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The Dynamics of Persuasion

The act of persuading other people to adopt an acceptable opinion, and perhaps as a result, to do something we want them to, forms a huge part of our lives. Indeed this skill and the equally important one of being willing to listen to reason and be persuaded could be said to be at the core of what we term society. To what extent can we represent this social process mathematically? The concerned reader will doubtless be greatly relieved to hear that the authors believe that this goal is still very far distant. Nonetheless, some simple models discussed here may show some promising avenues to explore. Following some assumptions about propensity to be persuaded, discrete and continuous models are investigated and solved analytically for two people, and then generalised to an arbitrary number of people. The three person continuous model is then examined in some detail. Possible applications are discussed. Keywords— Persuasion, Opinion, Discrete Model, Continuous Model.