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In this work, we address the optimal retirement problem in the presence of a stochastic wage, formulated as a free boundary problem. Specifically, we explore an incomplete market setting where the wage cannot be perfectly hedged through…

Mathematical Finance · Quantitative Finance 2025-03-04 Daniele Marazzina

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future income, so the total wealth is required to be positive at (all or…

Probability · Mathematics 2019-01-29 Oleksii Mostovyi , Mihai Sîrbu

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

In the present work we develop a formalism to tackle the problem of optimal execution when trading market securities. More precisely, we introduce a utility function that balances market impact and timing risk, with this last being modelled…

Trading and Market Microstructure · Quantitative Finance 2020-07-17 David Marcos

Closure problems are omnipresent when simulating multiscale systems, where some quantities and processes cannot be fully prescribed despite their effects on the simulation's accuracy. Recently, scientific machine learning approaches have…

Numerical Analysis · Mathematics 2024-09-13 Benjamin Sanderse , Panos Stinis , Romit Maulik , Shady E. Ahmed

We develop a theory for state-based noninterference in a setting where different security policies---we call them local policies---apply in different parts of a given system. Our theory comprises appropriate security definitions,…

Cryptography and Security · Computer Science 2013-06-17 Sebastian Eggert , Henning Schnoor , Thomas Wilke

This paper addresses decision-aiding problems that involve multiple objectives and uncertain states of the world. Inspired by the capability approach, we focus on cases where a policy maker chooses an act that, combined with a state of the…

Computers and Society · Computer Science 2024-05-24 Nicolas Fayard , David Ríos Insua , Alexis Tsoukiàs

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

Polarization is a major concern for a well-functioning society. Often, mass polarization of a society is driven by polarizing political representation, even when the latter is easily preventable. The existing computational social choice…

Computer Science and Game Theory · Computer Science 2025-09-03 Chris Dong , Martin Bullinger , Tomasz Wąs , Larry Birnbaum , Edith Elkind

Building on ideas from online convex optimization, we propose a general framework for the design of efficient securities markets over very large outcome spaces. The challenge here is computational. In a complete market, in which one…

Computer Science and Game Theory · Computer Science 2010-11-10 Jacob Abernethy , Yiling Chen , Jennifer Wortman Vaughan

This paper extends the utility maximization literature by combining partial information and (robust) regulatory constraints. Partial information is characterized by the fact that the stock price itself is observable by the optimizing…

Risk Management · Quantitative Finance 2025-09-23 Nicole Bäuerle , An Chen

Deriving the optimal safety stock quantity with which to meet customer satisfaction is one of the most important topics in stock management. However, it is difficult to control the stock management of correlated marketable merchandise when…

Optimization and Control · Mathematics 2017-01-10 Takashi Shinzato

Managing investment portfolios is an old and well know problem in multiple fields including financial mathematics and financial engineering as well as econometrics and econophysics. Multiple different concepts and theories were used so far…

Portfolio Management · Quantitative Finance 2020-01-08 Jarosław Gruszka , Janusz Szwabiński

A widely used technique for improving policies is success conditioning, in which one collects trajectories, identifies those that achieve a desired outcome, and updates the policy to imitate the actions taken along successful trajectories.…

Artificial Intelligence · Computer Science 2026-01-27 Daniel Russo

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

In this paper, we consider controlled linear dynamical systems in which the controller has only access to a compressed version of the system state. The technical problem we investigate is that of allocating compression resources over time…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Li Wang , Chao Zhang , Samson Lasaulce , Lina Bariah , Merouane Debbah

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Decentralized Finance (DeFi) has reshaped the possibilities of reserve banking in the form of the Collateralized Debt Position (CDP). Key to the safety of CDPs is the money supply architecture that enables issued debt to maintain its value.…

Risk Management · Quantitative Finance 2024-07-19 Yuval Boneh

The management of data and digital assets poses various challenges, including the need to adhere to legal requirements with respect to personal data protection and copyright. Usage control technologies could be used by software platform…

Cryptography and Security · Computer Science 2022-03-10 Ines Akaichi , Sabrina Kirrane

Systemic risk in banking systems remains a crucial issue that it has not been completely understood. In our toy model, banks are exposed to two sources of risks, namely, market risk from their investments in assets external to the banking…

Risk Management · Quantitative Finance 2017-02-24 Aki-Hiro Sato , Paolo Tasca , Takashi Isogai