The Golden Rule of Ethics: A Dynamic Game-Theoretic Framework Based on Berge Equilibrium

ISBN-13: 9780367681791 / Angielski / Twarda / 2021 / 306 str.

Vladislav I. Zhukovskiy; Mindia E. Salukvadze

Opis

This book synthesizes the game-theoretic modeling of decision-making processes and an ancient moral requirement, called the Golden Rule of ethics. Of interest to undergraduate and graduate students and experts in the field of decision-making in complex control and management systems, or anyone interested in game theory and applications.

Spis treści

Introduction. 1. Compendium. 2. Mathematical Model of the Golden Rule of Ethics in Form of Differential Positional Game Part I Games with Separated Dynamics. Part II Linear-Quadratic Game with Small Influence of One Player on the Rate of Change of State Vector. 3. Berge Equilibria in Multistage Games. Appendix 1 Exercises, Problems, and Solution Tips. Appendix 2 Pareto Equilibrium in Threats and Counter-Threats for a Differential Three-Player Game. Appendix 3 Guaranteed Solution for Risk-Neutral Decision-Maker: An Analog of Maximin in Single-Criterion Choice Problems. Appendix 4 The Concept of Strong Coalitional Equilibrium. Bibliography.