Computational Model Library

Leviathan model and its approximation (1.0.0)

The model is based on the influence function of the Leviathan model (Deffuant, Carletti, Huet 2013 and Huet and Deffuant 2017). We aim at better explaining some patterns generated by this model, using a derived mathematical approximation of the evolution of the opinions averaged.

We consider agents having an opinion/esteem about each other and about themselves. During dyadic meetings, agents change their respective opinion about each other, and possibly about other agents they gossip about, with a noisy perception of the opinions of their interlocutor. Highly valued agents are more influential in such encounters.

We show that the inequality of reputations among agents have a negative effect on the opinions about the agents of low status.The mathematical analysis of the opinion dynamic shows that the lower the status of the agent, the more detrimental the interactions are for the opinions about this agent, especially when gossip is activated, while the interactions always tend to increase the opinions about agents of high status.

Release Notes

The doxygen documentation is available in the code folder.
Run the makeFile to compute the code, or import the code files in any IDE.

Associated Publications

Deffuant, G., Roubin, T.: Do interactions among unequal agents undermine those of low status? Physica A: Statistical Mechanics and its Applications 592, 126780 (2022). https://doi.org/https://doi.org/10.1016/j.physa.2021.126780, https://www.sciencedirect.com/science/article/pii/S0378437121009626

This release is out-of-date. The latest version is 1.1.0

Leviathan model and its approximation 1.0.0

The model is based on the influence function of the Leviathan model (Deffuant, Carletti, Huet 2013 and Huet and Deffuant 2017). We aim at better explaining some patterns generated by this model, using a derived mathematical approximation of the evolution of the opinions averaged.

We consider agents having an opinion/esteem about each other and about themselves. During dyadic meetings, agents change their respective opinion about each other, and possibly about other agents they gossip about, with a noisy perception of the opinions of their interlocutor. Highly valued agents are more influential in such encounters.

We show that the inequality of reputations among agents have a negative effect on the opinions about the agents of low status.The mathematical analysis of the opinion dynamic shows that the lower the status of the agent, the more detrimental the interactions are for the opinions about this agent, especially when gossip is activated, while the interactions always tend to increase the opinions about agents of high status.

Release Notes

The doxygen documentation is available in the code folder.
Run the makeFile to compute the code, or import the code files in any IDE.

Version Submitter First published Last modified Status
1.1.0 Thibaut Roubin Mon Sep 6 14:45:35 2021 Tue Jul 26 07:12:36 2022 Published
1.0.0 Thibaut Roubin Thu Sep 17 15:21:40 2020 Thu Sep 17 15:21:40 2020 Published

Discussion

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