Coexistence Equilibria of Evolutionary Games on Graphs under Deterministic Imitation Dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928441" target="_blank" >RIV/49777513:23520/16:43928441 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12192" target="_blank" >http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12192</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2016.21.803" target="_blank" >10.3934/dcdsb.2016.21.803</a>
Alternative languages
Result language
angličtina
Original language name
Coexistence Equilibria of Evolutionary Games on Graphs under Deterministic Imitation Dynamics
Original language description
Cooperative behaviour is often accompanied by the incentives to defect, i.e., to reap the benefits of others' efforts without own contribution. We provide evidence that cooperation and defection can coexist under very broad conditions in the framework of evolutionary games on graphs under deterministic imitation dynamics. Namely, we show that for all graphs there exist coexistence equilibria for certain game-theoretical parameters. Similarly, for all relevant game-theoretical parameters there exists a graph yielding coexistence equilibria. Our proofs are constructive and robust with respect to various utility functions which can be considered. Finally, we briefly discuss bounds for the number of coexistence equilibria.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN
1531-3492
e-ISSN
—
Volume of the periodical
21
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
803-813
UT code for WoS article
—
EID of the result in the Scopus database
—