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We study an optimal dividend problem for an insurer who simultaneously controls investment weights in a financial market, liability ratio in the insurance business, and dividend payout rate. The insurer seeks an optimal strategy to maximize…

Mathematical Finance · Quantitative Finance 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou

We consider a social planner faced with a stream of myopic selfish agents. The goal of the social planner is to maximize the social welfare, however, it is limited to using only information asymmetry (regarding previous outcomes) and cannot…

Computer Science and Game Theory · Computer Science 2019-05-15 Lee Cohen , Yishay Mansour

Adopting a probabilistic approach we determine the optimal dividend payout policy of a firm whose surplus process follows a controlled arithmetic Brownian motion and whose cash-flows are discounted at a stochastic dynamic rate. Dividends…

Optimization and Control · Mathematics 2021-06-22 Elena Bandini , Tiziano De Angelis , Giorgio Ferrari , Fausto Gozzi

We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borrowing constraint. In this paper, to reflect a realistic…

Optimization and Control · Mathematics 2020-09-10 Boualem Djehiche , Fausto Gozzi , Giovanni Zanco , Margherita Zanella

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

Recently, there has been a growing interest in developing inventory control policies which are robust to model misspecification. One approach is to posit that nature selects a worst-case distribution for any stochastic primitives from some…

Optimization and Control · Mathematics 2018-08-21 Linwei Xin , David A. Goldberg

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

Portfolio Management · Quantitative Finance 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

We consider the robust exponential utility maximization problem in discrete time: An investor maximizes the worst case expected exponential utility with respect to a family of nondominated probabilistic models of her endowment by…

Portfolio Management · Quantitative Finance 2019-02-12 Daniel Bartl

In the classical static optimal reinsurance problem, the cost of capital for the insurer's risk exposure determined by a monetary risk measure is minimized over the class of reinsurance treaties represented by increasing Lipschitz retained…

Risk Management · Quantitative Finance 2020-12-18 Alexander Glauner

The transition from defined benefit to defined contribution pension plans shifts the responsibility for saving toward retirement from governments and institutions to the individuals. Determining optimal saving and investment strategy for…

Portfolio Management · Quantitative Finance 2022-06-14 Fatih Ozhamaratli , Paolo Barucca

This paper develops a risk-adjusted alternative to standard optimal policy learning (OPL) for observational data by importing Roy's (1952) safety-first principle into the treatment assignment problem. We formalize a welfare functional that…

Econometrics · Economics 2025-10-07 Giovanni Cerulli , Francesco Caracciolo

We combine forward investment performance processes and ambiguity averse portfolio selection. We introduce the notion of robust forward criteria which addresses the issues of ambiguity in model specification and in preferences and…

Portfolio Management · Quantitative Finance 2014-11-17 Sigrid Kallblad , Jan Obloj , Thaleia Zariphopoulou

A portfolio of different stocks and a risk-less security whose composition is dynamically maintained stable by trading shares at any time step leads to a growth of the capital with a nonrandom rate. This is the key for the theory of…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva

We study the modelling and valuation of surrender and other behavioural options in life insurance and pension. We place ourselves in between the two extremes of completely arbitrary intervention and optimal intervention by the policyholder.…

Mathematical Finance · Quantitative Finance 2014-12-08 Kamille Sofie Tågholt Gad , Jeppe Juhl , Mogens Steffensen

This paper investigates the optimal retirement decision, investment, and consumption strategies in a market with jump diffusion, taking into account habit persistence and stock-wage correlation. Our analysis considers multiple stocks and a…

Mathematical Finance · Quantitative Finance 2024-02-20 Guohui Guan , Qitao Huang , Zongxia Liang , Fengyi Yuan

A sequence of social sensors estimate an unknown parameter (modeled as a state of nature) by performing Bayesian Social Learning, and myopically optimize individual reward functions. The decisions of the social sensors contain quantized…

Social and Information Networks · Computer Science 2020-03-31 Sujay Bhatt , Vikram Krishnamurthy

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

Mathematical Finance · Quantitative Finance 2025-05-30 Sang Hu , Zihan Zhou

We study the welfare of a mechanism in a dynamic environment where a learning investor can make a costly investment to change her value. In many real-world problems, the common assumption that the investor always makes the best responses,…

Computer Science and Game Theory · Computer Science 2025-11-04 Ce Li , Qianfan Zhang , Weiqiang Zheng

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

Machine Learning · Computer Science 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári