Mean Field Games with Heterogeneous Groups: Application to Banking Systems
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-021-01955-3
Abstract: We study the system of heterogeneous lending and borrowing based on the relative average of log-capitalization given by the linear combination of the average within groups and ensemble average. Moreover, we describe the evolution of… read more here.
Keywords: lending borrowing; field games; heterogeneous groups; mean field ... See more keywords
One-Dimensional Stationary Mean-Field Games with Local Coupling
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DOI: 10.1007/s13235-017-0223-9
Abstract: A standard assumption in mean-field game (MFG) theory is that the coupling between the Hamilton–Jacobi equation and the transport equation is monotonically non-decreasing in the density of the population. In many cases, this assumption implies… read more here.
Keywords: mean field; one dimensional; dimensional stationary; field games ... See more keywords
Hypergraphon Mean Field Games
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DOI: 10.1063/5.0093758
Abstract: We propose an approach to modeling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as… read more here.
Keywords: mean field; field games; field; hypergraphon mean ... See more keywords
On Mean Field Games for Agents With Langevin Dynamics
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DOI: 10.1109/tcns.2019.2896975
Abstract: Mean field games (MFG) have emerged as a viable tool in the analysis of large-scale self-organizing networked systems. In particular, MFGs provide a game-theoretic optimal control interpretation of the emergent behavior of noncooperative agents. The… read more here.
Keywords: agents langevin; games agents; langevin dynamics; mean field ... See more keywords