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Public-Private Partnership (PPP) is a contract between a public entity and a consortium, in which the public outsources the construction and the maintenance of an equipment (hospital, university, prison...). One drawback of this contract is…

Optimization and Control · Mathematics 2017-03-07 Ishak Hajjej , Caroline Hillairet , Mohamed Mnif , Monique Pontier

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

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

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 examine the trade-off between the provision of incentives to exert costly effort (ex-ante moral hazard) and the incentives needed to prevent the agent from manipulating the profit observed by the principal (ex-post moral hazard).…

Theoretical Economics · Economics 2021-12-14 Jean-Gabriel Lauzier

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 an optimal stopping problem with an unbounded, time-dependent and discontinuous reward function. This problem is motivated by the pricing of a variable annuity contract with guaranteed minimum maturity benefit, under the assumption…

Mathematical Finance · Quantitative Finance 2026-03-10 Anne Mackay , Marie-Claude Vachon

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

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

We consider a dynamic moral hazard problem between a principal and an agent, where the sole instrument the principal has to incentivize the agent is the disclosure of information. The principal aims at maximizing the (discounted) number of…

Theoretical Economics · Economics 2021-03-09 Wei Zhao , Claudio Mezzetti , Ludovic Renou , Tristan Tomala

This paper investigates Pareto optimal (PO, for short) insurance contracts in a behavioral finance framework, in which the insured evaluates contracts by the rank-dependent utility (RDU) theory and the insurer by the expected value premium…

Mathematical Finance · Quantitative Finance 2021-08-17 Zuo Quan Xu

This paper investigates a Pareto optimal insurance problem, where the insured maximizes her rank-dependent utility preference and the insurer is risk neutral and employs the mean-variance premium principle. To eliminate potential moral…

Risk Management · Quantitative Finance 2022-08-03 Zuo Quan Xu

We study a finite horizon optimal contracting problem of a risk-neutral principal and a risk-averse agent who receives a stochastic income stream when the agent is unable to make commitments. The problem involves an infinite number of…

Theoretical Economics · Economics 2019-01-14 Junkee Jeon , Hyeng Keun Koo , Kyunghyun Park

In this paper, we extend the Holmstro\"om and Milgrom problem [47] by adding uncertainty about the volatility of the output for both the Agent and the Principal. We study more precisely the impact of the "Nature" playing against the Agent…

Optimization and Control · Mathematics 2016-10-25 Thibaut Mastrolia , Dylan Possamaï

We study optimal contract design for large populations of heterogeneous agents whose actions generate network spillovers represented by an interaction function. In a linear-quadratic framework, we solve the finite-agent problem and its…

Theoretical Economics · Economics 2026-05-19 Guillermo Alonso Alvarez , Erhan Bayraktar , Ibrahim Ekren

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

We study a two-period moral hazard problem; there are two agents, with action sets that are unknown to the principal. The principal contracts with each agent sequentially, and seeks to maximize the worst-case discounted sum of payoffs,…

Theoretical Economics · Economics 2024-02-15 Chang Liu

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

In this paper, we take up the analysis of a principal/agent model with moral hazard introduced in [17], with optimal contracting between competitive investors and an impatient bank monitoring a pool of long-term loans subject to Markovian…

Probability · Mathematics 2015-04-07 Henri Pagès , Dylan Possamaï

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
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