Author: Mindia E. Salukvadze Publisher: Springer Nature ISBN: 3030255468 Category : Mathematics Languages : en Pages : 290
Book Description
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 Publisher: CRC Press ISBN: 1000370771 Category : Mathematics Languages : en Pages : 237
Book Description
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.) Publisher: CRC Press ISBN: 9780367681791 Category : Languages : en Pages : 320
Book Description
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: Yuriy S. Vasiliev Publisher: Springer Nature ISBN: 3030988325 Category : Technology & Engineering Languages : en Pages : 619
Book Description
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 Publisher: Springer Nature ISBN: 303141229X Category : Mathematics Languages : en Pages : 202
Book Description
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: Rami Shapiro Publisher: ISBN: 9781458767387 Category : Languages : en Pages : 266
Book Description
Does the Golden Rule matter? It depends on the game. ''We have to shift the game before we can promote the Rule. This is why teaching morality alone is insufficient. Educating our children in the Golden Rule without teaching about finite and infinite games and zero - sum and nonzero worldviews is a waste of time. Doing so would be like teaching them the rules of chess while insisting they play only checkers.'' - from Chapter 10, ''Play Different'' This provocative and challenging exploration of the Golden Rule, widely accepted as humanity's moral true north, neither praises the Rule uncritically nor naively insists that it is applicable in every situation. Rather, it looks critically at the Rule in the context of game theory to see where it works and where it doesn't, when it is applicable and when it isn't. It shows you why knowing the difference can offer you a powerful way to transform your life from one driven by fear to one driven by love. This philosophical game changer is written for people of all faiths or none who praise the Rule and yet violate it over and over again. It invites you into the fascinating world of ethical decision making in a way that helps you use the Golden Rule as a fulcrum for shifting your life from often unethical competition to compassionate and even loving cooperation.
Author: Rabbi Rami Shapiro Publisher: Turner Publishing Company ISBN: 1594736065 Category : Self-Help Languages : en Pages : 183
Book Description
Does the Golden Rule matter? It depends on the game. "We have to shift the game before we can promote the Rule. This is why teaching morality alone is insufficient. Educating our children in the Golden Rule without teaching about finite and infinite games and zero-sum and nonzero worldviews is a waste of time. Doing so would be like teaching them the rules of chess while insisting they play only checkers." ―from Chapter 10, “Play Different” This provocative and challenging exploration of the Golden Rule, widely accepted as humanity's moral true north, neither praises the Rule uncritically nor naively insists that it is applicable in every situation. Rather, it looks critically at the Rule in the context of game theory to see where it works and where it doesn’t, when it is applicable and when it isn’t. It shows you why knowing the difference can offer you a powerful way to transform your life from one driven by fear to one driven by love. This philosophical game changer is written for people of all faiths or none who praise the Rule and yet violate it over and over again. It invites you into the fascinating world of ethical decision making in a way that helps you use the Golden Rule as a fulcrum for shifting your life from often unethical competition to compassionate and even loving cooperation.
Author: Paul Weirich Publisher: Oxford University Press ISBN: 019974145X Category : Philosophy Languages : en Pages : 283
Book Description
Groups of people perform acts that are subject to standards of rationality. A committee may sensibly award fellowships, or may irrationally award them in violation of its own policies. A theory of collective rationality defines collective acts that are evaluable for rationality and formulates principles for their evaluation. This book argues that a group's act is evaluable for rationality if it is the products of acts its members fully control. It also argues that such an act is collectively rational if the acts of the group's members are rational. Efficiency is a goal of collective rationality, but not a requirement, except in cases where conditions are ideal for joint action and agents have rationally prepared for joint action. The people engaged in a game of strategy form a group, and the combination of their acts yields a collective act. If their collective act is rational, it constitutes a solution to their game. A theory of collective rationality yields principles concerning solutions to games. One principle requires that a solution constitute an equilibrium among the incentives of the agents in the game. In a cooperative game some agents are coalitions of individuals, and it may be impossible for all agents to pursue all incentives. Because rationality is attainable, the appropriate equilibrium standard for cooperative games requires that agents pursue only incentives that provide sufficient reasons to act. The book's theory of collective rationality supports an attainable equilibrium-standard for solutions to cooperative games and shows that its realization follows from individuals' rational acts. By extending the theory of rationality to groups, this book reveals the characteristics that make an act evaluable for rationality and the way rationality's evaluation of an act responds to the type of control its agent exercises over the act. The book's theory of collective rationality contributes to philosophical projects such as contractarian ethics and to practical projects such as the design of social institutions.
Author: Roger Caillois Publisher: University of Illinois Press ISBN: 9780252070334 Category : Games & Activities Languages : en Pages : 228
Book Description
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: Mindia E. Salukvadze
Author: Vladislav I. Zhukovskiy
Author: VLADISLAV I.. SALUKVADZE ZHUKOVSKIY (MINDIA E.)
Author: Anton Eremeev
Author: Yuriy S. Vasiliev
Author: Rentsen Enkhbat
Author: Rami Shapiro
Author: Rabbi Rami Shapiro
Author: Paul Weirich
Author: Roger Caillois