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This paper studies an optimal investment and consumption problem with heterogeneous consumption of basic and luxury goods, together with the choice of time for retirement. The utility for luxury goods is not necessarily a concave function.…

Portfolio Management · Quantitative Finance 2022-06-09 Hyun Jin Jang , Zuo Quan Xu , Harry Zheng

We consider a diffusion risk model where dividends are paid at rate $U(t) \in [0, u_0]$. We are interested in maximising the dividend payments under a drawdown constraint, that is, we penalise a drawdown size larger than a level $d > 0$. We…

Optimization and Control · Mathematics 2025-11-06 Kira Dudziak , Hanspeter Schmidli

We study monopoly regulation under asymmetric information about costs when subsidies are infeasible. A monopolist with privately known marginal cost serves a single product market and sets a price. The regulator maximizes a weighted welfare…

Theoretical Economics · Economics 2026-02-09 Jiaming Wei , Dihan Zou

In our model, private actors with interbank cash flows similar to, but nore general than (Carmona, Fouque, Sun, 2013) borrow from the outside economy at a certain interest rate, controlled by the central bank, and invest in risky assets.…

Risk Management · Quantitative Finance 2018-10-09 Aditya Maheshwari , Andrey Sarantsev

We study the regulation of a monopolistic firm using a robust-design approach. We solve for the policy that minimizes the regulator's worst-case regret, where the regret is the difference between his complete-information payoff minus his…

Theoretical Economics · Economics 2019-10-11 Yingni Guo , Eran Shmaya

Policymakers often face the decision of how to allocate resources across many different policies using noisy estimates of policy impacts. This paper develops a framework for optimal policy choices under statistical uncertainty. I consider a…

Econometrics · Economics 2026-02-03 Sarah Moon

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

Portfolio Management · Quantitative Finance 2025-10-01 Vladimir Markov

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

Portfolio Management · Quantitative Finance 2020-06-05 Qianqian Zhou , Junyi Guo

We study the risk criterion for investments based on the drawdown from the maximal value of the capital in the past. Depending on investor's risk attitude, thus his risk exposure, we find that the distribution of these drawdowns follows a…

Statistical Mechanics · Physics 2015-06-25 Sergei Maslov , Yi-Cheng Zhang

This paper proposes and studies an optimal dividend problem in which a two-state regime-switching environment affects the dynamics of the company's cash surplus and, as a novel feature, also the bankruptcy level. The aim is to maximize the…

Optimization and Control · Mathematics 2022-06-10 Giorgio Ferrari , Patrick Schuhmann , Shihao Zhu

Herding, where investors imitate others' decisions rather than relying on their own analysis, is a prevalent phenomenon in financial markets. Excessive herding distorts rational decisions, amplifies volatility, and can be exploited by…

Mathematical Finance · Quantitative Finance 2026-04-14 Huisheng Wang , H. Vicky Zhao

We consider a model of contagion in financial networks recently introduced in the literature, and we characterize the effect of a few features empirically observed in real networks on the stability of the system. Notably, we consider the…

General Finance · Quantitative Finance 2011-09-07 Fabio Caccioli , Thomas A. Catanach , J. Doyne Farmer

We study a simple singular control problem for a Brownian motion with constant drift and variance reflected at the origin. Exerting control pushes the process towards the origin and generates a concave increasing state-dependent yield which…

Probability · Mathematics 2024-08-30 Adam Jonsson

There has been a growing interest in multi-agent simulators in the domain of economic modeling. However, contemporary research often involves developing reinforcement learning (RL) based models that focus solely on a single type of agents,…

Multiagent Systems · Computer Science 2024-10-15 Kshama Dwarakanath , Jialin Dong , Svitlana Vyetrenko

This paper explores the interplay between transfer policies, R\&D, corruption, and economic development using a general equilibrium model with heterogeneous agents and a government. The government collects taxes, redistributes fiscal…

Computational Finance · Quantitative Finance 2025-12-04 Cuong Le Van , Ngoc-Sang Pham , Thi Kim Cuong Pham , Binh Tran-Nam

I introduce a new way of decomposing the evolution of the wealth distribution using a simple continuous time stochastic model, which separates the effects of mobility, savings, labor income, rates of return, demography, inheritance, and…

General Economics · Economics 2022-11-29 Thomas Blanchet

We study how governments promote social welfare through the design of contracting environments. We model the regulation of contracting as default delegation: the government chooses a delegation set of contract terms it is willing to…

Theoretical Economics · Economics 2022-05-17 Zoë Hitzig , Benjamin Niswonger

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

A decision maker (DM) has some funds invested through two investment firms. She wishes to allocate additional funds according to the firms' earnings. The DM, on the one hand, tries to maximize the total expected earnings, while the firms,…

Economics · Quantitative Finance 2015-05-19 David Lagziel , Ehud Lehrer

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao
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