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Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

  • Book
  • © 2010

Overview

Editors:
  1. Giovanni Naldi

    1. Dipartimento di Matematica, Università di Milano, Milano, Italy

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  2. Lorenzo Pareschi

    1. Dipartimento di Matematica, Università di Ferrara, Ferrara, Italy

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    You can also search for this editor in PubMed   Google Scholar

  3. Giuseppe Toscani

    1. Dipartimento di Matematica, Università di Pavia, Pavia, Italy

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  • A comprehensive and concise presentation of current research from experts in various disciplines compiled in one volume
  • Applications to a variety of disciplines including finance, social science, and the life sciences
  • Broad range of topics covered: analysis of wealth distribution, dynamics of price formation, spreading of opinions, models of social behavior, population dynamics, and aggregation and swarming
  • Includes supplementary material: sn.pub/extras

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-x
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  2. Economic modelling and financial markets

    1. Front Matter

      Pages 1-1
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    2. Agent-based models of economic interactions

      • Anirban Chakraborti, Guido Germano
      Pages 3-29

    3. On kinetic asset exchange models and beyond: microeconomic formulation,trade network, and all that

      • Arnab Chattejee
      Pages 31-50

    4. Microscopic and kinetic models in financial markets

      • Stephane Cordier, Dario Maldarella, Lorenzo Pareschi, Cyrille Piatecki
      Pages 51-80

    5. A mathematical theory for wealth distribution

      • Bertram Düring, Daniel Matthes
      Pages 81-113

    6. Tolstoy’s dream and the quest for statistical equilibrium in economics and the social sciences

      • Ubaldo Garibaldi, Enrico Scalas
      Pages 115-133

  3. Social modelling and opinion formation

    1. Front Matter

      Pages 135-135
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    2. New perspectives in the equilibrium statistical mechanics approach to social and economic sciences

      • Elena Agliari, Adriano Barra, Raffaella Burioni, Pierluigi Contucci
      Pages 137-174

    3. Kinetic modelling of complex socio-economic systems

      • Giulia Ajmone Marsan
      Pages 175-201

    4. Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion

      • Giacomo Aletti, Ahmad K. Naimzada, Giovanni Naldi
      Pages 203-221

    5. Global dynamics in adaptive models of collective choice with social influence

      • Gian-Italo Bischi, Ugo Merlone
      Pages 223-244

    6. Modelling opinion formation by means of kinetic equations

      • Laurent Boudin, Francesco Salvarani
      Pages 245-270

  4. Human behavior and swarming

    1. Front Matter

      Pages 271-271
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    2. On the modelling of vehicular traffic and crowds by kinetic theory of active particles

      • Nicola Bellomo, Abdelghani Bellouquid
      Pages 273-296

    3. Particle, kinetic, and hydrodynamic models of swarming

      • José A. Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil
      Pages 297-336

    4. Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 337-364

    5. Statistical physics and modern human warfare

      • Alex Dixon, Zhenyuan Zhao, Juan Camilo Bohorquez, Russell Denney, Neil Johnson
      Pages 365-396

    6. Diffusive and nondiffusive population models

      • Ansgar Jüngel
      Pages 397-425

  5. Back Matter

    Pages 427-435
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Keywords

About this book

Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Milano, Milano, Italy

    Giovanni Naldi

  • Dipartimento di Matematica, Università di Ferrara, Ferrara, Italy

    Lorenzo Pareschi

  • Dipartimento di Matematica, Università di Pavia, Pavia, Italy

    Giuseppe Toscani

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