Fundamentals Of Measurement And Representation Of Natural Systems
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Fundamentals of Measurement and Representation of Natural Systems
Mathematical background; The basic formalism; Meters and dynamics; Dynamics and linkage; The analysis of dynamics; Symmetry; Similarity in physics and biology.
Robert Rosen and Relational System Theory: An Overview
Author: James Bryan Lennox
language: en
Publisher: Springer Nature
Release Date: 2024-05-21
This book focuses on Robert Rosen’s contributions to relational system theory, which is the science of organization and function. This science was originally developed by Nicolas Rashevsky, and further developed by Rashevsky’s student Robert Rosen, and continues to be developed by Rosen’s student A. H. Louie amongst others. Due to its revolutionary character, it is often misunderstood, and to some, controversial. The formal and conceptual setting for Rosen’s relational system theory is category theory. Rosen was the first to apply category theory to scientific problems, outside of pure mathematics, and the first to think about science from the point of view of category theory. To better understand the work of Rosen, this book provides an overview of his theory of modeling, complexity, anticipation, and organism. It presents the foundations of this science and the philosophical motivations behind it along with conceptual clarification and historical context in order to present Rosen’s ideas to a wider audience.
Economics as an Agent-Based Complex System
Author: H. Deguchi
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-28
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.