The DeGroot opinion model in a dynamic random graph: a Markov chain and computational approach

Voro, Maxim Shlomo (A.A. 2023/2024) The DeGroot opinion model in a dynamic random graph: a Markov chain and computational approach. Tesi di Laurea in Gambling: probability and decision, Luiss Guido Carli, relatore Hlafo Alfie Mimun, pp. 98. [Bachelor's Degree Thesis]

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Abstract/Index

Markov chains. Introductory definitions and properties. Transience and recurrence. Simple random walk on Z. Stationary distribution. Period of a state and aperiodic Markov chains. Time reversal and reversible Markov chains. Ergodic theorem . Opinion dynamics. Introductory definitions. Discrete opinions majority model. Coevolution of opinions and the graph. Continuous opinions: De Groot model. Networks & Python. Network elements. Handling network in Python. Density and sparsity. Subnetwork. Degree. Wieght. The Erdos-Renyi mode. Analysis of the DeGroot model behavior network approach. Analysis of the dynamic DeGroot model behavior in Erdos-Renyi Graphs. Environment creation. DeGroot Model in costume random graph Markov chains approach. DeGroot model in costume Erdos-Renyi Graph Markov chains approach. Experiment results. Results analysis.

References

Bibliografia: pp. 85-86.

Thesis Type: Bachelor's Degree Thesis
Institution: Luiss Guido Carli
Degree Program: Bachelor's Degree Programs > Bachelor's Degree Program in Economics and Business, English language (L-33)
Chair: Gambling: probability and decision
Thesis Supervisor: Mimun, Hlafo Alfie
Academic Year: 2023/2024
Session: Autumn
Deposited by: Alessandro Perfetti
Date Deposited: 07 Feb 2025 16:11
Last Modified: 07 Feb 2025 16:11
URI: https://tesi.luiss.it/id/eprint/41252

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