Complex contagions with lazy adoption

Oh, S

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APA Style

Oh, S. (2017). Complex contagions with lazy adoption [PhD thesis]. University of Oxford.

MLA Style

Oh, S. Complex Contagions with Lazy Adoption. 2017. University of Oxford, PhD thesis.

Chicago Style

Oh, S. 2017. “Complex Contagions with Lazy Adoption.” PhD thesis, University of Oxford.
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Files:: dissemination_version.pdf

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Authors

+ Oh, S More by this author

Division:: MPLS
Department:: Mathematical Institute
Department:: Mathematical Institute
Role:: Author

Contributors

+ Porter, M

Role:: Supervisor

+ Kwanjeong Educational Foundation More from this funder

Funding agency for:: Oh, S

DOI:: 10.5287/ora-0npyov7bz
Type of award:: DPhil
Level of award:: Doctoral
Awarding institution:: University of Oxford

Keywords:: Numerical analysis

Graph theory

Network system

Dynaical system
Subjects:: Complex contagions on networks
UUID:: uuid:207c7ce3-d4fb-4657-8386-4e5174a8b7dc
Deposit date:: 2018-04-16
ARK identifier:: ark:/29072/ora_207c7ce3d4fb465783864e5174a8b7dc

Related item:: Complex contagions with timers
Description:: There has been a great deal of effort to try to model social influence—including the spread of behavior, norms, and ideas—on networks. Most models of social influence tend to assume that individuals react to changes in the states of their neighbors without any time delay, but this is often not true in social contexts, where (for various reasons) different agents can have different response times. To examine such situations, we introduce the idea of a timer into threshold models of social influence. The presence of timers on nodes delays adoptions—i.e., changes of state—by the agents, which in turn delays the adoptions of their neighbors. With a homogeneously-distributed timer, in which all nodes have the same amount of delay, the adoption order of nodes remains the same. However, heterogeneously-distributed timers can change the adoption order of nodes and hence the “adoption paths” through which state changes spread in a network. Using a threshold model of social contagions, we illustrate that heterogeneous timers can either accelerate or decelerate the spread of adoptions compared to an analogous situation with homogeneous timers, and we investigate the relationship of such acceleration or deceleration with respect to the timer distribution and network structure. We derive an analytical approximation for the temporal evolution of the fraction of adopters by modifying a pair approximation for the Watts threshold model, and we find good agreement with numerical simulations. We also examine our new timer model on networks constructed from empirical data.

Terms of use

Copyright holder:: Oh, S; Mason Alexander Porter
Rights statement:: This work is licensed under the Creative Commons (CC BY-SA) License.

Licence:: CC Attribution (CC BY)

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Complex contagions with lazy adoption

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