Recent Advances in Game Theory and Applications: European Meeting on Game Theory, Saint Petersburg, Russia, 2015, and Networking Games and Management, Petrozavodsk, Russia, 2015
The importance of strategic behavior in the human and social world is increasingly recognized in theory and practice. As a result, game theory has emerged as a fundamental instrument in pure and applied research. The discipline of game theory
studies decision-making in an interactive environment. It draws on mathematics, statistics, operations research, engineering, biology, economics, political science, and other subjects. In canonical form, a game takes place when an individual pursues an objective in a situation in which other individuals concurrently pursue other (possibly overlapping, possibly conflicting) objectives, and at the same time, these objectives cannot be reached by the individual actions of one decision-maker. The problem then is to determine each object’s optimal decisions, how these decisions interact to produce an equilibrium, and the properties of such outcomes. The foundation of game theory was laid more than 70 years ago by John von Neumann
and Oskar Morgenstern. Theoretical research and applications are proceeding apace, in areas ranging from aircraft and missile control to inventory management, market development, natural resources extraction, competition policy, negotiation techniques, macroeconomic and environmental planning, capital accumulation, and investment. In all these areas, game theory is perhaps the most sophisticated and fertile paradigm applied mathematics can offer to study and analyze decision-making
under real-world conditions.