Abstract
This paper is about a new model of opinion dynamics with opinion-dependent connectivity. We assume that agents update their opinions asynchronously and that each agent's new opinion depends on the opinions of the k agents that are closest to it. We show that the resulting dynamics is substantially different from comparable models in the literature, such as bounded-confidence models. We study the equilibria of the dynamics, observing that they are robust to perturbations caused by the introduction of new agents. We also prove that if the number of agents n is smaller than 2k, the dynamics converge to consensus. This condition is only sufficient.
Original language | English |
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Title of host publication | 2018 IEEE Conference on Decision and Control, CDC 2018 |
Publisher | IEEE |
Pages | 3648-3653 |
Number of pages | 6 |
ISBN (Electronic) | 9781538613955 |
DOIs | |
Publication status | Published - 18 Jan 2019 |
Event | 57th IEEE Conference on Decision and Control 2018 - Fontainebleau Miami Beach, Miami Beach, United States Duration: 17 Dec 2018 → 19 Dec 2018 Conference number: 57 https://cdc2018.ieeecss.org/ |
Publication series
Name | Proceedings of the IEEE Conference on Decision and Control |
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Volume | 2018-December |
ISSN (Print) | 0743-1546 |
Conference
Conference | 57th IEEE Conference on Decision and Control 2018 |
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Abbreviated title | CDC 2018 |
Country/Territory | United States |
City | Miami Beach |
Period | 17/12/18 → 19/12/18 |
Internet address |