The Game Theory

This book is a collection of selected papers presented at the consecutively held international conferences on “Game Theory and Networks”, organized by the Department of Mathematics, Dibrugarh University, India, in collaboration with the Economics Department of Queen’s University, Belfast, UK, during September 6–9, 2019 and September, 13–15 2018. The book includes chapters on network measures and network formation, application of network theory to contagion, biological data and finance and macroeconomics as expository articles. The book also contains chapters on fair allocation in the context of queuing, rationing and cooperative games with transferable utilities for engaged researchers. A few survey chapters on non-cooperative game theory, evolutionary game theory, mechanism design and social choice theory are also incorporated to cater to the needs of the beginners in the field.

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. It has greatly enhanced our understanding in decision making. 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, the game takes place when an individual pursues an objective in a situation in which other individuals concurrently pursue other (possibly conflicting, possibly overlapping) objectives and at the same time the objectives cannot be reached by individual actions of one decision maker