Applications of Differential Games and Related Models in Mathematics and Economics
A special issue of Games (ISSN 2073-4336). This special issue belongs to the section "Applied Game Theory".
Deadline for manuscript submissions: 31 May 2025 | Viewed by 4201
Special Issue Editors
Interests: PDEs; game theory; applied mathematics; topology
Special Issues, Collections and Topics in MDPI journals
2. Department of Higher and Applied Mathematics, Tashkent State University of Economics, Tashkent 100066, Uzbekistan
Interests: differential games; pursuit; evasion; optimal control; ordinary differential equations
Interests: mathematical models for economics; finance; marketing environment; stochastic processes; optimal control; dynamic systems
Special Issue Information
Dear Colleagues,
The theme of this Special Issue is focused on differential games and the latest developments in that computational field. It is now known throughout the literature that the study of the theory of differential games has the purpose of defining the resolution of conflicting problems through the use of systems of differential equations. This area finds applications in optimal control theory and is responsible for a vast and very interesting series of ramifications in many fields of study such as graph theory, pursuit–evasion games, stochastic differential games, evolutionary games and so on in relation to defining the best strategy for the optimal solution of a conflict. The need to define differential games to address problems of natural economics lies in the fact that such games allow us to develop a multiplicity of solutions through those conceptual contributions which do not necessarily require the existence of a solution.
There are many contributions which link the theory of differential games to economics, including capital accumulation games, industrial organization and oligopoly games, marketing, resources, environmental economics, and a wide variety of other innovations. In fact, there are many examples in the literature of real applications to these economic situations.
The main objective of the Special Issue is to stimulate discussions between researchers and experts in order to define the research lines which must currently be pursued in the various parts of the world and introduce the application of differential games to fields of economics and mathematics in general.
Potential topics include but are not limited to:
- Linear quadratic differential games;
- Dynamic games;
- Differential games described by PDE;
- Applications of differential games to biology, computer science, economics, engineering, management science, operations research, and political science;
- Hamilton–Jacobi equations for incomplete information games;
- Continuous time games;
- Pursuit and evasion differential games with incomplete information;
- Hamilton–Jacobi equations in optimal control and differential games;
- Numerical methods for differential games;
- Control theory and theory of pursuit;
- Pursuit–evasion differential games;
- Stochastic pursuit–evasion differential games;
- Evolutionary pursuit–evasion games;
- Zero-sum differential games;
- Pursuit–evasion games on topological spaces;
- Pursuit and evasion differential games on graphs.
Dr. Bruno Antonio Pansera
Dr. Gafurjan Ibragimov
Dr. Lucianna Cananà
Guest Editors
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. Games 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 1600 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
- differential games
- pursuit–evasion games
- graph theory
- topological space
- hamilton–jacobi equations
- numerical methods
- PDEs
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