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Differential games. --- Noncooperative games (Mathematics) --- Jeux différentiels --- Jeux non coopératifs (Mathématiques) --- Differential games --- 519.83 --- Games, Noncooperative (Mathematics) --- Non-cooperative games (Mathematics) --- Game theory --- Games, Differential --- Theory of games --- 519.83 Theory of games

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This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Game Theory/Mathematical Methods. --- Economics, Mathematical. --- Mathématiques --- Mathématiques économiques --- Noncooperative games (Mathematics) --- Algebra --- Economic Theory --- Business & Economics --- Mathematics --- Physical Sciences & Mathematics --- Games, Noncooperative (Mathematics) --- Non-cooperative games (Mathematics) --- Game theory. --- Game Theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Math --- Science

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This book proposes novel methods for solving different types of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. It starts by discussing several existing methods and shows that some mathematically incorrect assumptions have been considered in all these methods. It then proposes solutions to adapt those methods and validate the new proposed methods, such as Gaurika method Ambika-I-IV, Mehar method and others, by using them for solving existing numerical problems. The book offers a comprehensive guide on non-cooperative games with fuzzy payoffs to both students and researchers. It provides them with the all the necessary tools to understand the methods and the theory behind them. .

Engineering. --- Mathematics. --- Operations research. --- Mathematical optimization. --- Computational Intelligence. --- Game Theory, Economics, Social and Behav. Sciences. --- Operations Research/Decision Theory. --- Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Math --- Science --- Construction --- Industrial arts --- Technology --- Noncooperative games (Mathematics) --- Fuzzy mathematics. --- Games, Noncooperative (Mathematics) --- Non-cooperative games (Mathematics) --- Game theory --- Mathematics --- Computational intelligence. --- Game theory. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Games, Theory of --- Theory of games --- Mathematical models --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Decision making