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Interacting Multiagent Systems : Kinetic Equations and Monte Carlo Methods

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Title: Interacting Multiagent Systems : Kinetic Equations and Monte Carlo Methods
Description: The description of emerging collective phenomena and self-organization in systems composed of large numbers of individuals has gained increasing interest from various research communities in biology, ecology, robotics and control theory, as well as sociology and economics. Applied mathematics is concerned with the construction, analysis and interpretation of mathematical models that can shed light on significant problems of the natural sciences as well as our daily lives. To this set of problems belongs the description of the collective behaviours of complex systems composed by a large enough number of individuals. Examples of such systems are interacting agents in a financial market, potential voters during political elections, or groups of animals with a tendency to flock or herd. Among other possible approaches, this book provides a step-by-step introduction to the mathematical modelling based on a mesoscopic description and the construction of efficient simulation algorithms by Monte Carlo methods. The arguments of the book cover various applications, from the analysis of wealth distributions, the formation of opinions and choices, the price dynamics in a financial market, to the description of cell mutations and the swarming of birds and fishes. By means of methods inspired by the kinetic theory of rarefied gases, a robust approach to mathematical modelling and numerical simulation of multi-agent systems is presented in detail. The content is a useful reference text for applied mathematicians, physicists, biologists and economists who want to learn about modelling and approximation of such challenging phenomena.
Authors: Lorenzo Pareschi, Giuseppe Toscani
Resource Type: eBook.
Subjects: Monte Carlo method, Equations of motion, Multiagent systems--Mathematical models
Categories: SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 683933
RelevancyScore: 1057
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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  Data: Interacting Multiagent Systems : Kinetic Equations and Monte Carlo Methods
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  Label: Description
  Group: Ab
  Data: The description of emerging collective phenomena and self-organization in systems composed of large numbers of individuals has gained increasing interest from various research communities in biology, ecology, robotics and control theory, as well as sociology and economics. Applied mathematics is concerned with the construction, analysis and interpretation of mathematical models that can shed light on significant problems of the natural sciences as well as our daily lives. To this set of problems belongs the description of the collective behaviours of complex systems composed by a large enough number of individuals. Examples of such systems are interacting agents in a financial market, potential voters during political elections, or groups of animals with a tendency to flock or herd. Among other possible approaches, this book provides a step-by-step introduction to the mathematical modelling based on a mesoscopic description and the construction of efficient simulation algorithms by Monte Carlo methods. The arguments of the book cover various applications, from the analysis of wealth distributions, the formation of opinions and choices, the price dynamics in a financial market, to the description of cell mutations and the swarming of birds and fishes. By means of methods inspired by the kinetic theory of rarefied gases, a robust approach to mathematical modelling and numerical simulation of multi-agent systems is presented in detail. The content is a useful reference text for applied mathematicians, physicists, biologists and economists who want to learn about modelling and approximation of such challenging phenomena.
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  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Lorenzo+Pareschi%22">Lorenzo Pareschi</searchLink><br /><searchLink fieldCode="AR" term="%22Giuseppe+Toscani%22">Giuseppe Toscani</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Multiagent+systems--Mathematical+models%22">Multiagent systems--Mathematical models</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 518
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Equations of motion
        Type: general
      – SubjectFull: Multiagent systems--Mathematical models
        Type: general
    Titles:
      – TitleFull: Interacting Multiagent Systems : Kinetic Equations and Monte Carlo Methods
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Lorenzo Pareschi
      – PersonEntity:
          Name:
            NameFull: Giuseppe Toscani
      – PersonEntity:
          Name:
            NameFull: Lorenzo Pareschi
      – PersonEntity:
          Name:
            NameFull: Giuseppe Toscani
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780199655465
            – Type: isbn-print
              Value: 9780191628870
            – Type: isbn-electronic
              Value: 9780191627989
          Titles:
            – TitleFull: Interacting Multiagent Systems : Kinetic Equations and Monte Carlo Methods
              Type: main
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