Percolation-like behavior of some optimal coalition formation models

Details Percolation-like behavior of some optimal coalition formation models Percolation-like behavior of some optimal coalition formation models

2002-09-02

arxiv.org/abs/cond-mat/0209041v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTeX

Scientific paper

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.

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