Mathematical Game Theory 2019

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

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