Special Issue "Mathematical Game Theory 2019"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computers Science".

Deadline for manuscript submissions: 30 November 2019

Special Issue Editor

Guest Editor
Prof. Dr. Vladimir Mazalov

Institute of Applied Mathematical Research of Karelian Research Centre, Russian Academy of Sciences, Petrozavodsk, Karelia 185910, Russia
Website | E-Mail
Interests: game theory; decision analysis; dynamic programming; bargaining models; networking games; behavioral models

Special Issue Information

Dear Colleagues,

This issue is a continuation of the previous successful Special Issue "Mathematical Game Theory" in Mathematics.

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. The main tools in the analysis of game models are mathematical methods. The spectrum of mathematical approaches in game theory is very wide.  In dynamic games, the Hamilton-Jacobi-Bellman equation and Pontryagin maximum principle are very useful. The mean-field approach studies the situations that involve a very large number of “rational players” where each player chooses his optimal strategy in view of the global information that is available to him and that results from the actions of all players. Dynamic games theory has various applications in many fields, including resource allocation, pollution control, fishery, and energy-efficient power control.  Networking games are games on graphs. This direction in game theory has appeared in connection with the emergence of new information technologies, in particular, global Internet, mobile communications, distributed and cloud computing, and social networks. The online social networks have given impulse to the development of new graph-theoretical methods for network analysis. Users of such networks are united in communities, forming networks of different topologies. An analysis of the structure of such graphs is important not only in itself but also for being able to evaluate the results of equilibrium game-theoretic interactions in such networks. Social network analysis methods are applied in many fields, such as economics, physics, biology, and information technologies. In routing games, players choose information transfer channels with limited bandwidths. Here, equilibrium is a result of the application of the optimization theory. 

This Special Issue will present papers covering the wide range of mathematical methods used in game theory, including recent advances in areas of high potential for future works and new developments in classical results. It will be of interest to anyone involved in theoretical research in game theory or working on one of its numerous applications.

Prof. Dr. Vladimir Mazalov
Guest Editor

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 850 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

  • 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

Published Papers

This special issue is now open for submission.
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