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This paper solves the problem of optimal dynamic consumption, investment, and healthcare spending with isoelastic utility, when natural mortality grows exponentially to reflect Gompertz' law and investment opportunities are constant.…

Mathematical Finance · Quantitative Finance 2021-07-15 Paolo Guasoni , Yu-Jui Huang

This paper studies a continuous-time optimal portfolio selection problem in the complete market for a behavioral investor whose preference is of the prospect type with probability distortion. The investor concerns about the terminal…

Portfolio Management · Quantitative Finance 2022-11-11 Jing Peng , Pengyu Wei , Zuo Quan Xu

For an investor with constant absolute risk aversion and a long horizon, who trades in a market with constant investment opportunities and small proportional transaction costs, we obtain explicitly the optimal investment policy, its implied…

Portfolio Management · Quantitative Finance 2012-08-01 Paolo Guasoni , Johannes Muhle-Karbe

We consider the problem of optimal investment with intermediate consumption in a general semimartingale model of an incomplete market, with preferences being represented by a utility stochastic field. We show that the key conclusions of the…

Portfolio Management · Quantitative Finance 2017-09-20 Huy N. Chau , Andrea Cosso , Claudio Fontana , Oleksii Mostovyi

Regulators and academics are increasingly interested in the causal effect that algorithmic actions of a digital platform have on consumption. We introduce a general causal inference problem we call the steerability of consumption that…

Machine Learning · Computer Science 2023-02-13 Gary Cheng , Moritz Hardt , Celestine Mendler-Dünner

This paper studies finite-time optimal consumption-investment problems with power, logarithmic and exponential utilities, in a regime switching market with random coefficients, subject to coupled constraints on the consumption and…

Probability · Mathematics 2022-11-11 Ying Hu , Xiaomin Shi , Zuo Quan Xu

Despite many decades of research, economically grounded models that analyse energy consumption and energy-efficiency adoption within a unified framework remain underdeveloped. This article addresses this gap by proposing a model of…

General Economics · Economics 2026-05-01 Anthony Britto , Carlos Oliveira , Max Kleinebrahm

Addiction is a major societal issue leading to billions in healthcare losses per year. Policy makers often introduce ad hoc quantity limits-limits on the consumption or possession of a substance-something which current economic models of…

Theoretical Economics · Economics 2024-07-25 Eric Gao

We show that risk-aware behaviors in demand response originate from superquadratic state-dependent cost functions and price uncertainty with skewed distributions. We obtain such results through developing a novel theoretical demand response…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Liudong Chen , Bolun Xu

We establish explicit socially optimal rules for an irreversible investment deci- sion with time-to-build and uncertainty. Assuming a price sensitive demand function with a random intercept, we provide comparative statics and economic…

Mathematical Finance · Quantitative Finance 2014-06-03 René Aid , Salvatore Federico , Huyên Pham , Bertrand Villeneuve

The subject of this paper is an optimal consumption/optimal portfolio problem with transaction costs and with multiple risky assets. In our model the transaction costs take a special form in that transaction costs on purchases of one of the…

Mathematical Finance · Quantitative Finance 2014-09-30 David Hobson , Yeqi Zhu

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

Probability · Mathematics 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

This paper studies robust forward investment and consumption preferences and optimal strategies for a risk-averse and ambiguity-averse agent in an incomplete financial market with drift and volatility uncertainties. We focus on non-zero…

Portfolio Management · Quantitative Finance 2025-09-17 Wing Fung Chong , Gechun Liang

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

This memoir presents a systematic study of the utility maximization problem of an investor in a constrained and unbounded financial market. Building upon the work of Hu et al. (2005) [Ann. Appl. Probab., 15, 1691--1712] in a bounded…

Probability · Mathematics 2024-10-16 Ying Hu , Gechun Liang , Shanjian Tang

Strong empirical evidence from laboratory experiments, and more recently from population surveys, shows that individuals, when evaluating their situations, pay attention to whether they experience gains or losses, with losses weighing more…

Theoretical Economics · Economics 2025-10-17 Martyna Kobus , Radosław Kurek , Thomas Parker

To choose between two discrete goods, a consumer pays attention to only those with prices below a threshold. From these, she chooses her most preferred good. We assume consumers in a population have the same preference but may have…

Theoretical Economics · Economics 2025-11-07 Kaushil Patel

Agents' learning from feedback shapes economic outcomes, and many economic decision-makers today employ learning algorithms to make consequential choices. This note shows that a widely used learning algorithm, $\varepsilon$-Greedy, exhibits…

Machine Learning · Computer Science 2023-12-13 Andreas Haupt , Aroon Narayanan

We provide investment advice for an individual who wishes to minimize her lifetime poverty, with a penalty for bankruptcy or ruin. We measure poverty via a non-negative, non-increasing function of (running) wealth. Thus, the lower wealth…

Portfolio Management · Quantitative Finance 2018-05-02 Asaf Cohen , Virginia R. Young

We introduce the logistic model of consumption growth, which captures a negative feedback loop preventing an unlimited growth of consumption due to finite biophysical resources of our planet. This simple dynamic model allows for derivation…

General Finance · Quantitative Finance 2018-07-05 Victor E. Gluzberg , Yuri A. Katz
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