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; 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
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre Mean field games with state constraints: from mild to pointwise solutions of the PDE system. (English) Zbl 1467.49023 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 108, 33 p. (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49L25 49N60 49K40 49N90 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 108, 33 p. (2021; Zbl 1467.49023) 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
Bardi, Martino; Cardaliaguet, Pierre Convergence of some mean field games systems to aggregation and flocking models. (English) Zbl 1460.35349 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 204, Article ID 112199, 25 p. (2021). Reviewer: Rodica Luca (Iaşi) MSC: 35Q89 91A16 35R09 45K05 93C20 PDFBibTeX XMLCite \textit{M. Bardi} and \textit{P. Cardaliaguet}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 204, Article ID 112199, 25 p. (2021; Zbl 1460.35349) 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, 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; Masoero, Marco Weak KAM theory for potential MFG. (English) Zbl 1437.37098 J. Differ. Equations 268, No. 7, 3255-3298 (2020). MSC: 37K55 35Q89 35F21 91A16 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{M. Masoero}, J. Differ. Equations 268, No. 7, 3255--3298 (2020; Zbl 1437.37098) Full Text: DOI arXiv
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre C\(^{1,1}\)-smoothness of constrained solutions in the calculus of variations with application to mean field games. (English) Zbl 1433.49002 Math. Eng. (Springfield) 1, No. 1, 174-203 (2019). Reviewer: George Stoica (Saint John) MSC: 49J15 49J30 49J53 49N80 35F21 49N90 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., Math. Eng. (Springfield) 1, No. 1, 174--203 (2019; Zbl 1433.49002) 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
Briani, Ariela; Cardaliaguet, Pierre Stable solutions in potential mean field game systems. (English) Zbl 1390.35365 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 1, Paper No. 1, 26 p. (2018). MSC: 35Q91 49J20 49L25 PDFBibTeX XMLCite \textit{A. Briani} and \textit{P. Cardaliaguet}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 1, Paper No. 1, 26 p. (2018; Zbl 1390.35365) Full Text: DOI arXiv
Cardaliaguet, P. The convergence problem in mean field games with local coupling. (English) Zbl 1431.49043 Appl. Math. Optim. 76, No. 1, 177-215 (2017). MSC: 49N70 35F21 91A23 PDFBibTeX XMLCite \textit{P. Cardaliaguet}, Appl. Math. Optim. 76, No. 1, 177--215 (2017; Zbl 1431.49043) Full Text: DOI arXiv
Cardaliaguet, Pierre; Hadikhanloo, Saeed Learning in mean field games: the fictitious play. (English) Zbl 1365.35183 ESAIM, Control Optim. Calc. Var. 23, No. 2, 569-591 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 35Q91 35F21 49L25 91A07 91A23 68T05 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{S. Hadikhanloo}, ESAIM, Control Optim. Calc. Var. 23, No. 2, 569--591 (2017; Zbl 1365.35183) 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
Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo First order mean field games with density constraints: pressure equals price. (English) Zbl 1356.35257 SIAM J. Control Optim. 54, No. 5, 2672-2709 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35Q91 35F21 49J45 49N70 76B75 76N10 90C46 91A07 PDFBibTeX XMLCite \textit{P. Cardaliaguet} et al., SIAM J. Control Optim. 54, No. 5, 2672--2709 (2016; Zbl 1356.35257) Full Text: DOI arXiv
Cardaliaguet, Pierre Weak solutions for first order mean field games with local coupling. (English) Zbl 1329.49068 Bettiol, Piernicola (ed.) et al., Analysis and geometry in control theory and its applications. Invited contributions based on the presentations at the INdAM conference, Rome, Italy, June 9–13, 2014. Cham: Springer (ISBN 978-3-319-06916-6/hbk; 978-3-319-06917-3/ebook). Springer INdAM Series 11, 111-158 (2015). MSC: 49N70 91A23 91A15 PDFBibTeX XMLCite \textit{P. Cardaliaguet}, Springer INdAM Ser. 11, 111--158 (2015; Zbl 1329.49068) Full Text: DOI arXiv
Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela Second order mean field games with degenerate diffusion and local coupling. (English) Zbl 1344.49061 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1287-1317 (2015). MSC: 49N70 49J55 49J20 60H30 60H10 60J60 91A23 91A15 35K65 PDFBibTeX XMLCite \textit{P. Cardaliaguet} et al., NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1287--1317 (2015; Zbl 1344.49061) Full Text: DOI arXiv
Cardaliaguet, Pierre; Graber, P. Jameson Mean field games systems of first order. (English) Zbl 1319.35273 ESAIM, Control Optim. Calc. Var. 21, No. 3, 690-722 (2015). MSC: 35Q89 49K20 35F21 91A15 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{P. J. Graber}, ESAIM, Control Optim. Calc. Var. 21, No. 3, 690--722 (2015; Zbl 1319.35273) Full Text: DOI arXiv
Cardaliaguet, P. Long time average of first order mean field games and weak KAM theory. (English) Zbl 1314.91043 Dyn. Games Appl. 3, No. 4, 473-488 (2013). MSC: 91A25 35Q91 35F40 PDFBibTeX XMLCite \textit{P. Cardaliaguet}, Dyn. Games Appl. 3, No. 4, 473--488 (2013; Zbl 1314.91043) Full Text: DOI arXiv