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When faced with a new customer, many factors contribute to an insurance firm's decision of what offer to make to that customer. In addition to the expected cost of providing the insurance, the firm must consider the other offers likely to…

Machine Learning · Computer Science 2024-08-05 Edward James Young , Alistair Rogers , Elliott Tong , James Jordon

This paper considers an insurer with two collaborating business lines that faces three critical decisions: (1) dividend payout, (2) reinsurance coverage, and (3) capital injection between the lines, in the presence of model uncertainty. The…

Optimization and Control · Mathematics 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

In this paper we analyse a dynamic model of investment under uncertainty in a duopoly, in which each firm has an option to switch from the present market to a new market. We construct a subgame perfect equilibrium in mixed strategies and…

Economics · Quantitative Finance 2015-06-16 Jan-Henrik Steg , Jacco Thijssen

As an example for the optimization of unstable flows, we present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. It exploits the naturally occuring fluctuations of traffic flow and…

Statistical Mechanics · Physics 2009-10-31 Bernardo A. Huberman , Dirk Helbing

In this paper, we consider the optimal dividend problem for a company. We describe the surplus process of the company by a diffusion model with regime switching. The aim of the company is to choose a dividend policy to maximize the expected…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

Market confidence is essential for successful investing. By incorporating multi-market into the evolutionary minority game, we investigate the effects of investor beliefs on the evolution of collective behaviors and asset prices. When there…

Trading and Market Microstructure · Quantitative Finance 2015-06-18 Li-Xin Zhong , Wen-Juan Xu , Ping Huang , Chen-Yang Zhong , Tian Qiu

A decision maker repeatedly chooses one of a finite set of actions. In each period, the decision maker's payoff depends on fixed basic payoff of the chosen action and the frequency with which the action has been chosen in the past. We…

Theoretical Economics · Economics 2024-05-02 Galit Ashkenazi-Golan , Dominik Karos , Ehud Lehrer

We consider trading against a hedge fund or large trader that must liquidate a large position in a risky asset if the market price of the asset crosses a certain threshold. Liquidation occurs in a disorderly manner and negatively impacts…

Trading and Market Microstructure · Quantitative Finance 2016-10-07 Caroline Hillairet , Cody Hyndman , Ying Jiao , Renjie Wang

This paper presents an optimal allocation problem in a financial market with one risk-free and one risky asset, when the market is driven by a stochastic market price of risk. We solve the problem in continuous time, for an investor with a…

Portfolio Management · Quantitative Finance 2019-09-19 Katia Colaneri , Stefano Herzel , Marco Nicolosi

Financial portfolio management describes the task of distributing funds and conducting trading operations on a set of financial assets, such as stocks, index funds, foreign exchange or cryptocurrencies, aiming to maximize the profit while…

This paper studies the switching of trading strategies and its effect on the market volatility in a continuous double auction market. We describe the behavior when some uninformed agents, who we call switchers, decide whether or not to pay…

Trading and Market Microstructure · Quantitative Finance 2015-06-17 Yi-Fang Liu , Wei Zhang , Chao Xu , Jørgen Vitting Andersen , Hai-Chuan Xu

We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of…

Pricing of Securities · Quantitative Finance 2017-03-02 Ying Jiao , Idris Kharroubi

We extend to the multi-asset case the framework of a discrete time model of a single asset financial market developed in Ghoulmie et al (2005). In particular, we focus on adaptive agents with threshold behavior allocating their resources…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 F. Ghoulmié , M. Bartolozzi , C. P. Mellen , T. Di Matteo

We call an investment strategy survival, if an agent who uses it maintains a non-vanishing share of market wealth over the infinite time horizon. In a discrete-time multi-agent model with endogenous asset prices determined through a…

Mathematical Finance · Quantitative Finance 2021-01-26 Mikhail Zhitlukhin

We provide a model of investment in innovation that is dynamic, features multiple heterogeneous research projects of which only one potentially leads to success, and in each period, the researcher chooses the set of projects to invest in.…

General Economics · Economics 2025-03-03 Jean-Michel Benkert , Igor Letina

All people have to make risky decisions in everyday life. And we do not know how true they are. But is it possible to mathematically assess the correctness of our choice? This article discusses the model of decision making under risk on the…

Risk Management · Quantitative Finance 2020-01-08 O. A. Malafeyev , A. N. Malova , A. E. Tsybaeva

Environments with controllable dynamics are usually understood in terms of explicit models. However, such models are not always available, but may sometimes be learned by exploring an environment. In this work, we investigate using an…

Machine Learning · Computer Science 2025-07-10 Peter N. Loxley , Friedrich T. Sommer

This paper delves into financial markets that incorporate a novel form of heterogeneity among investors, specifically in terms of their beliefs regarding the reliability of signals in the business cycle economy model, which may be biased.…

Mathematical Finance · Quantitative Finance 2024-05-16 Zongxia Liang , Qi Ye

This paper presents an innovative online portfolio selection model, situated within a meta-learning framework, that leverages a mixture policies strategy. The core idea is to simulate a fund that employs multiple fund managers, each skilled…

Optimization and Control · Mathematics 2025-05-13 Jiayu Shen , Jia Liu , Zhiping Chen

Financial markets, with their vast range of different investment opportunities, can be seen as a system of many different simultaneous games with diverse and often unknown levels of risk and reward. We introduce generalizations to the…

Portfolio Management · Quantitative Finance 2008-12-10 Matus Medo , Yury M. Pis'mak , Yi-Cheng Zhang
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