Opinion Dynamics on Signed Graphs and Graphons: Extending Beyond the Piece-wise Constant Case

This paper studies opinion dynamics models that allow for negative interactions between individuals, such as the repelling and opposing models, and defines their counterparts on signed graphons. The authors prove the existence and uniqueness of solutions to these dynamics on signed graphons, and provide sufficient conditions for the solutions on signed graphs to converge to solutions on signed graphons as the number of individuals goes to infinity.