Percolation-like behavior of some optimal coalition formation models

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The ground-state of an infinite-range Potts glass-type model with +/- J bonds and unrestricted number of states is used to investigate coalition formation. As a function of the q probability of +J bonds in the system it is found that the r relative size of the largest cluster (a cluster being the group of elements in the same state) shows a percolation like behavior. By a simple renormalization approach and several optimization methods we investigate the r(q) curves for finite systems sizes. Non-trivial consequences for social percolation problems are discussed.
5 pages, RevTeX

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Statistical Mechanics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/19879

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0209041
 http://arxiv.org/abs/cond-mat/0209041

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arXiv