We study the stochastic aggregation of linearly coupled Cucker–Smale (CS) particles on several asymmetric networks. Our proposed first-order stochastic CS model was motivated as a stochastic dynamics modeling on the rates of multiasset return. In this study, we consider three asymmetric networks and study sufficient conditions toward stochastic aggregation for each proposed network. We also provide several numerical and empirical examples and compare them with theoretical results. In financial applications, we regard particles or agents as analysts and study their herding behavior based on our proposed model.
The work of H. O. Bae is supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education and Technology (NRF‐2018R1D1A1A09082848). The work of S.‐Y. Ha is supported by NRF‐2020R1A2C3A01003881. The work of D. Kim is supported by a KIAS Individual grant (MG073901) at Korea Institute for Advanced Study. The work of Y. Kim is supported by NRF‐2016R1D1A1A09917026. The work of H. Lim is supported by NRF‐2019R1I1A3A03059382, and the work of J. Yoo is supported by NRF‐2017S1A58022379. This work does not have any conflicts of interest.The work of H. O. Bae is supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education and Technology (NRF-2018R1D1A1A09082848). The work of S.-Y. Ha is supported by NRF-2020R1A2C3A01003881. The work of D. Kim is supported by a KIAS Individual grant (MG073901) at Korea Institute for Advanced Study. The work of Y. Kim is supported by NRF-2016R1D1A1A09917026. The work of H. Lim is supported by NRF-2019R1I1A3A03059382, and the work of J. Yoo is supported by NRF-2017S1A58022379. This work does not have any conflicts of interest.
