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We formulate and solve a deterministic optimal consumption problem to maximize the discounted CRRA utility of an individual's consumption-to-habit process assuming she only invests in a riskless market and that she is unwilling to consume…

最优化与控制 · 数学 2022-10-20 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

The \emph{turnpike property} in contemporary macroeconomics asserts that if an economic planner seeks to move an economy from one level of capital to another, then the most efficient path, as long as the planner has enough time, is to…

最优化与控制 · 数学 2022-02-10 Borjan Geshkovski , Enrique Zuazua

We consider the problem of repeatedly choosing policies to maximize social welfare. Welfare is a weighted sum of private utility and public revenue. Earlier outcomes inform later policies. Utility is not observed, but indirectly inferred.…

计量经济学 · 经济学 2024-07-30 Nicolo Cesa-Bianchi , Roberto Colomboni , Maximilian Kasy

This paper demonstrates how reinforcement learning can explain two puzzling empirical patterns in household consumption behavior during economic downturns. I develop a model where agents use Q-learning with neural network approximation to…

综合经济学 · 经济学 2025-10-24 Brandon Kaplowitz

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…

最优化与控制 · 数学 2026-03-20 Yingjie Lan

Since beginning of the 2008 financial crisis almost half a trillion euros have been spent to financially assist EU member states in taxpayer-funded bail-outs. These crisis resolutions are often accompanied by austerity programs causing…

综合金融 · 定量金融 2016-10-03 Peter Klimek , Sebastian Poledna , J. Doyne Farmer , Stefan Thurner

Several non-pharmaceutical interventions have been proposed to control the spread of the COVID-19 pandemic. On the large scale, these empirical solutions, often associated with extended and complete lockdowns, attempt to minimize the costs…

物理与社会 · 物理学 2020-07-23 M. Serra , S. al-Mosleh , S. Ganga Prasath , V. Raju , S. Mantena , J. Chandra , S. Iams , L. Mahadevan

Optimal stopping is the problem of deciding when to stop a stochastic system to obtain the greatest reward, arising in numerous application areas such as finance, healthcare and marketing. State-of-the-art methods for high-dimensional…

最优化与控制 · 数学 2020-01-01 Dragos Florin Ciocan , Velibor V. Mišić

The paper proposes a new stochastic intervention control model conducted in various commodity and stock markets. The essence of the phenomenon of intervention is described in accordance with current economic theory. A review of papers on…

综合金融 · 定量金融 2018-11-28 Peter Shnurkov , Daniil Novikov

The international financial system is currently not yet prepared to face a foreseeable crisis mainly motivated by the dichotomy between the real economy and the virtual economy. Skepticism is widespread even when it comes to investments in…

综合金融 · 定量金融 2022-03-24 I Martín-de-Santos

In many resource-limited optimal control problems, multiple constraints may be enforced that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations. In this manuscript, we…

最优化与控制 · 数学 2023-11-06 Natalia Pavlasek , Sarah H. Q. Li , Behçet Açıkmeşe , Meeko Oishi , Claus Danielson

Symbolic optimal control is a powerful method to synthesize algorithmically correct-by-design state-feedback controllers for nonlinear plants. Its solutions are (near-)optimal with respect to a given cost function. In this note, it is…

最优化与控制 · 数学 2022-05-30 Alexander Weber , Florian Fiege , Alexander Knoll

In practice, one must recognize the inevitable incompleteness of information while making decisions. In this paper, we consider the optimal redeeming problem of stock loans under a state of incomplete information presented by the…

证券定价 · 定量金融 2022-01-07 Zuo Quan Xu , Fahuai Yi

This article concerns the optimal choice of flat taxes on labor and capital income, and on consumption, in a tractable economic model in which agents are subject to idiosyncratic investment risk. We identify the tax rates which maximize…

综合经济学 · 经济学 2025-08-19 Brendan K. Beare , Alexis Akira Toda

A financial system is represented by a network, where nodes correspond to banks, and directed labeled edges correspond to debt contracts between banks. Once a payment schedule has been defined, where we assume that a bank cannot refuse a…

计算机科学与博弈论 · 计算机科学 2024-10-24 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

数理金融 · 定量金融 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

We study the effects on economic activity of a pure temporary change in government debt and the relationship between the debt multiplier and the level of debt in an overlapping generations framework. The debt multiplier is positive but…

综合经济学 · 经济学 2022-12-05 Alice Albonico , Guido Ascari , Alessandro Gobbi

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

投资组合管理 · 定量金融 2013-04-23 Vladimir Cherny , Jan Obloj

We study an optimal investment and consumption problem over a finite-time horizon, in which an individual invests in a risk-free asset and a risky asset, and evaluate utility using a general utility function that exhibits loss aversion with…

最优化与控制 · 数学 2025-07-08 Chonghu Guan , Xinfeng Gu , Wenhao Zhang , Xun Li

We study a model of a corporation which has the possibility to choose various production/business policies with different expected profits and risks. In the model there are restrictions on the dividend distribution rates as well as…

概率论 · 数学 2008-12-10 Tahir Choulli , Michael Taksar , Xun Yu Zhou