%0 Journal Article %1 Ichinomiya2012BouchaudMezard %A Ichinomiya, Takashi %D 2012 %J Physical Review E %K bouchaud-mezard-model, econophysics er-networks %N 3 %R 10.1103/PhysRevE.86.036111 %T Bouchaud-Mézard model on a random network %U http://dx.doi.org/10.1103/PhysRevE.86.036111 %V 86 %X We studied the Bouchaud-Mézard(BM) model, which was introduced to explain Pareto's law in a real economy, on a random network. Using ädiabatic and independent" assumptions, we analytically obtained the stationary probability distribution function of wealth. The results shows that wealth-condensation, indicated by the divergence of the variance of wealth, occurs at a larger \$J\$ than that obtained by the mean-field theory, where \$J\$ represents the strength of interaction between agents. We compared our results with numerical simulation results and found that they were in good agreement.

@article{Ichinomiya2012BouchaudMezard, abstract = {{We studied the Bouchaud-M\'ezard(BM) model, which was introduced to explain Pareto's law in a real economy, on a random network. Using "adiabatic and independent" assumptions, we analytically obtained the stationary probability distribution function of wealth. The results shows that wealth-condensation, indicated by the divergence of the variance of wealth, occurs at a larger \$J\$ than that obtained by the mean-field theory, where \$J\$ represents the strength of interaction between agents. We compared our results with numerical simulation results and found that they were in good agreement.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Ichinomiya, Takashi}, biburl = {https://www.bibsonomy.org/bibtex/2e9c4a19a4afc534d216dc352a847f023/nonancourt}, citeulike-article-id = {11238056}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.86.036111}, citeulike-linkout-1 = {http://arxiv.org/abs/1209.2467}, citeulike-linkout-2 = {http://arxiv.org/pdf/1209.2467}, day = 12, doi = {10.1103/PhysRevE.86.036111}, eprint = {1209.2467}, interhash = {a93429912c072fe00a958c2f925703d1}, intrahash = {e9c4a19a4afc534d216dc352a847f023}, issn = {1550-2376}, journal = {Physical Review E}, keywords = {bouchaud-mezard-model, econophysics er-networks}, month = sep, number = 3, posted-at = {2012-09-13 09:40:54}, priority = {2}, timestamp = {2019-08-01T16:21:21.000+0200}, title = {{Bouchaud-M\'{e}zard model on a random network}}, url = {http://dx.doi.org/10.1103/PhysRevE.86.036111}, volume = 86, year = 2012 }