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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…

机器学习 · 计算机科学 2025-10-27 Tomer Galanti , Aarya Bookseller , Korok Ray

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

We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

数理金融 · 定量金融 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

We study optimal risk sharing among $n$ agents endowed with distortion risk measures. Our model includes market frictions that can either represent linear transaction costs or risk premia charged by a clearing house for the agents. Risk…

最优化与控制 · 数学 2012-05-07 M. Ludkovski , V. R. Young

Adding a capacity constraint to a hidden-action principal-agent problem results in the same set of Pareto optimal contracts as the unconstrained problem where output is scaled down by a constant factor. This scaling factor is increasing in…

理论经济学 · 经济学 2024-12-03 Aubrey Clark

What type of delegation contract should be offered when facing a risk of the magnitude of the pandemic we are currently experiencing and how does the likelihood of an exogenous early termination of the relationship modify the terms of a…

最优化与控制 · 数学 2021-02-02 Jessica Martin , Stéphane Villeneuve

This paper studies continuous-time optimal contracting in a hierarchy problem which generalises the model of Sung (2015). The hierarchy is modeled by a series of interlinked principal-agent problems, leading to a sequence of Stackelberg…

最优化与控制 · 数学 2020-07-22 Emma Hubert

In this work we analytically solve an optimal retirement problem, in which the agent optimally allocates the risky investment, consumption and leisure rate to maximise a gain function characterised by a power utility function of consumption…

投资组合管理 · 定量金融 2021-08-23 Guodong Ding , Daniele Marazzina

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…

最优化与控制 · 数学 2014-11-27 Boualem Djehiche , Peter Helgesson

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…

最优化与控制 · 数学 2015-03-19 Boualem Djehiche , Peter Helgesson

We study the fundamental problem of designing contracts in principal-agent problems under uncertainty. Previous works mostly addressed Bayesian settings in which principal's uncertainty is modeled as a probability distribution over agent's…

计算机科学与博弈论 · 计算机科学 2024-02-22 Martino Bernasconi , Matteo Castiglioni , Alberto Marchesi

We consider a multi-agent optimal resource sharing problem that is represented by a linear program. The amount of resource to be shared is fixed, and agents belong to a population that is characterized probabilistically so as to allow…

最优化与控制 · 数学 2021-09-29 Alessandro Falsone , Kostas Margellos , Jacopo Zizzo , Maria Prandini , Simone Garatti

We study a linear-quadratic, optimal control problem on a discrete, finite time horizon with distributional ambiguity, in which the cost is assessed via Conditional Value-at-Risk (CVaR). We take steps toward deriving a scalable dynamic…

系统与控制 · 电气工程与系统科学 2022-06-28 Margaret P. Chapman , Laurent Lessard

This paper studies some unconventional utility maximization problems when the ratio type relative portfolio performance is periodically evaluated over an infinite horizon. Meanwhile, the agent is prohibited from short-selling stocks. Our…

投资组合管理 · 定量金融 2023-12-20 Wenyuan Wang , Kaixin Yan , Xiang Yu

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…

多智能体系统 · 计算机科学 2019-11-12 Shenke Xiao , Zihe Wang , Mengjing Chen , Pingzhong Tang , Xiwang Yang

We study a portfolio optimization problem for competitive agents with CRRA utilities and a common finite time horizon. The utility of an agent depends not only on her absolute wealth and consumption but also on her relative wealth and…

数理金融 · 定量金融 2019-05-29 Daniel Lacker , Agathe Soret

This paper studies decentralized risk-sharing on networks. In particular, we consider a model where agents are nodes in a given network structure. Agents directly connected by edges in the network are referred to as friends. We study…

最优化与控制 · 数学 2026-03-13 Heather N. Fogarty , Sooie-Hoe Loke , Nicholas F. Marshall , Enrique A. Thomann

We consider the problem of optimal risk sharing in a pool of cooperative agents. We analyze the asymptotic behavior of the certainty equivalents and risk premia associated with the Pareto optimal risk sharing contract as the pool expands.…

风险管理 · 定量金融 2017-05-01 Thomas Knispel , Roger J. A. Laeven , Gregor Svindland

We develop a hybrid system model to describe the behavior of multiple agents cooperatively solving an optimal coverage problem under energy depletion and repletion constraints. The model captures the controlled switching of agents between…

信号处理 · 电气工程与系统科学 2020-03-04 Xiangyu Meng , Arian Houshmand , Christos G. Cassandras

Limited memory of decision-makers is often neglected in economic models, although it is reasonable to assume that it significantly influences the models' outcomes. The hidden-action model introduced by Holmstr\"om also includes this…

综合经济学 · 经济学 2021-05-27 Patrick Reinwald , Stephan Leitner , Friederike Wall