The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics
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The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics
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Author : Mindia E. Salukvadze
language : en
Publisher: Springer Nature
Release Date : 2020-02-18
The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics written by Mindia E. Salukvadze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-18 with Mathematics categories.
The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium. The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
The Golden Rule Of Ethics
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Author : Vladislav I. Zhukovskiy
language : en
Publisher: CRC Press
Release Date : 2021-04-15
The Golden Rule Of Ethics written by Vladislav I. Zhukovskiy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.
This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement called the Golden Rule of ethics (GR). This rule states "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread, and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. This book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book by the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: 1) a modification of N.N. Krasovskii’s mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; 2) the method of guiding control, proposed by N.N. Krasovskii; and 3) the Germier convolution of the payoff functions of different players. Additionally, this book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2 to 4. This book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications.
The Golden Rule Of Ethics
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Author : VLADISLAV I.. SALUKVADZE ZHUKOVSKIY (MINDIA E.)
language : en
Publisher: CRC Press
Release Date : 2021-04-16
The Golden Rule Of Ethics written by VLADISLAV I.. SALUKVADZE ZHUKOVSKIY (MINDIA E.) and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with categories.
This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement called the Golden Rule of ethics (GR). This rule states "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread, and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. This book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book by the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: 1) a modification of N.N. Krasovskii's mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; 2) the method of guiding control, proposed by N.N. Krasovskii; and 3) the Germier convolution of the payoff functions of different players. Additionally, this book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2 to 4. This book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications.
The Golden Rule Of Ethics
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Author : Vladislav I. Zhukovskiy
language : en
Publisher: CRC Press
Release Date : 2021-04-16
The Golden Rule Of Ethics written by Vladislav I. Zhukovskiy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with Mathematics categories.
This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement called the Golden Rule of ethics (GR). This rule states "Behave to others as you would like them to behave to you." The GR is one of the oldest, most widespread, and specific moral requirements that appear in Christianity, Islam, Judaism, Buddhism, and Confucianism. This book constructs and justifies mathematical models of dynamic socio-economic processes and phenomena that reveal the mechanism of the GR and are based on the concept of Berge equilibrium. The GR can be naturally used for resolving or balancing conflicts, and its "altruistic character" obviously excludes wars, blood-letting, and armed clashes. The previous book by the authors, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, covers the static case of the GR. In this book, the dynamic case of the GR is investigated using the altruistic concept of Berge equilibrium and three factors as follows: 1) a modification of N.N. Krasovskii’s mathematical formalization of differential positional games (DPGs), in view of the counterexamples given by A.I. Subbotin and A.F. Kononenko; 2) the method of guiding control, proposed by N.N. Krasovskii; and 3) the Germier convolution of the payoff functions of different players. Additionally, this book features exercises, problems, and solution tips collected together in Appendix 1, as well as new approaches to conflict resolution as presented in Appendices 2 to 4. This book will be of use to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, as well as anyone interested in game theory and applications.
Mathematical Optimization Theory And Operations Research
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Author : Anton Eremeev
language : en
Publisher: Springer Nature
Release Date : 2024-06-17
Mathematical Optimization Theory And Operations Research written by Anton Eremeev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-17 with Mathematics categories.
This book constitutes the refereed proceedings of the 23rd International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2024, held in Omsk, Russia, during June 30 - July 6, 2024. The 30 full papers included in this book were carefully reviewed and selected from 79 submissions. This book also contains two invited talk. They were organized in topical sections as follows: mathematical programming; combinatorial optimization; game theory; and operations research.
Innovative Computing And Communications
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Author : Aboul Ella Hassanien
language : en
Publisher: Springer Nature
Release Date : 2024-10-02
Innovative Computing And Communications written by Aboul Ella Hassanien and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-02 with Technology & Engineering categories.
This book includes high-quality research papers presented at the Seventh International Conference on Innovative Computing and Communication (ICICC 2024), which is held at the Shaheed Sukhdev College of Business Studies, University of Delhi, Delhi, India, on 16–17 February 2024. Introducing the innovative works of scientists, professors, research scholars, students and industrial experts in the field of computing and communication, the book promotes the transformation of fundamental research into institutional and industrialized research and the conversion of applied exploration into real-time applications.
Mathematical Optimization Theory And Operations Research
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Author : Panos Pardalos
language : en
Publisher: Springer Nature
Release Date : 2021-06-14
Mathematical Optimization Theory And Operations Research written by Panos Pardalos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-14 with Computers categories.
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.
System Analysis In Engineering And Control
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Author : Yuriy S. Vasiliev
language : en
Publisher: Springer Nature
Release Date : 2022-04-16
System Analysis In Engineering And Control written by Yuriy S. Vasiliev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-16 with Technology & Engineering categories.
This book covers the results of research that has been obtained during the last decades by scholars representing several scientific schools working in the field of theory of systems and system analysis. In the book chapters, attention is paid to the development of the general theory of systems’ provisions, approaches, models, and methods of system analysis; such as the concepts of an open system and adaptive systems; the concepts of “the movable equilibrium” and “disequilibrium”, the approach of “growing” the system and its developing through innovations; the system-target approach, systems’ regularities; ontological, cognitive and logical-linguistic models of systems, etc. The book includes parts devoted to the general theoretical and philosophical-methodological problems of systems theory; methods and models of system analysis; innovation technologies in technical and socioeconomic systems; system analyses in the educational process, and higher education management. The materials of the book may be of interest to researchers and specialists working in the field of systems analysis, engineering, computer technologies, including human–computer interaction in socio-technical systems; for the representatives of the academic and engineering society.
Optimization Simulation And Control
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Author : Rentsen Enkhbat
language : en
Publisher: Springer Nature
Release Date : 2023-10-30
Optimization Simulation And Control written by Rentsen Enkhbat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.
This volume gathers selected, peer-reviewed works presented at the 7th International Conference on Optimization, Simulation and Control, ICOSC 2022, held at the National University of Mongolia, Ulaanbaatar, June 20–22, 2022. Topics covered include (but are not limited to) mathematical programming; network, global, linear, nonlinear, parametric, stochastic, and multi-objective optimization; control theory; biomathematics; and deep and machine learning, to name a few. Held every three years since 2002, the ICOSC conference has become a traditional gathering for experienced and young researchers in optimization and control to share recent findings in these fields and discuss novel applications in myriad sectors. Researchers and graduate students in the fields of mathematics, engineering, and computer science can greatly benefit from this book, which can also be enjoyed by advanced practitioners in research laboratories and the industry. The 2022 edition of the ICOSC conference was sponsored by the Mongolian Academy of Sciences, the National University of Mongolia and the German-Mongolian Institute for Resources and Technology.
A Guide To Game Theory
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Author : Fiona Carmichael
language : en
Publisher: Pearson Education
Release Date : 2005
A Guide To Game Theory written by Fiona Carmichael and has been published by Pearson Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Business & Economics categories.
Game theory can be used to analyse strategic problems in diverse settings, and its application is not limited to a single discipline such as economics or business studies. This guide reflects this interdisciplinary potential to provide an introductory overview of the subject.