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http://hdl.handle.net/10397/81166
Title: | Linear-quadratic-Gaussian mixed mean-field games with heterogeneous input constraints | Authors: | Hu, Y Huang, J Nie, T |
Issue Date: | 2018 | Source: | SIAM journal on control and optimization, 2018, v. 56, no. 4, p. 2835-2877 | Abstract: | We consider a class of linear-quadratic-Gaussian mean-field games having a major agent and numerous heterogeneous minor agents in the presence of mean-field interactions. The individual admissible controls are constrained in closed convex subsets Γ k of R m . The decentralized strategies of individual agents and the consistency condition system are represented in a unified manner through a class of mean-field forward-backward stochastic differential equations involving projection operators on Γ k . The well-posedness of the consistency system is established in both the local and global cases through the contraction mapping and discounting methods, respectively. A related ε-Nash-equilibrium property is also verified. | Keywords: | Forward-backward stochastic differential equation Input constraint Linear-quadratic mixed mean-field games Projection operator Ε-Nash equilibrium |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on control and optimization | ISSN: | 0363-0129 | EISSN: | 1095-7138 | DOI: | 10.1137/17M1151420 | Rights: | © 2018 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Control and Optimization in Volume 56, Issue 4, published by the Society for Industrial and Applied Mathematics (SIAM) The following publication Hu, Y., Huang, J., & Nie, T. (2018). Linear-Quadratic-Gaussian Mixed Mean-field Games with Heterogeneous Input Constraints. SIAM Journal on Control and Optimization, 56(4), 2835-2877 is available at https://doi.org/10.1137/17M1151420 |
Appears in Collections: | Journal/Magazine Article |
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