Matches in SemOpenAlex for { <https://semopenalex.org/work/W2748240155> ?p ?o ?g. }
- W2748240155 abstract "We study the dynamics of opinion formation in a heterogeneous voter model on a complete graph, in which each agent is endowed with an integer fitness parameter $kensuremath{ge}0$, in addition to its $+$ or $ensuremath{-}$ opinion state. The evolution of the distribution of $k$-values and the opinion dynamics are coupled together, so as to allow the system to dynamically develop heterogeneity and memory in a simple way. When two agents with different opinions interact, their $k$-values are compared, and with probability $p$ the agent with the lower value adopts the opinion of the one with the higher value, while with probability $1ensuremath{-}p$ the opposite happens. The agent that keeps its opinion (winning agent) increments its $k$-value by one. We study the dynamics of the system in the entire $0ensuremath{le}pensuremath{le}1$ range and compare with the case $p=1/2$, in which opinions are decoupled from the $k$-values and the dynamics is equivalent to that of the standard voter model. When $0ensuremath{le}p<1/2$, agents with higher $k$-values are less persuasive, and the system approaches exponentially fast to the consensus state of the initial majority opinion. The mean consensus time $ensuremath{tau}$ appears to grow logarithmically with the number of agents $N$, and it is greatly decreased relative to the linear behavior $ensuremath{tau}ensuremath{sim}N$ found in the standard voter model. When $1/2<pensuremath{le}1$, agents with higher $k$-values are more persuasive, and the system initially relaxes to a state with an even coexistence of opinions, but eventually reaches consensus by finite-size fluctuations. The approach to the coexistence state is monotonic for $1/2<p<{p}_{o}ensuremath{simeq}0.8$, while for ${p}_{o}ensuremath{le}pensuremath{le}1$ there are damped oscillations around the coexistence value. The final approach to coexistence is approximately a power law ${t}^{ensuremath{-}b(p)}$ in both regimes, where the exponent $b$ increases with $p$. Also, $ensuremath{tau}$ increases respect to the standard voter model, although it still scales linearly with $N$. The $p=1$ case is special, with a relaxation to coexistence that scales as ${t}^{ensuremath{-}2.73}$ and a consensus time that scales as $ensuremath{tau}ensuremath{sim}{N}^{ensuremath{beta}}$, with $ensuremath{beta}ensuremath{simeq}1.45$." @default.
- W2748240155 created "2017-08-31" @default.
- W2748240155 creator A5040762725 @default.
- W2748240155 creator A5050394771 @default.
- W2748240155 creator A5051743263 @default.
- W2748240155 creator A5074424615 @default.
- W2748240155 date "2017-09-25" @default.
- W2748240155 modified "2023-10-14" @default.
- W2748240155 title "Fitness voter model: Damped oscillations and anomalous consensus" @default.
- W2748240155 cites W1969871566 @default.
- W2748240155 cites W1971842701 @default.
- W2748240155 cites W1987142400 @default.
- W2748240155 cites W2003214231 @default.
- W2748240155 cites W2008569255 @default.
- W2748240155 cites W2024060924 @default.
- W2748240155 cites W2033541016 @default.
- W2748240155 cites W2049283612 @default.
- W2748240155 cites W2051510192 @default.
- W2748240155 cites W2058105398 @default.
- W2748240155 cites W2070907364 @default.
- W2748240155 cites W2075102180 @default.
- W2748240155 cites W2086591480 @default.
- W2748240155 cites W2106427318 @default.
- W2748240155 cites W2110742462 @default.
- W2748240155 cites W2113321055 @default.
- W2748240155 cites W2121110347 @default.
- W2748240155 cites W2125428868 @default.
- W2748240155 cites W2130469453 @default.
- W2748240155 cites W2146008209 @default.
- W2748240155 cites W2150041461 @default.
- W2748240155 cites W2155170317 @default.
- W2748240155 cites W2160323368 @default.
- W2748240155 cites W2167951823 @default.
- W2748240155 cites W2479457348 @default.
- W2748240155 cites W2625227896 @default.
- W2748240155 cites W3099603287 @default.
- W2748240155 cites W3100753938 @default.
- W2748240155 cites W3100992614 @default.
- W2748240155 cites W3101293471 @default.
- W2748240155 cites W3102898257 @default.
- W2748240155 cites W3125481687 @default.
- W2748240155 cites W41049822 @default.
- W2748240155 cites W4301499593 @default.
- W2748240155 doi "https://doi.org/10.1103/physreve.96.032313" @default.
- W2748240155 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29346969" @default.
- W2748240155 hasPublicationYear "2017" @default.
- W2748240155 type Work @default.
- W2748240155 sameAs 2748240155 @default.
- W2748240155 citedByCount "11" @default.
- W2748240155 countsByYear W27482401552018 @default.
- W2748240155 countsByYear W27482401552019 @default.
- W2748240155 countsByYear W27482401552020 @default.
- W2748240155 countsByYear W27482401552021 @default.
- W2748240155 countsByYear W27482401552022 @default.
- W2748240155 countsByYear W27482401552023 @default.
- W2748240155 crossrefType "journal-article" @default.
- W2748240155 hasAuthorship W2748240155A5040762725 @default.
- W2748240155 hasAuthorship W2748240155A5050394771 @default.
- W2748240155 hasAuthorship W2748240155A5051743263 @default.
- W2748240155 hasAuthorship W2748240155A5074424615 @default.
- W2748240155 hasBestOaLocation W27482401551 @default.
- W2748240155 hasConcept C105795698 @default.
- W2748240155 hasConcept C110121322 @default.
- W2748240155 hasConcept C11413529 @default.
- W2748240155 hasConcept C114614502 @default.
- W2748240155 hasConcept C121332964 @default.
- W2748240155 hasConcept C121864883 @default.
- W2748240155 hasConcept C134306372 @default.
- W2748240155 hasConcept C149441793 @default.
- W2748240155 hasConcept C2776291640 @default.
- W2748240155 hasConcept C2781396049 @default.
- W2748240155 hasConcept C33923547 @default.
- W2748240155 hasConcept C48103436 @default.
- W2748240155 hasConceptScore W2748240155C105795698 @default.
- W2748240155 hasConceptScore W2748240155C110121322 @default.
- W2748240155 hasConceptScore W2748240155C11413529 @default.
- W2748240155 hasConceptScore W2748240155C114614502 @default.
- W2748240155 hasConceptScore W2748240155C121332964 @default.
- W2748240155 hasConceptScore W2748240155C121864883 @default.
- W2748240155 hasConceptScore W2748240155C134306372 @default.
- W2748240155 hasConceptScore W2748240155C149441793 @default.
- W2748240155 hasConceptScore W2748240155C2776291640 @default.
- W2748240155 hasConceptScore W2748240155C2781396049 @default.
- W2748240155 hasConceptScore W2748240155C33923547 @default.
- W2748240155 hasConceptScore W2748240155C48103436 @default.
- W2748240155 hasFunder F4320306076 @default.
- W2748240155 hasFunder F4320321594 @default.
- W2748240155 hasFunder F4320334627 @default.
- W2748240155 hasIssue "3" @default.
- W2748240155 hasLocation W27482401551 @default.
- W2748240155 hasLocation W27482401552 @default.
- W2748240155 hasLocation W27482401553 @default.
- W2748240155 hasLocation W27482401554 @default.
- W2748240155 hasLocation W27482401555 @default.
- W2748240155 hasLocation W27482401556 @default.
- W2748240155 hasLocation W27482401557 @default.
- W2748240155 hasLocation W27482401558 @default.
- W2748240155 hasOpenAccess W2748240155 @default.
- W2748240155 hasPrimaryLocation W27482401551 @default.
- W2748240155 hasRelatedWork W1978042415 @default.