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Application of the Deffuant model in money exchange

2023/07/05 by Li, Hsin-Lun
#91C20 #91D25 #91D30 #93D50 #94C15 #Dynamical Systems (math.DS) #FOS: Economics and business #FOS: Mathematics #Mathematical Finance (q-fin.MF) #Probability (math.PR)

paper · doi:10.48550/arxiv.2307.02512

Abstract

A money transfer involves a buyer and a seller. A buyer buys goods or services from a seller. The money the buyer decreases is the same as that the seller increases. At each time step, a pair of socially connected agents are selected and transact in agreed money. We evolve the Deffuant model to a money exchange system and study circumstances under which asymptotic stability holds, or equal wealth can be achieved.

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