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Even in the face of deteriorating and highly volatile demand, firms often invest in, rather than discard, aging technologies. In order to study this phenomenon, we model the firm's profit stream as a Brownian motion with negative drift. At…

Optimization and Control · Mathematics 2019-01-08 H. Dharma Kwon

Infrastructure-as-a-Service (IaaS) clouds offer diverse instance purchasing options. A user can either run instances on demand and pay only for what it uses, or it can prepay to reserve instances for a long period, during which a usage…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-27 Wei Wang , Baochun Li , Ben Liang

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

Portfolio Management · Quantitative Finance 2022-02-16 Weidong Tian , Zimu Zhu

We consider an individual or household endowed with an initial capital and an income, modeled as a linear function of time. Assuming that the discount rate evolves as an Ornstein-Uhlenbeck process, we target to find an unrestricted…

Optimization and Control · Mathematics 2016-03-25 Julia Eisenberg

We consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

Computer Science and Game Theory · Computer Science 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

We introduce a novel theoretical framework for Return On Investment (ROI) maximization in repeated decision-making. Our setting is motivated by the use case of companies that regularly receive proposals for technological innovations and…

Machine Learning · Computer Science 2021-12-24 Nicolò Cesa-Bianchi , Tommaso Cesari , Yishay Mansour , Vianney Perchet

A theoretical method is empirically illustrated in finding the best time to forsake a loan such that the overall credit loss is minimised. This is predicated by forecasting the future cash flows of a loan portfolio up to the contractual…

Risk Management · Quantitative Finance 2022-03-25 Arno Botha , Conrad Beyers , Pieter de Villiers

In many resource allocation problems, a centralized controller needs to award some resource to a user selected from a collection of distributed users with the goal of maximizing the utility the user would receive from the resource. This can…

Information Theory · Computer Science 2016-04-20 Bradford D. Boyle , Jie Ren , John MacLaren Walsh , Steven Weber

We study optimal consumption and retirement using a Cobb-Douglas utility and a simple model in which an interesting bifurcation arises. With high wealth, individuals plan to retire. With low wealth they plan to never retire. At a critical…

Portfolio Management · Quantitative Finance 2025-06-04 Bushra Shehnam Ashraf , Thomas S. Salisbury

We address the problem of strategic asset allocation (SAA) with portfolios that include illiquid alternative asset classes. The main challenge in portfolio construction with illiquid asset classes is that we do not have direct control over…

In this paper, we present an adaptive investment strategy for environments with periodic returns on investment. In our approach, we consider an investment model where the agent decides at every time step the proportion of wealth to invest…

Computational Engineering, Finance, and Science · Computer Science 2008-12-01 J. -Emeterio Navarro

The design of data markets has gained importance as firms increasingly use machine learning models fueled by externally acquired training data. A key consideration is the externalities firms face when data, though inherently freely…

Computer Science and Game Theory · Computer Science 2024-10-22 Anish Agarwal , Munther Dahleh , Thibaut Horel , Maryann Rui

Artificial Intelligence (AI) holds the potential to dramatically improve patient care. However, it is not infallible, necessitating human-AI-collaboration to ensure safe implementation. One aspect of AI safety is the models' ability to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Anna M. Wundram , Christian F. Baumgartner

We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move…

Mathematical Finance · Quantitative Finance 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is proportional to the individual's salary, the dynamics of which follows a Heston…

Optimization and Control · Mathematics 2021-03-04 Xiaoyi Zhang , Linlin Tian

Insurance companies often include very long-term guarantees in participating life insurance products, which can turn out to be very valuable. Under a guaranteed annuity options (G.A.O), the insurer guarantees to convert a policyholder's…

Portfolio Management · Quantitative Finance 2009-08-25 Matheus R Grasselli , Sebastiano Silla

This paper studies a type of consumption preference where some adjustment costs are incured whenever the past spending maximum and the past spending minimum records are updated. This preference can capture the adverse effects of the…

Optimization and Control · Mathematics 2025-03-25 Yijie Huang , Kaixin Yan , Qinyi Zhang

We consider the problem of repeatedly allocating multiple shareable public goods that have limited availability in an online setting without the use of money. In our setting, agents have additive values, and the value each agent receives…

Computer Science and Game Theory · Computer Science 2025-11-10 Chido Onyeze , David X. Lin , Siddhartha Banerjee , Éva Tardos

We investigate optimal consumption policies in the liquidity risk model introduced in Pham and Tankov (2007). Our main result is to derive smoothness results for the value functions of the portfolio/consumption choice problem. As an…

Probability · Mathematics 2008-07-03 Alessandra Cretarola , Fausto Gozzi , Huyên Pham , Peter Tankov

This paper presents a simple method for a posteriori (historical) multi-variate multi-stage optimal trading under transaction costs and a diversification constraint. Starting from a given amount of money in some currency, we analyze the…

Portfolio Management · Quantitative Finance 2018-08-03 Mogens Graf Plessen , Alberto Bemporad