involve repeated strategic interactions of the principal and agent, taking place under uncertainty…

We consider a number of questions related to tradeoffs between reward and regret in repeated gameplay between two agents. To facilitate this, we introduce a notion of $\textit{generalized equilibrium}$ which allows for asymmetric regret…

Computer Science and Game Theory · Computer Science 2023-12-19 William Brown , Jon Schneider , Kiran Vodrahalli

We study the problem of learning the utility functions of no-regret learning agents in a repeated normal-form game. Differing from most prior literature, we introduce a principal with the power to observe the agents playing the game, send…

Computer Science and Game Theory · Computer Science 2026-05-13 Brian Hu Zhang , Tao Lin , Yiling Chen , Tuomas Sandholm

We initiate the study of a repeated principal-agent problem over a finite horizon $T$, where a principal sequentially interacts with $K\geq 2$ types of agents arriving in an adversarial order. At each round, the principal strategically…

Computer Science and Game Theory · Computer Science 2025-08-05 Junyan Liu , Arnab Maiti , Artin Tajdini , Kevin Jamieson , Lillian J. Ratliff

A rich class of mechanism design problems can be understood as incomplete-information games between a principal who commits to a policy and an agent who responds, with payoffs determined by an unknown state of the world. Traditionally,…

Theoretical Economics · Economics 2020-09-14 Modibo Camara , Jason Hartline , Aleck Johnsen

We study a repeated contracting setting in which a Principal adaptively chooses amongst $k$ Agents at each of $T$ rounds. The Agents are non-myopic, and so a mechanism for the Principal induces a $T$-round extensive form game amongst the…

Computer Science and Game Theory · Computer Science 2024-02-28 Natalie Collina , Varun Gupta , Aaron Roth

We study the incentivized information acquisition problem, where a principal hires an agent to gather information on her behalf. Such a problem is modeled as a Stackelberg game between the principal and the agent, where the principal…

Machine Learning · Computer Science 2023-08-08 Siyu Chen , Jibang Wu , Yifan Wu , Zhuoran Yang

In this work, we introduce and study contextual search in general principal-agent games, where a principal repeatedly interacts with agents by offering contracts based on contextual information and historical feedback, without knowing the…

Computer Science and Game Theory · Computer Science 2025-10-22 Yiding Feng , Mengfan Ma , Bo Peng , Zongqi Wan

This work considers a repeated principal-agent bandit game, where the principal can only interact with her environment through the agent. The principal and the agent have misaligned objectives and the choice of action is only left to the…

We study a repeated Principal Agent problem between a long lived Principal and Agent pair in a prior free setting. In our setting, the sequence of realized states of nature may be adversarially chosen, the Agent is non-myopic, and the…

Computer Science and Game Theory · Computer Science 2023-11-15 Natalie Collina , Aaron Roth , Han Shao

When deployed in the world, a learning agent such as a recommender system or a chatbot often repeatedly interacts with another learning agent (such as a user) over time. In many such two-agent systems, each agent learns separately and the…

Machine Learning · Computer Science 2024-06-24 Kate Donahue , Nicole Immorlica , Meena Jagadeesan , Brendan Lucier , Aleksandrs Slivkins

We study principal-agent problems in which a principal commits to an outcome-dependent payment scheme -- called contract -- in order to induce an agent to take a costly, unobservable action leading to favorable outcomes. We consider a…

Computer Science and Game Theory · Computer Science 2024-06-10 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

How should a player who repeatedly plays a game against a no-regret learner strategize to maximize his utility? We study this question and show that under some mild assumptions, the player can always guarantee himself a utility of at least…

Computer Science and Game Theory · Computer Science 2025-11-12 Yuan Deng , Jon Schneider , Balusubramanian Sivan

We study repeated first-price auctions and general repeated Bayesian games between two players, where one player, the learner, employs a no-regret learning algorithm, and the other player, the optimizer, knowing the learner's algorithm,…

Computer Science and Game Theory · Computer Science 2024-02-14 Aviad Rubinstein , Junyao Zhao

Large language models (LLMs) have been increasingly employed for (interactive) decision-making, via the development of LLM-based autonomous agents. Despite their emerging successes, the performance of LLM agents in decision-making has not…

Machine Learning · Computer Science 2025-10-16 Chanwoo Park , Xiangyu Liu , Asuman Ozdaglar , Kaiqing Zhang

We study the repeated principal-agent bandit game, where the principal indirectly interacts with the unknown environment by proposing incentives for the agent to play arms. Most existing work assumes the agent has full knowledge of the…

Machine Learning · Computer Science 2025-06-03 Junyan Liu , Lillian J. Ratliff

We study a ubiquitous learning challenge in online principal-agent problems during which the principal learns the agent's private information from the agent's revealed preferences in historical interactions. This paradigm includes important…

Computer Science and Game Theory · Computer Science 2024-01-01 Minbiao Han , Michael Albert , Haifeng Xu

In the principal-agent problem formulated by Myerson'82, agents have private information (type) and make private decisions (action), both of which are unobservable to the principal. Myerson pointed out an elegant linear programming solution…

Computer Science and Game Theory · Computer Science 2024-02-15 Jiarui Gan , Minbiao Han , Jibang Wu , Haifeng Xu

We study online learning settings in which experts act strategically to maximize their influence on the learning algorithm's predictions by potentially misreporting their beliefs about a sequence of binary events. Our goal is twofold.…

Machine Learning · Computer Science 2020-07-02 Rupert Freeman , David M. Pennock , Chara Podimata , Jennifer Wortman Vaughan

We present a study on a repeated delegated choice problem, which is the first to consider an online learning variant of Kleinberg and Kleinberg, EC'18. In this model, a principal interacts repeatedly with an agent who possesses an exogenous…

Computer Science and Game Theory · Computer Science 2024-02-15 MohammadTaghi Hajiaghayi , Mohammad Mahdavi , Keivan Rezaei , Suho Shin
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