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Interacting Multiagent Systems - Kinetic equations and Monte Carlo methods (Hardcover)
Loot Price: R2,983
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Interacting Multiagent Systems - Kinetic equations and Monte Carlo methods (Hardcover)
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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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