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- W1493227635 abstract "Power-law distributions are common, particularly in social physics. Here, we explore whether power-laws might arise as a consequence of a general variational principle for stochastic processes. We describe communities of 'social particles', where the cost of adding a particle to the community is shared equally between the particle joining the cluster and the particles that are already members of the cluster. Power-law probability distributions of community sizes arise as a natural consequence of the maximization of entropy, subject to this 'equal cost sharing' rule. We also explore a generalization in which there is unequal sharing of the costs of joining a community. Distributions change smoothly from exponential to power-law as a function of a sharing-inequality quantity. This work gives an interpretation of power-law distributions in terms of shared costs." @default.
- W1493227635 created "2016-06-24" @default.
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- W1493227635 date "2011-12-27" @default.
- W1493227635 modified "2023-09-27" @default.
- W1493227635 title "Power-law distribution functions derived from maximum entropy and a symmetry relationship" @default.
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