Replicator Equations as Limits of Evolutionary Games on Complete Graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43950683" target="_blank" >RIV/49777513:23520/17:43950683 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-981-10-6409-8_4" target="_blank" >https://link.springer.com/chapter/10.1007/978-981-10-6409-8_4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-981-10-6409-8_4" target="_blank" >10.1007/978-981-10-6409-8_4</a>
Alternative languages
Result language
angličtina
Original language name
Replicator Equations as Limits of Evolutionary Games on Complete Graphs
Original language description
In this paper we discuss connections between the evolutionary games on graphs and replicator equations. On the traditional examples of social dilemma games we introduce the basic ideas of replicator dynamics and the mathematical concepts behind evolutionary games on graphs. We show that the stability regions of evolutionary games on complete graphs with the sequential and synchronous updating with deterministic imitation dynamics converge to the stability regions of replicator equations. Finally, we show that by a finer choice of a time scale and a stochastic imitation dynamic update rule not only the stability regions but also the trajectories of evolutionary games on graphs converge to those of replicator equations.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA15-07690S" target="_blank" >GA15-07690S: Partial Difference and Differential Equations on Lattices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Advances in Difference Equations and Discrete Dynamical Systems
ISBN
978-981-10-6408-1
ISSN
2194-1009
e-ISSN
neuvedeno
Number of pages
21
Pages from-to
67-87
Publisher name
Springer
Place of publication
Singapur
Event location
Osaka, Japonsko
Event date
Jul 25, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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