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The Golden Rule of Ethics - A Dynamic Game-Theoretic Framework Based on Berge Equilibrium (Hardcover)
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The Golden Rule of Ethics - A Dynamic Game-Theoretic Framework Based on Berge Equilibrium (Hardcover)
Series: Communications in Cybernetics, Systems Science and Engineering
Expected to ship within 9 - 15 working days
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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.
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