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Gillespie Algorithms for Stochastic Multiagent Dynamics in Populations and Networks - Naoki Masuda, Christian L. Vestergaard

Gillespie Algorithms for Stochastic Multiagent Dynamics in Populations and Networks

Buch | Softcover
106 Seiten
2023
Cambridge University Press (Verlag)
978-1-009-23914-1 (ISBN)
CHF 29,65 inkl. MwSt
This Element provides a tutorial on the Gillespie algorithms focusing on social multiagent dynamics and also review their recent extensions. The first main part focuses on simulation of social multiagent dynamics occurring in populations and networks, and the remainder reviews recent extensions of the Gillespie algorithms.
Many multiagent dynamics can be modeled as a stochastic process in which the agents in the system change their state over time in interaction with each other. The Gillespie algorithms are popular algorithms that exactly simulate such stochastic multiagent dynamics when each state change is driven by a discrete event, the dynamics is defined in continuous time, and the stochastic law of event occurrence is governed by independent Poisson processes. The first main part of this volume provides a tutorial on the Gillespie algorithms focusing on simulation of social multiagent dynamics occurring in populations and networks. The authors clarify why one should use the continuous-time models and the Gillespie algorithms in many cases, instead of easier-to-understand discrete-time models. The remainder of the Element reviews recent extensions of the Gillespie algorithms aiming to add more reality to the model (i.e., non-Poissonian cases) or to speed up the simulations. This title is also available as open access on Cambridge Core.

1. Introduction; 2. Preliminaries; 3. Classic Gillespie Algorithms; 4. Computational Complexity and Efficient Implementations; 5. Gillespie Algorithms for Temporal Networks and Non-Poissonian Jump Processes; 6. Conclusions; References.

Erscheinungsdatum
Reihe/Serie Elements in the Structure and Dynamics of Complex Networks
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 151 x 228 mm
Gewicht 170 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 1-009-23914-7 / 1009239147
ISBN-13 978-1-009-23914-1 / 9781009239141
Zustand Neuware
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