Cardaliaguet, Pierre; Delarue, François Selected topics in mean field games. (English) Zbl 07823081 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3660-3703 (2023). MSC: 91A16 35Q89 60H30 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{F. Delarue}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3660--3703 (2023; Zbl 07823081) Full Text: DOI OA License
Cardaliaguet, Pierre; Cirant, Marco; Porretta, Alessio Splitting methods and short time existence for the master equations in mean field games. (English) Zbl 1522.35511 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1823-1918 (2023). MSC: 35Q89 35K55 49N70 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{P. Cardaliaguet} et al., J. Eur. Math. Soc. (JEMS) 25, No. 5, 1823--1918 (2023; Zbl 1522.35511) Full Text: DOI arXiv
Cardaliaguet, Pierre; Souganidis, Panagiotis E. On first order mean field game systems with a common noise. (English) Zbl 1498.91040 Ann. Appl. Probab. 32, No. 3, 2289-2326 (2022). MSC: 91A16 60H15 91A15 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{P. E. Souganidis}, Ann. Appl. Probab. 32, No. 3, 2289--2326 (2022; Zbl 1498.91040) Full Text: DOI arXiv
Cardaliaguet, Pierre; Souganidis, Panagiotis Monotone solutions of the master equation for mean field games with idiosyncratic noise. (English) Zbl 1497.35471 SIAM J. Math. Anal. 54, No. 4, 4198-4237 (2022). MSC: 35Q89 35D40 35D30 35A01 35A02 35R15 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{P. Souganidis}, SIAM J. Math. Anal. 54, No. 4, 4198--4237 (2022; Zbl 1497.35471) Full Text: DOI arXiv
Cardaliaguet, Pierre; Mendico, Cristian Ergodic behavior of control and mean field games problems depending on acceleration. (English) Zbl 1458.35051 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112185, 41 p. (2021). MSC: 35B40 35F21 35Q91 37K55 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{C. Mendico}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112185, 41 p. (2021; Zbl 1458.35051) Full Text: DOI arXiv
Cardaliaguet, Pierre; Porretta, Alessio An introduction to mean field game theory. (English) Zbl 1457.91058 Cardaliaguet, Pierre (ed.) et al., Mean field games. Cetraro, Italy, June 10–14, 2019. Lecture notes given at the summer school. Cham: Springer. Lect. Notes Math. 2281, 1-158 (2020). MSC: 91A16 35Q91 49N80 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{A. Porretta}, Lect. Notes Math. 2281, 1--158 (2020; Zbl 1457.91058) Full Text: DOI
Cardaliaguet, P.; Cirant, M.; Porretta, A. Remarks on Nash equilibria in mean field game models with a major player. (English) Zbl 1446.35213 Proc. Am. Math. Soc. 148, No. 10, 4241-4255 (2020). MSC: 35Q91 35K55 49N70 93E20 91A16 PDFBibTeX XMLCite \textit{P. Cardaliaguet} et al., Proc. Am. Math. Soc. 148, No. 10, 4241--4255 (2020; Zbl 1446.35213) Full Text: DOI arXiv
Cardaliaguet, Pierre; Rainer, Catherine An example of multiple mean field limits in ergodic differential games. (English) Zbl 1434.91010 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 25, 19 p. (2020). MSC: 91A16 91A23 91A20 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{C. Rainer}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 25, 19 p. (2020; Zbl 1434.91010) Full Text: DOI arXiv
Cardaliaguet, Pierre; Rainer, Catherine On the (in)efficiency of MFG equilibria. (English) Zbl 1422.91079 SIAM J. Control Optim. 57, No. 4, 2292-2314 (2019). MSC: 91A07 91A23 35Q91 93E20 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{C. Rainer}, SIAM J. Control Optim. 57, No. 4, 2292--2314 (2019; Zbl 1422.91079) Full Text: DOI arXiv
Cardaliaguet, Pierre; Lehalle, Charles-Albert Mean field game of controls and an application to trade crowding. (English) Zbl 1397.91084 Math. Financ. Econ. 12, No. 3, 335-363 (2018). MSC: 91A23 93E20 91A15 91G10 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{C.-A. Lehalle}, Math. Financ. Econ. 12, No. 3, 335--363 (2018; Zbl 1397.91084) Full Text: DOI arXiv
Cardaliaguet, Pierre Mean field games: the master equation and the mean field limit. (English) Zbl 1358.35199 Sémin. Laurent Schwartz, EDP Appl. 2015-2016, Exp. No. 17, 10 p. (2016). MSC: 35Q91 35F21 91A23 49N70 PDFBibTeX XMLCite \textit{P. Cardaliaguet}, Sémin. Laurent Schwartz, EDP Appl. 2015--2016, Exp. No. 17, 10 p. (2016; Zbl 1358.35199) Full Text: DOI
Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M. Some recent aspects of differential game theory. (English) Zbl 1214.91013 Dyn. Games Appl. 1, No. 1, 74-114 (2011). MSC: 91A23 91A15 60H30 49L25 PDFBibTeX XMLCite \textit{R. Buckdahn} et al., Dyn. Games Appl. 1, No. 1, 74--114 (2011; Zbl 1214.91013) Full Text: DOI
Cardaliaguet, Pierre A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. (English) Zbl 1175.35030 ESAIM, Control Optim. Calc. Var. 15, No. 2, 367-376 (2009). Reviewer: Vasile Iftode (Bucureşti) MSC: 35F20 49L25 PDFBibTeX XMLCite \textit{P. Cardaliaguet}, ESAIM, Control Optim. Calc. Var. 15, No. 2, 367--376 (2009; Zbl 1175.35030) Full Text: DOI arXiv EuDML