Operation Research: Theory Of Games And Travelling Root Problem


Book Description

This book on Operation Research has been specially written to meet the requirements of the M.Sc., and M.B.A., students for all Indian Universities. Contents: Theory of Games, Information Theory, Introduction to Simplex Method, Travelling Root Problem, Classical Optimisation Methods.




Game Theoretical Applications to Economics and Operations Research


Book Description

Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR related problems. It brings together the contributions of a wide spectrum of disciplines such as Statistics, Mathematics, Mathematical Economics and OR. The contributions include decision theory, stochastic games, cooperative and noncooperative games. The papers in the volume are classified under five different sections. The first four sections are devoted to the theory of two-person games, linear complimentarity problems and game theory, cooperative and noncooperative games. The fifth section contains diverse applications of these various theories. Taken together they exhibit a rich versatility of these theories and lively interaction between the mathematical theory of games and significant economic problems.




Introduction to the Theory of Games


Book Description

Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.




Game Theory with Applications in Operations Management


Book Description

This book combines game theory with critical applications in operations and supply chain management. The recognition and adoption of game-theoretic modelling for operations and supply chain management problems in multi-agent settings have been a hallmark of research in operations and supply chain literature during the last few years. Despite research in operations and supply chain management having embraced both non-cooperative and cooperative game-theoretic solution concepts, there is still an abundance of underutilized concepts and tools in game theory that could strongly influence the operations management problems. The objective of this book is to provide a broad picture of solution concepts that are highly applicable to operations and supply chain settings, and to explicate these concepts with some of the relevant problems in operations management in multi-agent settings, often with conflicting objectives. The book discusses different strategic situations like games in normal form, games in extensive form, games of incomplete information, repeated games, mechanism design, and cooperative games, to solve operations problems of supply chain coordination, capacity planning, revenue and pricing management, and other complex problems of matching supply with demand. With the increasing digitization of supply chain and manufacturing, the narrative of the problems in these areas is focusing on additive and cooperative manufacturing, blockchain and smart contracts, online platforms, and shared economy. The book profits from the fact that these new issues are predominantly multi-agent settings, and lend into game-theoretical solution concepts. The intended audience of the book are research community and graduate students of operations & supply chain management, economics, mathematics, computer science, and manufacturing & industrial engineering. The book is also relevant for practitioners who use multi-agent architecture in business problems.




Two-person Zero-sum Games


Book Description




Durable-Strategies Dynamic Games


Book Description

Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies. This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics. "Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications." Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign "Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort." Vladimir Turetsky, Professor, Ort Braude College “Durable-strategies Dynamic Games is truly a world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.” Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games




Operational Gaming


Book Description

Operational Gaming: An International Approach is the result of research carried out at the International Institute for Applied Systems Analysis (IIASA) situated at Laxenburg (near Vienna), Austria, which relates game theory and system analysis to decision making. The book first shows the relationship of game theory, experimental gaming, and operational gaming through a state-of-the-art survey. This topic includes the history, context, type, and uses of gaming. Then, the text shifts to the discussion on operational gaming, including the definitions of institutional model and game situation concepts. An overview of gaming in different nations including USSR is provided. The book also studies the international transfer of games and the East-West international trade games. The future of this field of study, as well as its implications for humans, is also examined in the latter parts. This book will be of significance to those interested in game theories and those people involved in policy and decision making in their country or organization.




Search Games and Other Applications of Game Theory


Book Description

This book is on applications of game theory. The title of this book is not "Game Theory and its Applications" because it does not construct a general theory for considered games. The book contains a lot of examples of applica tion of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form. This book is an attempt to carryon the approach developed in nice books "Search Games" by Gal and "Geometric Games and their Applications" by Ruckle. The first chapter of this book supplies the required definitions and theorems from game theory. The second chapter deals with discrete search games where both players act simultaneously: the games of protection of a channel from infiltration of a submarine, the submarine versus helicopter game, the matrix search games and others. The third chapter considers the game where the players allocate their contin uous efforts. In these games players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it. In the last case the player have to decide how much resources they can afford to spend. The allocation models of search, antiballistic protection and marketing are investigated.




Foundations of Game Theory


Book Description




World Encyclopaedia of Nations and Nationalities


Book Description

The origins and development of the fascinating variety of continents, countries and communities of the world are the engrossing subjects of the present prize set of 17 Vols. in 34 Parts of the encyclopaedia. With marvelously lucid text and equally graphic illustrations, the writers and editors present a panoramic account of the splendid variety of the family of mankind, its numerous and varied habitations, its physical, human and economic geography of man and his activities, and the living dynamic relation that mankind had with fellow communities across land and sea as well as with the planet that sustains all of them. The World Encyclopaedia of Nations and Nationalities opens to students, teachers and general readers a vast and beautiful window onto the great as well as the little known customs, manners and cultures of the world, reveals the universal geographical features and singularities of all countries in the continents, the introduces in vivid detail the many kind of inhabitants that are found world-wide. Not only is this brilliantly conceived encyclopaedia the pride of many libraries across the world, but it is also regarded as an apt companion and complement to the earlier historic work of Darwin, namely, Origin of the Species. In its comprehensive sweep and vibrant treatment the present the present volumes of this encyclopaedia will be an essential part of all libraries.