The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics

Author : Mindia E. Salukvadze,Vladislav I. Zhukovskiy
Publisher : Springer Nature
Page : 290 pages
File Size : 53,7 Mb
Release : 2020-02-18
Category : Mathematics
ISBN : 9783030255466

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The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics by Mindia E. Salukvadze,Vladislav I. Zhukovskiy Pdf

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.

Author : Vladislav I. Zhukovskiy,Mindia E. Salukvadze
Publisher : CRC Press
Page : 237 pages
File Size : 53,6 Mb
Release : 2021-04-16
Category : Mathematics
ISBN : 9781000370775

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The Golden Rule of Ethics by Vladislav I. Zhukovskiy,Mindia E. Salukvadze Pdf

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.

Author : VLADISLAV I.. SALUKVADZE ZHUKOVSKIY (MINDIA E.),Mindia E Salukvadze
Publisher : CRC Press
Page : 320 pages
File Size : 42,9 Mb
Release : 2021-04-16
Category : Electronic
ISBN : 036768179X

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The Golden Rule of Ethics by VLADISLAV I.. SALUKVADZE ZHUKOVSKIY (MINDIA E.),Mindia E Salukvadze Pdf

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.

Author : Anton Eremeev
Publisher : Springer Nature
Page : 484 pages
File Size : 47,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031627927

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Mathematical Optimization Theory and Operations Research by Anton Eremeev Pdf

Author : Panos Pardalos,Michael Khachay,Alexander Kazakov
Publisher : Springer Nature
Page : 510 pages
File Size : 54,9 Mb
Release : 2021-06-14
Category : Computers
ISBN : 9783030778767

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Mathematical Optimization Theory and Operations Research by Panos Pardalos,Michael Khachay,Alexander Kazakov Pdf

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.

Author : Yuriy S. Vasiliev,Nataliya D. Pankratova,Violetta N. Volkova,Olga D. Shipunova,Nikolay N. Lyabakh
Publisher : Springer Nature
Page : 619 pages
File Size : 49,7 Mb
Release : 2022-04-16
Category : Technology & Engineering
ISBN : 9783030988326

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System Analysis in Engineering and Control by Yuriy S. Vasiliev,Nataliya D. Pankratova,Violetta N. Volkova,Olga D. Shipunova,Nikolay N. Lyabakh Pdf

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.

Author : Rentsen Enkhbat,Altannar Chinchuluun,Panos M. Pardalos
Publisher : Springer Nature
Page : 202 pages
File Size : 45,8 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031412295

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Optimization, Simulation and Control by Rentsen Enkhbat,Altannar Chinchuluun,Panos M. Pardalos Pdf

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.

Author : W. Leinfellner,Eckehart Köhler
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 44,8 Mb
Release : 1998-02-28
Category : Business & Economics
ISBN : 0792349431

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Game Theory, Experience, Rationality by W. Leinfellner,Eckehart Köhler Pdf

When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.

Author : Paul Weirich
Publisher : Cambridge University Press
Page : 253 pages
File Size : 52,9 Mb
Release : 1998-01-28
Category : Business & Economics
ISBN : 9780521593526

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Equilibrium and Rationality by Paul Weirich Pdf

This major contribution to game theory offers this conception of equilibrium in games: strategic equilibrium.

Author : Valeriu Ungureanu
Publisher : Springer
Page : 343 pages
File Size : 41,7 Mb
Release : 2018-03-09
Category : Technology & Engineering
ISBN : 9783319751511

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Pareto-Nash-Stackelberg Game and Control Theory by Valeriu Ungureanu Pdf

This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Author : Roger Caillois
Publisher : University of Illinois Press
Page : 228 pages
File Size : 42,8 Mb
Release : 2001
Category : Games & Activities
ISBN : 025207033X

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Man, Play, and Games by Roger Caillois Pdf

According to Roger Caillois, play is an occasion of pure waste. In spite of this - or because of it - play constitutes an essential element of human social and spiritual development. In this study, the author defines play as a free and voluntary activity that occurs in a pure space, isolated and protected from the rest of life.

Author : Dominique Bodin,Gaelle Sempé
Publisher : Council of Europe
Page : 202 pages
File Size : 52,7 Mb
Release : 2011-01-01
Category : Sports & Recreation
ISBN : 9287170770

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Ethics and Sport in Europe by Dominique Bodin,Gaelle Sempé Pdf

Defending ethics in sport is vital in order to combat the problems of corruption, violence, drugs, extremism and other forms of discrimination it is currently facing. Sport reflects nothing more and nothing less than the societies in which it takes place. However, if sport is to continue to bring benefits for individuals and societies, it cannot afford to neglect its ethical values or ignore these scourges. The major role of the Council of Europe and the Enlarged Partial Agreement on Sport (EPAS) in addressing the new challenges to sports ethics was confirmed by the 11th Council of Europe Conference of Ministers responsible for Sport, held in Athens on 11 and 12 December 2008. A political impetus was given on 16 June 2010 by the Committee of Ministers, with the adoption of an updated version of the Code of Sports Ethics (Recommendation CM/Rec(2010)9), emphasising the requisite co-ordination between governments and sports organisations. The EPAS prepared the ministerial conference and stepped up its work in an international conference organised with the University of Rennes, which was attended by political leaders, athletes, researchers and officials from the voluntary sector. The key experiences described in the conference and the thoughts that it prompted are described in this publication. All the writers share the concern that the end result should be practical action - particularly in terms of the setting of standards - that falls within the remit of the EPAS and promotes the Council of Europe's core values.

Author : Hannah Arendt,Jerome Kohn
Publisher : Penguin
Page : 320 pages
File Size : 52,7 Mb
Release : 2006-09-26
Category : Philosophy
ISBN : 9781101662656

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Between Past and Future by Hannah Arendt,Jerome Kohn Pdf

From the author of Eichmann in Jerusalem and The Origins of Totalitarianism, “a book to think with through the political impasses and cultural confusions of our day” (Harper’s Magazine) Hannah Arendt’s insightful observations of the modern world, based on a profound knowledge of the past, constitute an impassioned contribution to political philosophy. In Between Past and Future Arendt describes the perplexing crises modern society faces as a result of the loss of meaning of the traditional key words of politics: justice, reason, responsibility, virtue, and glory. Through a series of eight exercises, she shows how we can redistill the vital essence of these concepts and use them to regain a frame of reference for the future. To participate in these exercises is to associate, in action, with one of the most original and fruitful minds of the twentieth century.

Author : Elinor Ostrom
Publisher : Princeton University Press
Page : 376 pages
File Size : 49,9 Mb
Release : 2009-11-13
Category : Political Science
ISBN : 9781400831739

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Understanding Institutional Diversity by Elinor Ostrom Pdf

The analysis of how institutions are formed, how they operate and change, and how they influence behavior in society has become a major subject of inquiry in politics, sociology, and economics. A leader in applying game theory to the understanding of institutional analysis, Elinor Ostrom provides in this book a coherent method for undertaking the analysis of diverse economic, political, and social institutions. Understanding Institutional Diversity explains the Institutional Analysis and Development (IAD) framework, which enables a scholar to choose the most relevant level of interaction for a particular question. This framework examines the arena within which interactions occur, the rules employed by participants to order relationships, the attributes of a biophysical world that structures and is structured by interactions, and the attributes of a community in which a particular arena is placed. The book explains and illustrates how to use the IAD in the context of both field and experimental studies. Concentrating primarily on the rules aspect of the IAD framework, it provides empirical evidence about the diversity of rules, the calculation process used by participants in changing rules, and the design principles that characterize robust, self-organized resource governance institutions.

Author : Vladislav I Zhukovskiy
Publisher : CRC Press
Page : 308 pages
File Size : 48,5 Mb
Release : 2003-01-16
Category : Mathematics
ISBN : 0415273412

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Lyapunov Functions in Differential Games by Vladislav I Zhukovskiy Pdf

A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theory. This approach, which combines dynamic programming and the Lyapunov function method, leads to coefficient criteria, or ratios of the game math model parameters with which optimal strategies of the players not only exist but their analytical form can be specified. In this book coefficient criteria are derived for numerous new and relevant problems in the theory of linear-quadratic multi-player differential games. Those criteria apply when the players formulate their strategies independently (non co-operative games) and use non-Nash equilibria or when the game model recognizes noise, perturbation and other uncertainties of which only their ranges are known (differential games under uncertainty). This text is useful for researchers, engineers and students of applied mathematics, control theory and the engineering sciences.