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相关论文: A tale of a Principal and many many Agents

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We consider a moral hazard problem with multiple principals in a continuous-time model. The agent can only work exclusively for one principal at a given time, so faces an optimal switching problem. Using a randomized formulation, we manage…

概率论 · 数学 2022-09-14 Kaitong Hu , Zhenjie Ren , Junjian Yang

In this paper we study a principal-agent problem in continuous time with multiple lump-sum payments (contracts) paid at different deterministic times. We reduce the non-zero sum Stackelberg game between the principal and agent to a standard…

最优化与控制 · 数学 2024-11-08 Guillermo Alonso Alvarez , Erhan Bayraktar , Ibrahim Ekren , Liwei Huang

We use the recently developed probabilistic analysis of mean field games with finitely many states in the weak formulation, to set-up a principal / agent contract theory model where the principal faces a large population of agents…

概率论 · 数学 2018-08-27 Rene Carmona , Peiqi Wang

We investigate the existence of an optimal policy to monitor a mean field systems of agents managing a risky project under moral hazard with accidents modeled by L\'evy processes magnified by the law of the project. We provide a general…

最优化与控制 · 数学 2022-07-25 Thibaut Mastrolia , Jiacheng Zhang

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…

理论经济学 · 经济学 2023-03-06 Camilo Hernández , Dylan Possamaï

In a situation of moral hazard, this paper investigates the problem of Principal with $n$ Agents when the number of Agents $n$ goes to infinity. There is competition between the Agents expressed by the fact that they optimize their utility…

最优化与控制 · 数学 2023-09-06 Mao Fabrice Djete

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…

概率论 · 数学 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…

概率论 · 数学 2019-10-24 Kaitong Hu , Zhenjie Ren , Nizar Touzi

In this paper, we address three Principal--Agent problems in a moral hazard context and show that they are connected. We start by studying the problem of Principal with multiple Agents in cooperation. The term cooperation is manifested here…

最优化与控制 · 数学 2024-10-23 Mao Fabrice Djete

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…

最优化与控制 · 数学 2017-01-10 Jakša Cvitanić , Dylan Possamaï , Nizar Touzi

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…

计量经济学 · 经济学 2017-10-10 Qi Luo , Romesh Saigal

We consider a general formulation of the random horizon Principal-Agent problem with a continuous payment and a lump-sum payment at termination. In the European version of the problem, the random horizon is chosen solely by the principal…

最优化与控制 · 数学 2022-02-11 Yiqing Lin , Zhenjie Ren , Nizar Touzi , Junjian Yang

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…

概率论 · 数学 2015-04-07 Henri Pagès , Dylan Possamaï

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…

计算机科学与博弈论 · 计算机科学 2020-10-15 Guru Guruganesh , Jon Schneider , Joshua Wang

In this work, we systematically investigate mean field games and mean field type control problems with multiple populations using a coupled system of forward-backward stochastic differential equations of McKean-Vlasov type stemming from…

概率论 · 数学 2020-11-03 Masaaki Fujii

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…

最优化与控制 · 数学 2018-01-15 Thibaut Mastrolia , Zhenjie Ren

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…

最优化与控制 · 数学 2018-03-28 Nicolás Hernández Santibánez , Thibaut Mastrolia

The recent work by Cvitani\'c, Possama\"i, and Touzi (2018) [9] presents a general approach for continuous-time principal-agent problems, through dynamic programming and second-order backward stochastic differential equations (BSDEs). In…

最优化与控制 · 数学 2025-06-16 Alessandro Chiusolo , Emma Hubert

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…

最优化与控制 · 数学 2018-06-06 Kerem Ugurlu

We introduce a class of robust control problems formulated in min-max form, in which the principal agent is viewed as a central planner facing Nature. The agent's cost is a nonlinear function of all its possible realizations, encompassing…

最优化与控制 · 数学 2026-04-24 François Delarue , Pierre Lavigne
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