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

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series

Editors: Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe

DOI: 10.1007/978-0-8176-4946-3

ISBN: 978-0-8176-4945-6

Publisher: Birkhäuser Boston - Springer Journals

Jun 6, 2010

1 - 10 of 15 Chapters

Available

Agent-based models of economic interactions

Chakraborti, Anirban; Germano, Guido

Pages: 3 –29

[The interdisciplinary field of econophysics has enjoyed recently a surge of activities especially with numerous agent-based models, which have led to a substantial development of this field. We review three main application areas of agent-based models in econophysics: order books, distributions...
Available

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

Chattejee, Arnab

Pages: 31 –50

[We review the kinetic models of asset exchange and report the latest microeconomic formulations. We also discuss the role of topology and disorder in such models. The role of such models from a trading network perspective are also discussed.]
Available

Microscopic and kinetic models in financial markets

Cordier, Stephane; Maldarella, Dario; Pareschi, Lorenzo; Piatecki, Cyrille

Pages: 51 –80

[We review different microscopic and kinetic models of financial markets which have been developed by economists, physicists, and mathematicians in the last years. We first give a summary of the microscopic models and then introduce the corresponding kinetic equations. Our selective review...
Available

A mathematical theory for wealth distribution

Düring, Bertram; Matthes, Daniel

Pages: 81 –113

[We review a qualitative mathematical theory of kinetic models for wealth distribution in simple market economies. This theory is a unified approach that covers a wide class of such models which have been proposed in the recent literature on econophysics. Based on the analysis of the underlying...
Available

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

Garibaldi, Ubaldo; Scalas, Enrico

Pages: 115 –133

[The meaning of the notion of statistical equilibrium in economics is discussed as well as its relevance for economic theory. A simple agent-based model of taxation and redistribution is presented. Its invariant equilibrium distribution is the generalized Pólya sampling distribution. It turns out...
Available

New perspectives in the equilibrium statistical mechanics approach to social and economic sciences

Agliari, Elena; Barra, Adriano; Burioni, Raffaella; Contucci, Pierluigi

Pages: 137 –174

[In this chapter we review some recent development in the mathematical modeling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we develop a theory for particle (agents) interactions on...
Available

Kinetic modelling of complex socio-economic systems

Marsan, Giulia Ajmone

Pages: 175 –201

[This chapter is devoted to the investigation of the complex mechanisms which rule the transition from the behavior of single individuals to the collective behavior of groups of people, in social phenomena. The dynamics of our societies are ruled by many complex socio-economic phenomena, which...
Available

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

Aletti, Giacomo; Naimzada, Ahmad K.; Naldi, Giovanni

Pages: 203 –221

[In this chapter, we briefly review some opinion dynamics models starting from the classical Schelling model and other agent-based modelling examples. We consider both discrete and continuous models and we briefly describe different approaches: discrete dynamical systems and agent-based models,...
Available

Global dynamics in adaptive models of collective choice with social influence

Bischi, Gian-Italo; Merlone, Ugo

Pages: 223 –244

[In this chapter we present a unified approach for modelling the diffusion of alternative choices within a population of individuals in the presence of social externalities, starting from two particular discrete-time dynamic models – Galam’s model of rumors spreading [10] and a formalization of...
Available

Modelling opinion formation by means of kinetic equations

Boudin, Laurent; Salvarani, Francesco

Pages: 245 –270

[In this chapter, we review some mechanisms of opinion dynamics that can be modelled by kinetic equations. Beside the sociological phenomenon of compromise, naturally linked to collisional operators of Boltzmann kind, many other aspects, already mentioned in the sociophysical literature or no,...

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