Modeling, Analysis and Optimization for Mathematical Finance, Economics and Risks, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E5: Financial Mathematics".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 146

Special Issue Editors


E-Mail Website
Guest Editor

E-Mail Website
Guest Editor Assistant
College of Science, Donghua University, Shanghai 201620, China
Interests: application of stochastic optimal control in finance and insurance
Special Issues, Collections and Topics in MDPI journals

E-Mail
Guest Editor Assistant
School of Finance, Nanjing University of Finance and Economics, Nanjing 210023, China
Interests: stochastics; portfolio selection; dynamic programming
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The financial and economic landscapes are undergoing rapid transformations, driven by technological advancements, evolving market dynamics, and an increasing emphasis on sustainability. These developments present both unprecedented opportunities and complex challenges for risk measurement, management, and investment strategies. In response, there is a pressing need for innovative approaches that integrate cutting-edge methodologies to address the multifaceted nature of modern financial risks.

This Special Issue seeks to advance the modeling, analysis, and optimization of risks in finance, insurance, and economics by exploring the intersection of traditional financial theories with contemporary technological and environmental considerations. We are particularly interested in, but are not limited to, green finance and climate risk modeling, game-theoretic and advanced computational approaches, artificial intelligence and machine learning in risk management and optimization, data-driven financial and actuarial modeling, utilizing big data analytics to inform financial models, and enabling more precise forecasting and risk evaluation. The integration of diverse data sources, including alternative data, has become increasingly vital in developing comprehensive financial models.

By fostering interdisciplinary research that bridges finance, technology, and mathematics, this Special Issue aims to provide innovative solutions to the evolving challenges in financial and actuarial risk management. We encourage submissions that offer novel insights, methodologies, and applications that can advance the field and contribute to the development of more resilient and sustainable financial systems.

Prof. Dr. Jing Yao
Guest Editor

Dr. Linxiao Wei
Dr. Linlin Tian
Dr. Bing Liu
Guest Editor Assistants

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • risk assessment and management
  • optimization
  • green finance
  • data-driven financial modeling
  • financial risk management with machine learning

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

18 pages, 2279 KiB  
Article
Conditional Coherent and Convex Risk Measures Under Uncertainty
by Shuo Gong and Yijun Hu
Mathematics 2025, 13(9), 1403; https://doi.org/10.3390/math13091403 - 25 Apr 2025
Viewed by 65
Abstract
In this paper, we take a new perspective to describe the model uncertainty, and thus propose two new classes of risk measures under model uncertainty. To be precise, we use an auxiliary random variable to describe model uncertainty. By proposing new sets of [...] Read more.
In this paper, we take a new perspective to describe the model uncertainty, and thus propose two new classes of risk measures under model uncertainty. To be precise, we use an auxiliary random variable to describe model uncertainty. By proposing new sets of axioms under model uncertainty, we axiomatically introduce and characterize conditional coherent and convex risk measures under a random environment, respectively. As examples, we also discuss the connections of the introduced conditional coherent risk measures under random environments with two existing risk measures. This paper mainly gives some theoretical results, and it is expected to make meaningful complement to the study of coherent and convex risk measures under model uncertainty. Full article
Show Figures

Figure 1

Back to TopTop