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We introduce a new, and quite general variational model for opinion dynamicsbased on pairwise interaction potentials and a range of opinion evolutionprotocols ranging from random interactions to global synchronous flows in theopinion state space. The model supports the concept of topic "coupling",allowing opinions held by individuals to be changed via indirect interactionwith others on different subjects. Interaction topology is governed by a graphthat determines interactions. Our model, which is really a family ofvariational models, has, as special cases, many of the previously establishedmodels for the opinion dynamics. After introducing the model, we study thedynamics of the special case in which the potential is either a tent functionor a constructed bell-like curve. We find that even in these relatively simplepotential function examples there emerges interesting behavior. We also presentresults of preliminary numerical explorations of the behavior of the model tomotivate questions that can be explored analytically.

An energy-based interaction model for population opinion dynamics with topic coupling