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We consider moral hazard problems where a principal has access to rich monitoring data about an agent's action. Rather than focusing on optimal contracts (which are known to in general be complicated), we characterize the optimal rate at…

Theoretical Economics · Economics 2024-07-04 Mira Frick , Ryota Iijima , Yuhta Ishii

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 study a natural application of contract design in the context of sequential exploration problems. In our principal-agent setting, a search task is delegated to an agent. The agent performs a sequential exploration of $n$ boxes, suffers…

Computer Science and Game Theory · Computer Science 2025-01-27 Martin Hoefer , Conrad Schecker , Kevin Schewior

This paper considers a network of agents, where each agent is assumed to take actions optimally with respect to a predefined payoff function involving the latest actions of the agent's neighbors. Neighborhood relationships stem from payoff…

Dynamical Systems · Mathematics 2021-01-19 Sadegh Arefizadeh , Sadjaad Ozgoli , Sadegh Bolouki , Tamer Başar

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 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 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 the optimal contract problem in the \emph{combinatorial actions} framework of D\"utting et al.~[FOCS'21], where a principal delegates a project to an agent who chooses a subset of hidden, costly actions, and the resulting reward is…

Computer Science and Game Theory · Computer Science 2026-03-17 Michal Feldman , Liat Yashin

This paper investigates the moral hazard problem in finite horizon with both continuous and lump-sum payments, involving a time-inconsistent sophisticated agent and a standard utility maximiser principal. Building upon the so-called dynamic…

Theoretical Economics · Economics 2023-03-06 Camilo Hernández , Dylan Possamaï

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 work, we study sequential contracts under matroid constraints. In the sequential setting, an agent can take actions one by one. After each action, the agent observes the stochastic value of the action and then decides which action…

Computer Science and Game Theory · Computer Science 2026-02-04 Kanstantsin Pashkovich , Jacob Skitsko , Yun Xing

A smart grid connects wind or solar or storage farms, fossil fuel plants, industrialor commercial loads, or load serving entities, modeled as stochastic dynamical systems. In each time period, they consume or supply electrical energy, with…

Optimization and Control · Mathematics 2016-06-30 Rahul Singh , P. R. Kumar , Le Xie

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

The existence of optimal contracts of the principal-agent problem is a long-standing problem. According to the general framework in Cvitani\'c et al. [2], this existence can be derived from the existence of a classical solution to a…

Mathematical Finance · Quantitative Finance 2025-03-19 Xinfu Chen , Shuaijie Qian , Guan Qiao

This paper studies optimal consensus tracking problem of heterogeneous linear multi-agent systems. By introducing tracking error dynamics, the optimal tracking problem is reformulated as finding a Nash-equilibrium solution of a multi-player…

Optimization and Control · Mathematics 2019-05-21 Jilie Zhang , Zhanshan Wang , Hongwei Zhang

This article studies the problem of evaluating the information that a Principal lacks when establishing an incentive contract with an Agent whose effort is not observable. The Principal ("she") pays a continuous rent to the Agent ("he"),…

Optimization and Control · Mathematics 2023-04-10 Ishak Hajjej , Caroline Hillairet , Mohamed Mnif

We characterize the value of swing contracts in continuous time as the unique viscosity solution of a Hamilton-Jacobi-Bellman equation with suitable boundary conditions. The case of contracts with penalties is straightforward, and in that…

Optimization and Control · Mathematics 2013-07-05 M. Basei , A. Cesaroni , T. Vargiolu

We consider a contracting problem in which a principal hires an agent to manage a risky project. When the agent chooses volatility components of the output process and the principal observes the output continuously, the principal can…

Portfolio Management · Quantitative Finance 2015-03-17 Jakša Cvitanić , Dylan Possamaï , Nizar Touzi

In a framework close to the one developed by Holmstr\"om and Milgrom [44], we study the optimal contracting scheme between a Principal and several Agents. Each hired Agent is in charge of one project, and can make efforts towards managing…

Economics · Quantitative Finance 2016-05-27 Romuald Elie , Dylan Possamaï

We discuss an incentivizing market and model-based approach to design the energy management and control systems which realize high-quality ancillary services in dynamic power grids. Under the electricity liberalization, such incentivizing…

Systems and Control · Computer Science 2019-01-01 Yasuaki Wasa , Kenji Hirata , Kenko Uchida