We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a de...

Abstract Is it possible to disagree with someone without considering them cognitively flawed? The answer seems be a resounding yes : disagreeing doesn't entail thinking less of them. You can and not think that they are unreasonable. Deep disagreements, however, may challenge this assumption. A disagreement is deep when involves many interrelated issues, including the proper way resolve disagree...

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