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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

In this paper, we consider a problem of contract theory in which several Principals hire a common Agent and we study the model in the continuous time setting. We show that optimal contracts should satisfy some equilibrium conditions and we…

Optimization and Control · Mathematics 2018-01-15 Thibaut Mastrolia , Zhenjie Ren

This paper proposes a method to design an optimal dynamic contract between a principal and an agent, who has the authority to control both the principal's revenue and an engineered system. The key characteristic of our problem setting is…

Optimization and Control · Mathematics 2014-03-24 Insoon Yang , Duncan S. Callaway , Claire J. Tomlin

We consider a general formulation of the Principal-Agent problem with a lump-sum payment on a finite horizon, providing a systematic method for solving such problems. Our approach is the following: we first find the contract that is optimal…

Optimization and Control · Mathematics 2017-01-10 Jakša Cvitanić , Dylan Possamaï , Nizar Touzi

We study a general class of Principal-Agent problems in continuous time under hidden action. By formulating the model as a coupled stochastic optimal control problem we are able to find a set of necessary conditions characterizing optimal…

Optimization and Control · Mathematics 2014-11-27 Boualem Djehiche , Peter Helgesson

We consider the classic principal-agent model of contract theory, in which a principal designs an outcome-dependent compensation scheme to incentivize an agent to take a costly and unobservable action. When all of the model…

Computer Science and Game Theory · Computer Science 2020-08-11 Paul Dütting , Tim Roughgarden , Inbal Talgam-Cohen

Dynamic contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. In this paper, we extend the single-agent dynamic incentive contract model in continuous-time to a multi-agent scheme…

Econometrics · Economics 2017-10-10 Qi Luo , Romesh Saigal

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 study a general contracting problem between the principal and a finite set of competitive agents, who perform equivalent changes of measure by controlling the drift of the output process and the compensator of its associated jump…

Optimization and Control · Mathematics 2022-08-25 Nicolás Hernández Santibáñez

We analyze conditional optimization problems arising in discrete time Principal-Agent problems of delegated portfolio optimization with linear contracts. Applying tools from Conditional Analysis we show that some results known in the…

Mathematical Finance · Quantitative Finance 2016-06-15 Julio Backhoff , Ulrich Horst

We introduce a stochastic principal-agent model. A principal and an agent interact in a stochastic environment, each privy to observations about the state not available to the other. The principal has the power of commitment, both to elicit…

Computer Science and Game Theory · Computer Science 2024-09-13 Jiarui Gan , Rupak Majumdar , Debmalya Mandal , Goran Radanovic

Linear contracts are ubiquitous in practice, yet optimal contract theory often prescribes complex, nonlinear structures. We provide a distributional robustness justification for linear contracts. We study a principal-agent problem where the…

Computer Science and Game Theory · Computer Science 2026-04-28 Shiliang Zuo

We introduce and study a computational version of the principal-agent problem -- a classic problem in Economics that arises when a principal desires to contract an agent to carry out some task, but has incomplete information about the agent…

Computer Science and Game Theory · Computer Science 2023-05-18 David Hyland , Julian Gutierrez , Michael Wooldridge

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 where a farsighted agent takes costly actions in an MDP. The core challenge in these settings is that agent's actions are hidden to the principal, who can only observe their outcomes, namely state…

Computer Science and Game Theory · Computer Science 2024-10-18 Matteo Bollini , Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study a generic principal-agent problem in continuous time on a finite time horizon. We introduce a framework in which the agent is allowed to employ measure-valued controls and characterise the continuation utility as a solution to a…

Probability · Mathematics 2025-12-01 Daniel Kršek , Dylan Possamaï

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 study a principal-agent team production model. The principal hires a team of agents to participate in a common production task. The exact effort of each agent is unobservable and unverifiable, but the total production outcome (e.g. the…

Computer Science and Game Theory · Computer Science 2025-05-27 Shiliang Zuo

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

In this paper we present a variational calculus approach to Principal-Agent problem with a lump-sum payment on finite horizon in degenerate stochastic systems, such as filtered partially observed linear systems. Our work extends the…

Probability · Mathematics 2019-10-24 Kaitong Hu , Zhenjie Ren , Nizar Touzi
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