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This release is out-of-date.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

Submitted by Thibaut Roubin Published Sep 17, 2020 Last modified Jul 26, 2022

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.

Cite this Model

Thibaut Roubin, Guillaume Deffuant (2020, September 17). “Leviathan model and its approximation” (Version 1.0.0). CoMSES Computational Model Library. Retrieved from: https://www.comses.net/codebases/12d44111-5823-4773-ad59-754ebacb33a1/releases/1.0.0/

Associated Publication(s)

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

References

Huet, S., & Deffuant, G. (2017). The Leviathan model without gossips and vanity: The richness of influence based on perceived hierarchy. In W. Jager, R. Verbrugge, A. Flache, G. De Roo, L. Hoogduin & C. Hemelrijk (Eds.), Advances in Social Simulation 2015, Advances in Intelligent Systems and Computing 528 (pp. 149-162): Springer.
Deffuant, G., Carletti, T., & Huet, S. (2013). The Leviathan Model: Absolute dominance, generalised distrust, small worlds and other patterns emerging from combining vanity with opinion propagation. JASSS-The Journal of Artificial Societies and Social Simulation, 16(1), 32.

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Contributors
Thibaut Roubin Guillaume Deffuant
DOI
No assigned DOI
Model Version
1.0.0
License
CC-BY-NC-SA-4.0
Programming Language
C++
Software Framework
ABM
Operating System
Operating System Independent
Publish Date
Thursday, September 17, 2020
Last Updated
Thursday, September 17, 2020
Downloads 97
Peer Review
Unreviewed
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

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