We deal with a control problem for a complex social network in which each agent has an action and an opinion, evolving according to a coevolutionary model. In particular, we consider a scenario in which a committed minority -a set of stubborn nodes- aims to steer a population, initially at a consensus, to a different consensus state. Our study focuses on determining the conditions under which such a goal is reached, and ultimately, how to optimally define a minimal committed minority. First, we derive a general monotone convergence result for the controlled coevolutionary model, under mild and general assumptions on the agents revision sequence. Then, we build on our theoretical result to propose a systematic approach to investigate the research problem.
On Controlling a Coevolutionary Model of Actions and Opinions / Raineri, Roberta; Como, Giacomo; Fagnani, Fabio; Ye, Mengbin; Zino, Lorenzo. - ELETTRONICO. - (2024), pp. 4550-4555. (Intervento presentato al convegno IEEE 63rd Conference on Decision and Control tenutosi a Milano (Ita) nel 16-19 Dicembre 2024) [10.1109/cdc56724.2024.10886195].
On Controlling a Coevolutionary Model of Actions and Opinions
Raineri, Roberta;Como, Giacomo;Fagnani, Fabio;Zino, Lorenzo
2024
Abstract
We deal with a control problem for a complex social network in which each agent has an action and an opinion, evolving according to a coevolutionary model. In particular, we consider a scenario in which a committed minority -a set of stubborn nodes- aims to steer a population, initially at a consensus, to a different consensus state. Our study focuses on determining the conditions under which such a goal is reached, and ultimately, how to optimally define a minimal committed minority. First, we derive a general monotone convergence result for the controlled coevolutionary model, under mild and general assumptions on the agents revision sequence. Then, we build on our theoretical result to propose a systematic approach to investigate the research problem.File | Dimensione | Formato | |
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CDC_2024 (coevolution).pdf
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CDC_2024___OpinionAction (4).pdf
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https://hdl.handle.net/11583/2997945