Gomes, Diogo; Gutierrez, Julian; Laurière, Mathieu Machine learning architectures for price formation models. (English) Zbl 1515.35277 Appl. Math. Optim. 88, No. 1, Paper No. 23, 41 p. (2023). MSC: 35Q89 49N80 68T07 PDFBibTeX XMLCite \textit{D. Gomes} et al., Appl. Math. Optim. 88, No. 1, Paper No. 23, 41 p. (2023; Zbl 1515.35277) Full Text: DOI arXiv
Bakaryan, Tigran; Gomes, Diogo; Morgado, Héctor Sánchez Discrete approximation of stationary mean field games. (English) Zbl 1519.35106 J. Dyn. Games 10, No. 1, 24-48 (2023). MSC: 35J47 35J62 35A01 PDFBibTeX XMLCite \textit{T. Bakaryan} et al., J. Dyn. Games 10, No. 1, 24--48 (2023; Zbl 1519.35106) Full Text: DOI arXiv
Ashrafyan, Yuri; Bakaryan, Tigran; Gomes, Diogo; Gutierrez, Julian A duality approach to a price formation MFG model. (English) Zbl 1515.49021 Minimax Theory Appl. 8, No. 1, 1-36 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N80 35F21 PDFBibTeX XMLCite \textit{Y. Ashrafyan} et al., Minimax Theory Appl. 8, No. 1, 1--36 (2023; Zbl 1515.49021) Full Text: arXiv Link
Di Francesco, Marco; Duisembay, Serikbolsyn; Gomes, Diogo Aguiar; Ribeiro, Ricardo Particle approximation of one-dimensional mean-field games with local interactions. (English) Zbl 1492.91042 Discrete Contin. Dyn. Syst. 42, No. 7, 3569-3591 (2022). MSC: 91A16 49N80 65C35 PDFBibTeX XMLCite \textit{M. Di Francesco} et al., Discrete Contin. Dyn. Syst. 42, No. 7, 3569--3591 (2022; Zbl 1492.91042) Full Text: DOI arXiv
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo A potential approach for planning mean-field games in one dimension. (English) Zbl 1490.35131 Commun. Pure Appl. Anal. 21, No. 6, 2147-2187 (2022). MSC: 35J47 35A01 35J50 PDFBibTeX XMLCite \textit{T. Bakaryan} et al., Commun. Pure Appl. Anal. 21, No. 6, 2147--2187 (2022; Zbl 1490.35131) Full Text: DOI arXiv
Ferreira, Rita; Gomes, Diogo; Tada, Teruo Existence of weak solutions to time-dependent mean-field games. (English) Zbl 1473.35226 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112470, 31 p. (2021). MSC: 35J60 35A01 PDFBibTeX XMLCite \textit{R. Ferreira} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112470, 31 p. (2021; Zbl 1473.35226) Full Text: DOI arXiv
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo Some estimates for the planning problem with potential. (English) Zbl 1461.91035 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 2, Paper No. 20, 23 p. (2021). MSC: 91A16 35Q91 35F50 PDFBibTeX XMLCite \textit{T. Bakaryan} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 2, Paper No. 20, 23 p. (2021; Zbl 1461.91035) Full Text: DOI arXiv
Ferreira, Rita; Gomes, Diogo; Yang, Xianjin Two-scale homogenization of a stationary mean-field game. (English) Zbl 1437.91054 ESAIM, Control Optim. Calc. Var. 26, Paper No. 17, 45 p. (2020). MSC: 91A16 35Q91 35B27 PDFBibTeX XMLCite \textit{R. Ferreira} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 17, 45 p. (2020; Zbl 1437.91054) Full Text: DOI arXiv
Gomes, Diogo; Sedjro, Marc One-dimensional, forward-forward mean-field games with congestion. (English) Zbl 1407.49036 Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 901-914 (2018). MSC: 49L20 35K40 35Q84 91A07 91A15 PDFBibTeX XMLCite \textit{D. Gomes} and \textit{M. Sedjro}, Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 901--914 (2018; Zbl 1407.49036) Full Text: DOI arXiv
Ferreira, Rita; Gomes, Diogo Existence of weak solutions to stationary mean-field games through variational inequalities. (English) Zbl 1418.91087 SIAM J. Math. Anal. 50, No. 6, 5969-6006 (2018). MSC: 91A23 91A07 90C33 PDFBibTeX XMLCite \textit{R. Ferreira} and \textit{D. Gomes}, SIAM J. Math. Anal. 50, No. 6, 5969--6006 (2018; Zbl 1418.91087) Full Text: DOI arXiv
Evangelista, David; Gomes, Diogo A. On the existence of solutions for stationary mean-field games with congestion. (English) Zbl 1403.35098 J. Dyn. Differ. Equations 30, No. 4, 1365-1388 (2018). MSC: 35J47 35A01 PDFBibTeX XMLCite \textit{D. Evangelista} and \textit{D. A. Gomes}, J. Dyn. Differ. Equations 30, No. 4, 1365--1388 (2018; Zbl 1403.35098) Full Text: DOI arXiv
Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana One-dimensional stationary mean-field games with local coupling. (English) Zbl 1397.91086 Dyn. Games Appl. 8, No. 2, 315-351 (2018). MSC: 91A23 91A07 91A25 49L25 PDFBibTeX XMLCite \textit{D. A. Gomes} et al., Dyn. Games Appl. 8, No. 2, 315--351 (2018; Zbl 1397.91086) Full Text: DOI arXiv
Almulla, Noha; Ferreira, Rita; Gomes, Diogo Two numerical approaches to stationary mean-field games. (English) Zbl 1391.91024 Dyn. Games Appl. 7, No. 4, 657-682 (2017). MSC: 91A07 91A23 65N06 35F21 PDFBibTeX XMLCite \textit{N. Almulla} et al., Dyn. Games Appl. 7, No. 4, 657--682 (2017; Zbl 1391.91024) Full Text: DOI arXiv
Gomes, Diogo A.; Nurbekyan, Levon; Sedjro, Marc One-dimensional forward-forward mean-field games. (English) Zbl 1371.49031 Appl. Math. Optim. 74, No. 3, 619-642 (2016). Reviewer: Igor V. Konnov (Kazan) MSC: 49N70 35B35 35B40 35F21 PDFBibTeX XMLCite \textit{D. A. Gomes} et al., Appl. Math. Optim. 74, No. 3, 619--642 (2016; Zbl 1371.49031) Full Text: DOI arXiv
Gomes, Diogo A.; Patrizi, Stefania Weakly coupled mean-field game systems. (English) Zbl 1358.35200 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 110-138 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q91 91A10 35J47 35A01 PDFBibTeX XMLCite \textit{D. A. Gomes} and \textit{S. Patrizi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 110--138 (2016; Zbl 1358.35200) Full Text: DOI arXiv
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor Time-dependent mean-field games in the superquadratic case. (English) Zbl 1339.35090 ESAIM, Control Optim. Calc. Var. 22, No. 2, 562-580 (2016). MSC: 35F21 35A01 35A09 91A23 35Q84 PDFBibTeX XMLCite \textit{D. A. Gomes} et al., ESAIM, Control Optim. Calc. Var. 22, No. 2, 562--580 (2016; Zbl 1339.35090) Full Text: DOI arXiv
Gomes, Diogo A.; Voskanyan, Vardan K. Extended deterministic mean-field games. (English) Zbl 1343.49060 SIAM J. Control Optim. 54, No. 2, 1030-1055 (2016). MSC: 49N70 49J55 49L25 91A23 91A15 91A07 PDFBibTeX XMLCite \textit{D. A. Gomes} and \textit{V. K. Voskanyan}, SIAM J. Control Optim. 54, No. 2, 1030--1055 (2016; Zbl 1343.49060) Full Text: DOI arXiv
Gomes, Diogo A.; Pimentel, Edgard Time-dependent mean-field games with logarithmic nonlinearities. (English) Zbl 1331.35009 SIAM J. Math. Anal. 47, No. 5, 3798-3812 (2015). MSC: 35A01 35A02 35A09 91A07 35F21 PDFBibTeX XMLCite \textit{D. A. Gomes} and \textit{E. Pimentel}, SIAM J. Math. Anal. 47, No. 5, 3798--3812 (2015; Zbl 1331.35009) Full Text: DOI arXiv