Evolutionary games on graphs and discrete dynamical systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43924471" target="_blank" >RIV/49777513:23520/15:43924471 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.988618?journalCode=gdea20#.VNIxMJ3F_dc" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.988618?journalCode=gdea20#.VNIxMJ3F_dc</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2014.988618" target="_blank" >10.1080/10236198.2014.988618</a>
Alternative languages
Result language
angličtina
Original language name
Evolutionary games on graphs and discrete dynamical systems
Original language description
Evolutionary games on graphs play an important role in the study of evolution of cooperation in applied biology. Using rigorous mathematical concepts from a dynamical systems and graph theoretical point of view, we formalize the notions of attractor, update rules and update orders. We prove results on attractors for different utility functions and update orders. For complete graphs we characterize attractors for synchronous and sequential update rules. In other cases (for k-regular graphs or for different update orders) we provide sufficient conditions for attractivity of full cooperation and full defection. We construct examples to show that these conditions are not necessary. Finally, by formulating a list of open questions we emphasize the advantages of our rigorous approach.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F12%2F1757" target="_blank" >GAP201/12/1757: Partial differential equations on continuous-discrete domains</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Difference Equations and Applications
ISSN
1023-6198
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
24
Pages from-to
72-95
UT code for WoS article
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EID of the result in the Scopus database
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