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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 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

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

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 study a generalization of the continuous time Principal-Agent problem allowing for time inconsistent utility functions, for instance of mean-variance type. Using recent results on the Pontryagin maximum principle for FBSDEs…

Optimization and Control · Mathematics 2015-03-19 Boualem Djehiche , Peter Helgesson

We introduce a novel model of contracts with combinatorial actions that accounts for sequential and adaptive agent behavior. As in the standard model, a principal delegates the execution of a costly project to an agent. There are $n$…

Computer Science and Game Theory · Computer Science 2025-04-22 Tomer Ezra , Michal Feldman , Maya Schlesinger

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

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 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

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

We are considering the problem of optimal portfolio delegation between an investor and a portfolio manager under a random default time. We focus on a novel variation of the Principal-Agent problem adapted to this framework. We address the…

Mathematical Finance · Quantitative Finance 2024-10-18 Alberto Gennaro , Thibaut Mastrolia

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

In the classical principal-agent problem, a principal must design a contract to incentivize an agent to perform an action on behalf of the principal. We study the classical principal-agent problem in a setting where the agent can be of one…

Computer Science and Game Theory · Computer Science 2020-10-15 Guru Guruganesh , Jon Schneider , Joshua Wang

We propose a distributionally robust principal agent formulation, which generalizes some common variants of worst-case and Bayesian principal agent problems. We construct a theoretical framework to certify whether any surjective contract…

Theoretical Economics · Economics 2024-01-17 Peter Zhang

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

This brief note considers the problem of learning with dynamic-optimizing principal-agent setting, in which the agents are allowed to have global perspectives about the learning process, i.e., the ability to view things according to their…

Machine Learning · Statistics 2026-01-12 Getachew K. Befekadu

In a continuous-time setting where a risk-averse agent controls the drift of an output process driven by a Brownian motion, optimal contracts are linear in the terminal output; this result is well-known in a setting with moral hazard and…

Portfolio Management · Quantitative Finance 2018-07-31 N. Packham

The problem of computing near-optimal contracts in combinatorial settings has recently attracted significant interest in the computer science community. Previous work has provided a rich body of structural and algorithmic insights into this…

Computer Science and Game Theory · Computer Science 2025-06-26 Michal Feldman , Yoav Gal-Tzur , Tomasz Ponitka , Maya Schlesinger

We consider the principal-agent problem with heterogeneous agents. Previous works assume that the principal signs independent incentive contracts with every agent to make them invest more efforts on the tasks. However, in many…

Multiagent Systems · Computer Science 2019-11-12 Shenke Xiao , Zihe Wang , Mengjing Chen , Pingzhong Tang , Xiwang Yang

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we…

Optimization and Control · Mathematics 2018-06-06 Kerem Ugurlu
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