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Related papers: Moral hazard under ambiguity

200 papers

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…

Optimization and Control · Mathematics 2023-09-06 Mao Fabrice Djete

We study the experimentation dynamics of a decision maker (DM) in a two-armed bandit setup (Bolton and Harris (1999)), where the agent holds ambiguous beliefs regarding the distribution of the return process of one arm and is certain about…

Theoretical Economics · Economics 2021-04-02 Farzad Pourbabaee

In this paper we consider a principal agent problem where the agent is allowed to quit, by incurring a cost. When the current agent quits the job, the principal will hire a new one, possibly with a different type. We characterize the…

Optimization and Control · Mathematics 2024-09-04 Jianfeng Zhang , Zimu Zhu

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

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

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

Economics · Quantitative Finance 2019-03-06 Larry G. Epstein , Shaolin Ji

This paper studies the continuous-time pre-commitment KMM problem proposed by Klibanoff, Marinacci and Mukerji (2005) in incomplete financial markets, which concerns with the portfolio selection under smooth ambiguity. The decision maker…

Mathematical Finance · Quantitative Finance 2023-02-17 Guohui Guan , Zongxia Liang , Yilun Song

We consider the problem of an agent who faces losses in continuous time over a finite time horizon and may choose to share some of these losses with a counterparty. The agent is uncertain about the true loss distribution and has multiple…

Risk Management · Quantitative Finance 2026-01-13 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

In this paper, we undertake an investigation into the utility maximization problem faced by an economic agent who possesses the option to switch jobs, within a scenario featuring the presence of a mandatory retirement date. The agent needs…

Optimization and Control · Mathematics 2023-09-25 Zhou Yang , Junkee Jeon

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…

Portfolio Management · Quantitative Finance 2021-08-23 Guodong Ding , Daniele Marazzina

We study a repeated contracting setting in which a Principal adaptively chooses amongst $k$ Agents at each of $T$ rounds. The Agents are non-myopic, and so a mechanism for the Principal induces a $T$-round extensive form game amongst the…

Computer Science and Game Theory · Computer Science 2024-02-28 Natalie Collina , Varun Gupta , Aaron Roth

We statistically analyse a multivariate HJM diffusion model with stochastic volatility. The volatility process of the first factor is left totally unspecified while the volatility of the second factor is the product of an unknown process…

Statistics Theory · Mathematics 2019-06-07 Olivier Féron , Pierre Gruet , Marc Hoffmann

In distributionally robust optimization the probability distribution of the uncertain problem parameters is itself uncertain, and a fictitious adversary, e.g., nature, chooses the worst distribution from within a known ambiguity set. A…

Optimization and Control · Mathematics 2018-05-10 Etienne de Klerk , Daniel Kuhn , Krzysztof Postek

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

Mathematical Finance · Quantitative Finance 2018-06-20 Lijun Bo , Agostino Capponi

Bernard et al. (2015) study an optimal insurance design problem where an individual's preference is of the rank-dependent utility (RDU) type, and show that in general an optimal contract covers both large and small losses. However, their…

Mathematical Finance · Quantitative Finance 2022-01-07 Xu Zuo Quan , Zhou Xun Yu , Zhuang Sheng Chao

Aiming to analyze the impact of environmental transition on the value of assets and on asset stranding, we study optimal stopping and divestment timing decisions for an economic agent whose future revenues depend on the realization of a…

Mathematical Finance · Quantitative Finance 2025-10-27 Andrea Mazzon , Peter Tankov

In this paper we consider stochastic optimization problems for an ambiguity averse decision maker who is uncertain about the parameters of the underlying process. In a first part we consider problems of optimal stopping under drift…

Computational Finance · Quantitative Finance 2015-03-19 Sören Christensen

This paper expands the work on distributionally robust newsvendor to incorporate moment constraints. The use of Wasserstein distance as the ambiguity measure is preserved. The infinite dimensional primal problem is formulated; problem of…

Mathematical Finance · Quantitative Finance 2020-11-02 Derek Singh , Shuzhong Zhang

In this article, we employ a principal-agent model to analyze optimal contract design in a monopolistic reinsurance market under adverse selection with a continuum of insurer types. Instead of using the classical expected utility framework,…

Risk Management · Quantitative Finance 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We study a repeated Principal Agent problem between a long lived Principal and Agent pair in a prior free setting. In our setting, the sequence of realized states of nature may be adversarially chosen, the Agent is non-myopic, and the…

Computer Science and Game Theory · Computer Science 2023-11-15 Natalie Collina , Aaron Roth , Han Shao