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What type of delegation contract should be offered when facing a risk of the magnitude of the pandemic we are currently experiencing and how does the likelihood of an exogenous early termination of the relationship modify the terms of a…

Optimization and Control · Mathematics 2021-02-02 Jessica Martin , Stéphane Villeneuve

Can a principal still offer optimal dynamic contracts that are linear in end-of-period outcomes when the agent controls a process that exhibits memory? We provide a positive answer by considering a general Gaussian setting where the output…

Optimization and Control · Mathematics 2022-09-23 Eduardo Abi Jaber , Stéphane Villeneuve

We study a bilevel \emph{max-max} optimization framework for principal-agent contract design, in which a principal chooses incentives to maximize utility while anticipating the agent's best response. This problem, central to moral hazard…

Machine Learning · Computer Science 2025-10-27 Tomer Galanti , Aarya Bookseller , Korok Ray

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

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

A principal provides nondiscriminatory incentives for independent and identical agents. The principal cannot observe the agents' actions, nor does she know the entire set of actions available to them. It is shown, very generally, that any…

Theoretical Economics · Economics 2024-01-31 Ashwin Kambhampati

Today's control systems are often characterized by modularity and safety requirements to handle complexity, resulting in hierarchical control structures. Although hierarchical model predictive control offers favorable properties, achieving…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Felix Berkel , Kim Peter Wabersich , Hongxi Xiang , Elias Milios

We initiate the study of computing (near-)optimal contracts in succinctly representable principal-agent settings. Here optimality means maximizing the principal's expected payoff over all incentive-compatible contracts---known in economics…

Data Structures and Algorithms · Computer Science 2020-02-28 Paul Duetting , Tim Roughgarden , Inbal Talgam-Cohen

In this paper, we consider a chain of distributed systems governed by a degenerate parabolic equation, which satisfies a weak H\"{o}rmander type condition, with a control distributed over an open subdomain. In particular, we consider two…

Optimization and Control · Mathematics 2018-01-03 Getachew K. Befekadu , Eduardo L. Pasiliao

In this paper we investigate a Principal-Agent problem with moral hazard under Knightian uncertainty. We extend the seminal framework of Holmstr\"om and Milgrom by combining a Stackelberg equilibrium with a worst-case approach. We…

Optimization and Control · Mathematics 2018-03-28 Nicolás Hernández Santibánez , Thibaut Mastrolia

We consider a singular stochastic control problem, which is called the Monotone Follower Stochastic Control Problem and give sufficient conditions for the existence and uniqueness of a local-time type optimal control. To establish this…

Optimization and Control · Mathematics 2007-05-23 Erhan Bayraktar , Masahiko Egami

The increasing deployment of AI is shaping the future landscape of the internet, which is set to become an integrated ecosystem of AI agents. Orchestrating the interaction among AI agents necessitates decentralized, self-sustaining…

Computer Science and Game Theory · Computer Science 2024-10-08 Dima Ivanov , Paul Dütting , Inbal Talgam-Cohen , Tonghan Wang , David C. Parkes

We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

Theoretical Economics · Economics 2026-05-11 Brian Roberson

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

Machine Learning · Computer Science 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek

We study the classic principal-agent model when the signal observed by the principal is chosen by the agent. We fully characterize the optimal information structure from an agent's perspective in a general moral hazard setting with limited…

Theoretical Economics · Economics 2023-07-25 Majid Mahzoon , Ali Shourideh , Ariel Zetlin-Jones

We study principal-agent problems in which a principal commits to an outcome-dependent payment scheme (a.k.a. contract) so as to induce an agent to take a costly, unobservable action. We relax the assumption that the principal perfectly…

Computer Science and Game Theory · Computer Science 2021-06-02 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study a moral hazard problem with adverse selection: a risk-neutral agent can directly control the output distribution and possess private information about the production environment. The principal designs a menu of contracts satisfying…

Theoretical Economics · Economics 2026-01-08 Siwen Liu

We consider the robust contract design problem when the principal only has limited information about the actions the agent can take. The principal evaluates a contract according to its worst-case performance caused by the uncertain action…

Theoretical Economics · Economics 2024-06-18 Bo Peng , Zhihao Gavin Tang

Building on insights of Jovanovic (1982) and subsequent authors, we develop a comprehensive theory of optimal timing of decisions based around continuation value functions and operators that act on them. Optimality results are provided…

Optimization and Control · Mathematics 2017-03-30 Qingyin Ma , John Stachurski

We consider a stochastic control problem where the set of strict (classical) controls is not necessarily convex and the the variable control has two components, the first being absolutely continuous and the second singular. The system is…

Probability · Mathematics 2008-12-20 Seid Bahlali