Markov Chain Aggregation for Agent-Based Models by Sven Banisch PDF

By Sven Banisch

ISBN-10: 3319248758

ISBN-13: 9783319248752

ISBN-10: 3319796917

ISBN-13: 9783319796918

This self-contained textual content develops a Markov chain method that makes the rigorous research of a category of microscopic types that designate the dynamics of advanced structures on the person point attainable. It provides a common framework of aggregation in agent-based and comparable computational types, one that uses lumpability and data conception as a way to hyperlink the micro and macro degrees of commentary. the start line is a microscopic Markov chain description of the dynamical approach in entire correspondence with the dynamical habit of the agent-based version (ABM), that is acquired by way of contemplating the set of all attainable agent configurations because the country area of an important Markov chain. An particular formal illustration of a ensuing “micro-chain” together with microscopic transition charges is derived for a category of types through the use of the random mapping illustration of a Markov technique. the kind of likelihood distribution used to enforce the stochastic a part of the version, which defines the updating rule and governs the dynamics at a Markovian point, performs a very important half within the research of “voter-like” versions utilized in inhabitants genetics, evolutionary video game conception and social dynamics. The booklet demonstrates that the matter of aggregation in ABMs - and the lumpability stipulations particularly - might be embedded right into a extra basic framework that employs info conception with the intention to establish various degrees and proper scales in complicated dynamical systems

Show description

Read Online or Download Markov Chain Aggregation for Agent-Based Models (Understanding Complex Systems) PDF

Similar chaos & systems books

New PDF release: Dynamical Systems and Control (Stability and Control:

Dynamical platforms and regulate files the main displays of the eleventh overseas Workshop on Dynamics and regulate, offering a starting place for extra learn. Contributed papers make clear actual, organic, and fiscal phenomena via traces of reasoning that originate from this self-discipline.

Robin Robertson,Allan Combs's Chaos theory in Psychology and the Life Sciences PDF

This e-book represents the simplest of the 1st 3 years of the Society for Chaos thought in Psychology meetings. whereas chaos concept has been a subject of substantial curiosity within the actual and organic sciences, its functions in psychology and similar fields were obscured until eventually lately through its complexity.

Get Acoustics of Musical Instruments (Modern Acoustics and PDF

This booklet, the 1st English-language translation of Acoustique des tools de musique, moment Edition, presents the mandatory foundations for knowing the complicated actual phenomena enthusiastic about musical instruments. What is the functionality of the labium in a flute? Which positive aspects of an tool let us make a transparent audible contrast among a clarinet and a trumpet?

Neoclassical Theory of Electromagnetic Interactions: A by Anatoli Babin,Alexander Figotin PDF

During this monograph, the authors current their lately constructed concept of electromagnetic interactions. This neoclassical method extends the classical electromagnetic concept all the way down to atomic scales and permits the reason of assorted non-classical phenomena within the comparable framework. whereas the classical Maxwell–Lorentz electromagnetism idea succeeds in describing the actual fact at macroscopic scales, it struggles at atomic scales.

Additional resources for Markov Chain Aggregation for Agent-Based Models (Understanding Complex Systems)

Sample text

Download PDF sample

Markov Chain Aggregation for Agent-Based Models (Understanding Complex Systems) by Sven Banisch


by Jason
4.0

Rated 4.81 of 5 – based on 45 votes

Published by admin