Re: Meanwhile Back in the Sandbox...
"Again, men have no pleasure (but on the contrary a great deal of grief) in keeping company where there is no power able to overawe them all. For every man looketh that his companion should value him at the same rate he sets upon himself, and upon all signs of contempt or undervaluing naturally endeavours, as far as he dares (…), to extort a greater value from his contemners, by damage; and from others, by the example." T. Hobbes, Leviathan, chapter 13.
The Leviathan Model: Absolute Dominance, Generalised Distrust, Small Worlds and Other Patterns Emerging from Combining Vanity with Opinion Propagation
Abstract
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Discussion - conclusion
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Originally posted by reggie
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"Again, men have no pleasure (but on the contrary a great deal of grief) in keeping company where there is no power able to overawe them all. For every man looketh that his companion should value him at the same rate he sets upon himself, and upon all signs of contempt or undervaluing naturally endeavours, as far as he dares (…), to extort a greater value from his contemners, by damage; and from others, by the example." T. Hobbes, Leviathan, chapter 13.
The Leviathan Model: Absolute Dominance, Generalised Distrust, Small Worlds and Other Patterns Emerging from Combining Vanity with Opinion Propagation
Abstract
- We propose an opinion dynamics model that combines processes of vanity and opinion propagation. The interactions take place between randomly chosen pairs. During an interaction, the agents propagate their opinions about themselves and about other people they know. Moreover, each individual is subject to vanity: if her interlocutor seems to value her highly, then she increases her opinion about this interlocutor. On the contrary she tends to decrease her opinion about those who seem to undervalue her. The combination of these dynamics with the hypothesis that the opinion propagation is more efficient when coming from highly valued individuals, leads to different patterns when varying the parameters. For instance, for some parameters the positive opinion links between individuals generate a small world network. In one of the patterns, absolute dominance of one agent alternates with a state of generalised distrust, where all agents have a very low opinion of all the others (including themselves). We provide some explanations of the mechanisms behind these emergent behaviors and finally propose a discussion about their interest.
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Discussion - conclusion
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- 5.2
- We think that our results can shed a new light on Hobbes theses. Indeed, it is striking that our model leads to two situations on which Hobbes focuses particularly: the general distrust (crisis) where men are all enemies of each other (and of themselves), and the absolute dominance of one agent (the Leviathan). In this respect, the model confirms the main intuitions of Hobbes. Moreover, in the crisis-dominance pattern, these two situations alternate dynamically, as if they were the two sides of the same coin. The main point is that they take place spontaneously as an effect of the individual interactions. Moreover, we show that the same hypotheses can lead to very different patterns that were not considered by Hobbes (equality, elite).
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