Big-(Wo)men, Tyrants, Chiefs, Dictators, Emperors and Presidents: Towards the Mathematical Understanding of Social Groups

Description

This book highlights mathematical ideas to help explain a number of important aspects of the dynamics of social groups. These ideas are similar to those used to describe the behaviour of Lagrangian mechanical systems, and as such this book appeals to anyone wanting to gain an understanding of the intrinsic unity of natural phenomena. Front Matter ....Pages i-xxi A Dictator Must Always Exist (Francesco dell’Isola)....Pages 1-12 Arrow’s Theorem Is a Powerful Tool for Understanding Many Social Phenomena (Francesco dell’Isola)....Pages 13-28 Catherine the Great and Genghis Khan: Power Has No Gender (Francesco dell’Isola)....Pages 29-35 Some Open Problems For A General Mathematical Theory Of Social Structures (Francesco dell’Isola)....Pages 37-41 Phenomenology of Leadership (Francesco dell’Isola)....Pages 43-65 Phenomenology of Dictatorship (Francesco dell’Isola)....Pages 67-92 A Tentative Explanation of Some of Described Phenomena Based on the Concept of Nash Equilibrium (Francesco dell’Isola)....Pages 93-105 Is the Phenomenology of the Dictator and of the Leader Observed Only in Human Groups? (Francesco dell’Isola)....Pages 107-118 Phenomenology of Servitude (Francesco dell’Isola)....Pages 119-131 Montesquieu: The Possible Democracy (Francesco dell’Isola)....Pages 133-138 Back Matter ....Pages 139-164