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stability of leadhership in bottom-up hierarchical organizations :
The stability of a leadership against a growing internal opposition is studied in bottom-up hierarchical organizations. using a very simple model with bottom-up majority rule voting, the dinamics of power distribution at the various hierarchical levels is calculated within a probabilistic framework. Given a ledership at the top, the opposition weight from the hierarchy bottom is shown to fall off quickly while climbing up the hierarchy. It reaches zero after only a few hierarchichal levels. Indeed the voting process is found to obey a threshold dynamic with a deterministic top outcome.het.
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