Convergence of deep fictitious play for stochastic differential games

Article Properties
  • Publication Date
    2022/01/01
  • Indian UGC (journal)
  • Refrences
    71
  • Citations
    6
  • Jiequn Han Center for Computational Mathematics, Flatiron Institute, 162 5th Avenue, New York, NY, USADepartment of Mathematics, Princeton University, Princeton, NJ, USA
  • Ruimeng Hu Department of Mathematics, and Department of Statistics and Applied Probability, University of California, Santa Barbara, CA, USA
  • Jihao Long The Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA
Abstract
Cite
Han, Jiequn, et al. “Convergence of Deep Fictitious Play for Stochastic Differential Games”. Frontiers of Mathematical Finance, vol. 1, no. 2, 2022, p. 287, https://doi.org/10.3934/fmf.2021011.
Han, J., Hu, R., & Long, J. (2022). Convergence of deep fictitious play for stochastic differential games. Frontiers of Mathematical Finance, 1(2), 287. https://doi.org/10.3934/fmf.2021011
Han, Jiequn, Ruimeng Hu, and Jihao Long. “Convergence of Deep Fictitious Play for Stochastic Differential Games”. Frontiers of Mathematical Finance 1, no. 2 (2022): 287. https://doi.org/10.3934/fmf.2021011.
Han J, Hu R, Long J. Convergence of deep fictitious play for stochastic differential games. Frontiers of Mathematical Finance. 2022;1(2):287.
Refrences
Title Journal Journal Categories Citations Publication Date
10.1007/BFb0007334
Market Mechanisms in Online Peer-to-Peer Lending

Management Science
  • Technology: Manufactures: Production management. Operations management
  • Social Sciences: Commerce: Business: Personnel management. Employment management
  • Social Sciences: Industries. Land use. Labor: Management. Industrial management
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
173 2017
A stochastic differential reinsurance game

Journal of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
48 2010
Deep Learning-Based Numerical Methods for High-Dimensional Parabolic Partial Differential Equations and Backward Stochastic Differential Equations Communications in Mathematics and Statistics
  • Science: Mathematics
356 2017
A review of stochastic algorithms with continuous value function approximation and some new approximate policy iteration algorithms for multidimensional continuous applications Journal of Control Theory and Applications 18 2011
Citations
Title Journal Journal Categories Citations Publication Date
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
A computational stochastic dynamic model to assess the risk of breakup in a romantic relationship

Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
A class of dimension-free metrics for the convergence of empirical measures Stochastic Processes and their Applications
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2023
Dynamics of market making algorithms in dealer markets: Learning and tacit collusion

Mathematical Finance
  • Social Sciences: Finance
  • Social Sciences: Economic theory. Demography: Economics as a science
  • Social Sciences: Statistics
  • Science: Mathematics
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
1 2023
Recent Developments in Machine Learning Methods for Stochastic Control and Games SSRN Electronic Journal 3 2022
Citations Analysis
The category Science: Mathematics 4 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Dynamics of Market Making Algorithms in Dealer Markets: Learning and Tacit Collusion and was published in 2022. The most recent citation comes from a 2024 study titled Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence. This article reached its peak citation in 2023, with 3 citations. It has been cited in 5 different journals. Among related journals, the SSRN Electronic Journal cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year