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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. This book discusses the use of game theoretic tools and network models across disciplines: mathematics, statistics, economics, computer science, political science, sociology and psychology. It aims at providing a suitable learning experience to beginners on the basics of cooperative games, networks and mechanism design, as well as recent developments to research scholars having the basic knowledge of these topics.
Fuzzy Algebra has witnessed a rapid growth in the last two or three decades. However, a very few books exists on the topic. The interested researchers have no option left than to rely upon the resources available in the journals only. A systematic representation of the contents in the form of a book would be a object of ready reference which can speed up the research activities in the research community. This book provides an insight to the fuzzification of some of the relatively newer concepts of fuzzy algebra such as Gamma-Semigroups, RGamma-Modules, Tensor-products etc. It further incorporates notions of localization and primary decomposition in commutative algebra into fuzzy environment. Text emphasizes connections between algebra and topology, in the last chapter. Examples are included wherever seen to be relevant. It is suitable for senior undergraduate students, graduate students,researchers who deal with subjects of fuzzy algebra and fuzzy algebraic topology. It requires the reader only to have a familiarity with the topics developed in Basic Commutative Algebra.
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