In agent-based modeling the focus is very much on agent-based
simulation, as simulation is a very important tool for agent-based
modeling. We also use agent-based simulation in this book with a
stress on the mathematical foundation of agent-based modeling. We
introduce two original mathematical frameworks, a theory of SLD
(Social Learning Dynamics) and an axiomatic theory of economic
exchange (Exchange Algebra) among agents. Exchange algebra gives
bottom-up reconstruction of SNA (System of National Accountings).
SLD provides the concept of indirect control of socio-economic
systems to manage structural change and its stability. We also
compare agent-based simulation with gaming simulation and
investigate the epistemological foundation of agent-based
modeling.
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