On Arbitrarily Long Periodic Orbits of Evolutionary Games on Graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43950876" target="_blank" >RIV/49777513:23520/18:43950876 - isvavai.cz</a>
Result on the web
<a href="http://aimsciences.org/article/doi/10.3934/dcdsb.2018187" target="_blank" >http://aimsciences.org/article/doi/10.3934/dcdsb.2018187</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2018187" target="_blank" >10.3934/dcdsb.2018187</a>

Result language
angličtina
Original language name
On Arbitrarily Long Periodic Orbits of Evolutionary Games on Graphs
Original language description
A periodic behavior is a well observed phenomena in biological and economical systems. We show that evolutionary games on graphs with imitation dynamics can display periodic behavior for an arbitrary choice of game theoretical parameters describing social-dilemma games. We construct graphs and corresponding initial conditions whose trajectories are periodic with an arbitrary minimal period length. We also examine a periodic behavior of evolutionary games on graphs with the underlying graph being an acyclic (tree) graph. Astonishingly, even this acyclic structure allows for arbitrary long periodic behavior.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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