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Weighted-Median Opinion Dynamics with Antagonistic Interactions
Opinion dynamics study how social interactions shape individuals' opinions. In this project, we combine two important models of opinion dynamics and explore what non-trivial sociological phenomena the new model captures.
Keywords: social network, nonlinear system, multi-agent systems
Opinion dynamics study how certain macroscopic sociological phenomena emerge from interpersonal opinion exchanges, and the role of network structure in it. Most of the existing opinion dynamics models are based on the classic DeGroot model, which assumes that individuals update their opinions by taking weighted averages of their social neighbors. In this project, we combine two important models of opinion dynamics: the Altafini model and the weighted-median model and the Altafini model. The former assumes the existence of negative weights, and the latter overruns the micro-foundation of DeGroot model and its extensions, and exhibits various sociologically insightful behavior which previous models fail to capture. In this project, we will combine these two models and explore what non-trivial phenomena the new model captures.
Opinion dynamics study how certain macroscopic sociological phenomena emerge from interpersonal opinion exchanges, and the role of network structure in it. Most of the existing opinion dynamics models are based on the classic DeGroot model, which assumes that individuals update their opinions by taking weighted averages of their social neighbors. In this project, we combine two important models of opinion dynamics: the Altafini model and the weighted-median model and the Altafini model. The former assumes the existence of negative weights, and the latter overruns the micro-foundation of DeGroot model and its extensions, and exhibits various sociologically insightful behavior which previous models fail to capture. In this project, we will combine these two models and explore what non-trivial phenomena the new model captures.
1. Propose a novel opinion dynamics model;
2. Conduct theoretical analysis of the new model, including analysis of convergence and phase-transition behavior;
3. By numerical simulation, explore insightful predictions of the new model and their sociological interpretations.
1. Propose a novel opinion dynamics model; 2. Conduct theoretical analysis of the new model, including analysis of convergence and phase-transition behavior; 3. By numerical simulation, explore insightful predictions of the new model and their sociological interpretations.