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OverviewThis 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. Full Product DetailsAuthor: Francesco dell'IsolaPublisher: Springer Verlag, Singapore Imprint: Springer Verlag, Singapore Edition: 1st ed. 2019 Weight: 0.454kg ISBN: 9789811394782ISBN 10: 9811394784 Pages: 164 Publication Date: 01 August 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPREFACE A DICTATOR MUST ALWAYS EXIST MANY PERSONS BELIEVE THAT MATHEMATICS IS TOO ABSTRACT A SCIENCE TO BE REALLY USEFUL. DICTATORS OR OPINION LEADERS ? IS IT POSSIBLE TO FIND A DEMOCRATIC METHOD FOR THE DETERMINATION OF SOCIAL CHOICES ? A QUESTION OF RULES OR, MATHEMATICALLY SPEAKING, A QUESTION OF ALGORITHMS CONSIDERATIONS ON THE PRACTICAL USE OF POSSIBLE SOLUTIONS OF CONDORCET PROBLEM IN POLITICS A FIRST INFORMAL FORMULATION OF ARROW THEOREM THE MATHEMATICAL MODEL FOR A CHOICE: TOTAL ORDER RELATIONS A SECOND, MORE PRECISE, FORMULATION OF ARROW THEOREM MONOTONICITY AND INDEPENDENCE OF IRRELEVANT ORDER ARROW'S THEOREM IS A POWERFUL TOOL FOR UNDERSTANDING MANY SOCIAL PHENOMENA ARROW’S THEOREM AND THE SELECTION OF SUPER ALPHA INDIVIDUALS ARROW THEOREM AS A TOOL FOR UNDERSTANDING HISTORY ARROW THEOREM AS THE FIRST MATHEMATICAL RESULT IN PSICO-HISTORY “A PRIORI” IMPOSED SOCIAL CHOICES, ALTERNATIVES WHICH MAY BE RELEVANT, AND INSTITUTIONAL SYSTEMS INCAPABLE TO DECIDE KING, EMPERORS, (ABSOLUTE) MONARCHS AND DESPOTS DEMOCRACY AS A POSSIBLE ALTERNATIVE CATHERINE THE GREAT AND GENGHIS KHAN: POWER HAS NO GENDER GENGHIS KHAN CATHERINE THE GREAT, EMPRESS AND AUTOCRAT OF ALL THE RUSSIAS SOME INITIAL CONCLUSIONS ABOUT THE RELATIONSHIP BETWEEN POWER AND GENDER SOME OPEN PROBLEMS FOR A GENERAL MATHEMATICAL THEORY OF SOCIAL STRUCTURES A CASUAL LIST OF PROBLEMS WHICH COULD BE TREATED BY THE THEORY OF SOCIAL STRUCTURES PLATO’S REPUBLIC: A PRISTINE TEXTBOOK IN SOCIAL SCIENCES A QUEST OF PHENOLOGICAL BASIS FOR FUTURE THEORETICAL DEVELOPMENTS PHENOMENOLOGY OF LEADERSHIP LEADERSHIPS AND UNIFICATIONS: ANALYSIS OF AN HISTORICAL NECESSITY SOUTHERN VERSUS NORTHERN LEADERS LEADERS FROM SOUTH AIM AT UNREACHABLE IDEALS? AN EXEMPLARY IDEALISTIC SOUTHERNER: CARLO FILANGIERI THE MAIN EVENTS IN THE LIFE OF CARLO FILANGIERI A REAPPRAISAL OF THE RES GESTAE (i.e. THE DEEDS) OF CARLO FILANGIERI THE TALENTS NEEDED TO BE A WINNER: POWER IS THE PRIZE FOR MACHIAVELLIAN BEHAVIOUR CAMILLO BENSO, COUNT OF CAVOUR: THE HETEROGENESIS OF ENDS A SHORT LIST OF THE ACHIEVEMENTS OF CAVOUR PHENOMENOLOGY OF DICTATORSHIP THE WEAKNESSES OF TWO SICILIES AS EXPLOITED BY CAVOUR AND GARIBALDI THOSE MASTERS OF DUPLICITY WHO SURRENDERED NAPLES 83 DON PASQUALE THE WIFE OF DON PASQUALE PATROCLUS PETRONS: THE PUPPET OF THE CRYPTO-DICTATOR A TENTATIVE EXPLANATION OF SOME OF DESCRIBED PHENOMENA BASED ON THE CONCEPT OF NASH EQUILIBRIUM GAME THEORY: A POWERFUL CONCEPTUAL TOOL (STABLE) EQUILIBRIUM CONFIGURATIONS NON-UNIQUENESS OF EQUILIBRIA STRATEGIES IN A GAME NASH EQUILIBRIUM SOME TENTATIVE APPLICATIONS OF NASH THEOREM MIXED RANDOM STRATEGIES IS THE PHENOMENOLOGY OF THE DICTATOR AND OF THE LEADER OBSERVED ONLY IN HUMAN GROUPS ? MAMA, TESTOSTERONE AND DICTATORS YEROEN, NIKKIE, LUIT: MALE COMPETITION FOR POWER UNMASKING HUMAN BEHAVIOUR KANZI, THE BONOBO: A MESSAGE OF HOPE PHENOMENOLOGY OF SERVITUDE PART I. WHY DO PEOPLE OBEY A GOVERNMENT PART II. LIBERTY IS THE NATURAL CONDITION OF THE PEOPLE PART III. THE FOUNDATION OF TYRANNY SERVITUDE AS AN INNATE INSTINCT MONTESQUIEU: THE POSSIBLE DEMOCRACY TOWARDS A RATIONAL THEORY OF CONSTITUTIONS THE DIVISION OF POWERS IMAGINED BY MONTESQUIEU MORE SOPHISTICATED MATHEMATICAL THEORIES ARE NEEDED APPENDIX 1. THE STORY OF TWO WORDS: DICTATOR/TYRANT APPENDIX 2. MORE DETAILS ABOUT THE MATHEMATICAL STRUCTURE OF THE THEOREM OF DICTATOR INDIVIDUAL OR SOCIAL CHOICES AMONG SEVERAL OPTIONS OPTIONS PREFERRED TO ALL OPTIONS IN A SPECIFIC SET RATIONAL CHOICE, IN THE SENSE OF ARROW (STRICTLY) PREFERRED AND INDIFFERENT OPTIONS VOTES IN A SOCIAL GROUP SOCIAL CHOICE FUNCTION AND ITS PROPERTIES ARROW’S THEOREM ON POSSIBLE FUNCTIONS OF SOCIAL CHOICEReviewsA kaleidoscope of observations and ideas: it runs the gamut from the German king and Roman emperor Friedrich II von Hohenstaufen- stupor mundi, and close to the hearts and minds of the people of southern Italy ... . The text is written in a forceful though unusual style- not always traditionally English- and it is a pleasure to read; hard to put down. (Ingo Mueller, Mathematical Modelling of Natural Phenomena, Vol. 15, 2020) “A kaleidoscope of observations and ideas: it runs the gamut from the German king and Roman emperor Friedrich II von Hohenstaufen- stupor mundi, and close to the hearts and minds of the people of southern Italy … . The text is written in a forceful though unusual style- not always traditionally English- and it is a pleasure to read; hard to put down.” (Ingo Mueller, Mathematical Modelling of Natural Phenomena, Vol. 15, 2020) Author InformationProf. Francesco dell’Isola is co-author of more than 164 papers (indexed in Scopus). He was editor or co-author of 5 technical books published in Springer Nature, also. He supervised or co-supervised more than 20 Ph.D. students and 10 postdoctoral projects. He gave more than 70 invited lectures in several universities and international conferences and has been Visiting Professor in more than 7 universities (France, USA, and Russia). In 2018, he has been Russell Severance Springer Professor at the University of California, Berkeley. His research interests are in several fields of theoretical mechanics and applied mathematics: the common techniques used are variational principles, as a heuristic tool for formulating mathematical models. In particular, he has studied the possible applications of Lagrangian mechanics methods to social sciences and economy and the present book popularises some of the most important results in this field. Tab Content 6Author Website:Countries AvailableAll regions |
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