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Institutions and investors face the constant challenge of making accurate decisions and predictions regarding how best they should distribute their endowments. The problem of achieving an optimal outcome at minimal cost has been extensively…

Multiagent Systems · Computer Science 2021-02-09 Theodor Cimpeanu , Cedric Perret , The Anh Han

A decision-maker periodically acquires information about a changing state, controlling both the timing and content of updates. I characterize optimal policies using a decomposition of the dynamic problem into optimal stopping and static…

Theoretical Economics · Economics 2025-12-02 César Barilla

In this paper we consider stopping problems with partial observation under a general risk-sensitive optimization criterion for problems with finite and infinite time horizon. Our aim is to maximize the certainty equivalent of the stopping…

Optimization and Control · Mathematics 2017-03-29 Nicole Bäuerle , Ulrich Rieder

In this work we study the continuous time exponential utility maximization problem in the framework of an investor who is informed about the price changes with a delay. This leads to a non-Markovian stochastic control problem. In the case…

Mathematical Finance · Quantitative Finance 2025-10-06 Yan Dolinsky

We consider the problem of learning from revealed preferences in an online setting. In our framework, each period a consumer buys an optimal bundle of goods from a merchant according to her (linear) utility function and current prices,…

Data Structures and Algorithms · Computer Science 2014-12-02 Kareem Amin , Rachel Cummings , Lili Dworkin , Michael Kearns , Aaron Roth

We study the problem of portfolio insurance from the point of view of a fund manager, who guarantees to the investor that the portfolio value at maturity will be above a fixed threshold. If, at maturity, the portfolio value is below the…

Risk Management · Quantitative Finance 2011-02-23 Carmine De Franco , Peter Tankov

A continuous-path semimartingale market model with wealth processes discounted by a riskless asset is considered. The numeraire portfolio is the unique strictly positive wealth process that, when used as a benchmark to denominate all other…

Portfolio Management · Quantitative Finance 2010-12-24 Constantinos Kardaras

We propose information-directed sampling -- a new approach to online optimization problems in which a decision-maker must balance between exploration and exploitation while learning from partial feedback. Each action is sampled in a manner…

Machine Learning · Computer Science 2017-07-10 Daniel Russo , Benjamin Van Roy

When faced with a new customer, many factors contribute to an insurance firm's decision of what offer to make to that customer. In addition to the expected cost of providing the insurance, the firm must consider the other offers likely to…

Machine Learning · Computer Science 2024-08-05 Edward James Young , Alistair Rogers , Elliott Tong , James Jordon

This paper studies a Kyle-Back model with a risk-averse insider possessing exponential utility and a dynamic stochastic signal about the asset's terminal fundamental value. While the existing literature considers either risk-neutral…

Mathematical Finance · Quantitative Finance 2025-12-05 Albina Danilova , Valentin Lizhdvoy

Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity,…

Machine Learning · Computer Science 2021-05-25 Daniel Alabi

Reinforcement learning has been explored for many problems, from video games with deterministic environments to portfolio and operations management in which scenarios are stochastic; however, there have been few attempts to test these…

General Finance · Quantitative Finance 2024-02-19 Sherly Alfonso-Sánchez , Jesús Solano , Alejandro Correa-Bahnsen , Kristina P. Sendova , Cristián Bravo

An insider is defined as a team member who covertly deviates from the team's optimal collaborative control strategy in pursuit of a private objective, while maintaining an outward appearance of cooperation. Such insider threats can severely…

Optimization and Control · Mathematics 2025-12-04 Gehui Xu , Kaiwen Chen , Thomas Parisini , Andreas A. Malikopoulos

In this paper, we study two optimisation settings for an insurance company, under the constraint that the terminal surplus at a deterministic and finite time $T$ follows a normal distribution with a given mean and a given variance. In both…

Mathematical Finance · Quantitative Finance 2022-06-13 Katia Colaneri , Julia Eisenberg , Benedetta Salterini

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

Optimization and Control · Mathematics 2026-03-20 Yingjie Lan

Every time the customer (individual or company) has to release personal information to its service provider (e.g., an online store or a cloud computing provider), it faces a trade-off between the benefits gained (enhanced or cheaper…

Cryptography and Security · Computer Science 2012-03-20 Giuseppe D'Acquisto , Maurizio Naldi , Giuseppe F. Italiano

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

This paper studies the optimal risk-averse timing to sell a risky asset. The investor's risk preference is described by the exponential, power, or log utility. Two stochastic models are considered for the asset price -- the geometric…

Mathematical Finance · Quantitative Finance 2016-10-27 Tim Leung , Zheng Wang

We study an information theoretic privacy mechanism design problem for two scenarios where the private data is either observable or hidden. In each scenario, we first consider bounded mutual information as privacy leakage criterion, then we…

Information Theory · Computer Science 2022-12-26 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund