Special Issue "Mathematical Game Theory"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 August 2018).
Interests: game theory; decision analysis; dynamic programming; bargaining models; networking games; behavioral models
Special Issues and Collections in MDPI journals
Rapid developments in technology, communication, industrial organization, economic integration and international trade have stimulated the appearance of different practical statements in the description of agent interaction, based on the game theory. A strategic approach to decision-making is very useful in many areas, such as bargaining, resource allocation, fishery, competition and cooperation, pollution control, networking, and competitive mobile systems. The main tools in the analysis of game models are mathematical methods. In dynamic games, the Hamilton-Jacobi-Bellman equation and Pontryagin maximum principle are very useful. Dynamic games theory has many applications in many fields, including biology, computer science, ecology, economics and management. In networking games, the result of interactions between agents are defined by a certain network. Networking games are games on graphs; graph-theoretic models are very important in this field. This direction in game theory has appeared in connection with the emergence of new information technologies. First of all it's the global Internet, mobile communications, distributed and cloud computing and social networks. In routing games, players choose information transfer channels with limited bandwidths. Equilibrium, here, is a result of the application of the optimization theory. Social networks appear lead to many new game-theoretic problem formulations. Users of such networks are united in communities, forming networks of different topologies. An analysis of the structure of such a graph is important in of itself, but is also important in being able to evaluate the results of equilibrium game-theoretic interactions in such networks. The spectrum of mathematical approaches in game theory is very wide.
This Special Issue contains papers that cover the wide range of mathematical methods used in game theory, including recent advances in areas of high potential for future works, as well as new developments in classical results. It will be of interest to anyone doing theoretical research in game theory or working on one its numerous applications.Prof. Dr. Vladimir Mazalov
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 papers will be 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 monthly 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 1200 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.
- Competition and cooperation
- Dynamic games
- Networking games
- Behavioral game theory
- Potential games
- Bargaining models
- Hamilton-Jacobi-Bellman equation
- Pontryagin maximum principle
- Applications in resource allocation, fishery, pollution control, networking