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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
On
Reliability Of Simulations Of Complex Co-Evolutionary Processes |
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Authors: |
Peter Tiňo, Siang Yew
Chong, Xin Yao |
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Published in:
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(2010).ECMS
2010 Proceedings edited by A Bargiela S A Ali D
Crowley E J H Kerckhoffs. European Council for
Modeling and Simulation. doi:10.7148/2010 ISBN:
978-0-9564944-1-2 24th
European Conference on Modelling and Simulation, Simulation Meets Global Challenges Kuala
Lumpur, June 1-4 2010 |
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Citation
format: |
Tino, P., Chong, S. Y., & Yao, X.
(2010). On Reliability Of Simulations Of Complex Co-Evolutionary Processes. ECMS
2010 Proceedings edited by A Bargiela S A Ali D Crowley
E J H Kerckhoffs (pp. 258-264). European Council
for Modeling and Simulation. doi:10.7148/2010-0258-0264 |
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DOI: |
http://dx.doi.org/10.7148/2010-0258-0264 |
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Abstract: |
Infinite population
models of co-evolutionary dynamics are useful mathematical constructs hinting
at the possi- bility of a
wide variety of possible dynamical regimes - from simple attractive fixed point behavior, periodic or- bits to complex chaotic
dynamics. We propose to use the framework of shadowing lemma to link such mathemat- ical constructs to
large finite population computer sim- ulations. We also investigate whether the imposition of
finite precision computer arithmetic or the requirement that population
ratios be rational numbers does not leave the
infinite population constructs and theories irrelevant. We argue that if the
co-evolutionary system possesses the shadowing property the infinite
population constructs can still be relevant. We study two examples of
hawk-dove game with Boltzmann and (μ,
λ) selection. Whereas for Boltzmann
selection there is a strong indication of the shadowing property, there is no
shadowing in the case of (μ,
λ) selection. |
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