On Erdos-Renyi networks the Extended Yard Sale model shows a continuous transition to local, not global, wealth condensation, with the richest agent's share falling as N^{-1/4} at small nonzero taxation.
The condition for the marginal case can be used to identify the critical point at which the condensation phase transition occurs
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Extended Yard Sale model of wealth distribution on Erd\H{o}s-R\'enyi random networks
On Erdos-Renyi networks the Extended Yard Sale model shows a continuous transition to local, not global, wealth condensation, with the richest agent's share falling as N^{-1/4} at small nonzero taxation.