2025/02/15 by Lan Vu, Tomoyuki Ichiba, Vu, Hoang +1
Economics, Econometrics and Finance · #Economic theories and models #FOS: Economics and business #Mathematical Finance (q-fin.MF)
paper · pdf · doi:10.48550/arxiv.2502.10666
openalex publication_date 2025/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the full dynamics of capital allocation and wealth distribution of heterogeneous agents in a frictional economy during booms and busts using tools from mean-field games. Two groups in our models, namely the expert and the household, are interconnected within and between their classes through the law of capital processes and are bound by financial constraints. Such a mean-field interaction explains why experts accumulate a lot of capital in the good times and reverse their behavior quickly in the bad times even in the absence of aggregate macro-shocks. When common noises from the market are involved, financial friction amplifies the mean-field effect and leads to capital fire sales by experts. In addition, the implicit interlink between and within heterogeneous groups demonstrates the slow economic recovery and characterizes the deviating and fear-of-missing-out (FOMO) behaviors of households compared to their counterparts. Our model also gives a fairly explicit representation of the equilibrium solution without exploiting complicated numerical approaches.