Edit Profile (opens in new tab) Cardaliaguet, Pierre Compute Distance To: Compute Author ID: cardaliaguet.pierre Published as: Cardaliaguet, Pierre; Cardaliaguet, P. Documents Indexed: 119 Publications since 1992, including 1 Book 3 Contributions as Editor · 1 Further Contribution Co-Authors: 64 Co-Authors with 98 Joint Publications 1,204 Co-Co-Authors all top 5 Co-Authors 23 single-authored 15 Quincampoix, Marc 10 Cannarsa, Piermarco 10 Porretta, Alessio 9 Rainer, Catherine 9 Saint-Pierre, Patrick 8 Souganidis, Panagiotis E. 8 Tahraoui, Rabah 7 Ley, Olivier 4 Lions, Pierre-Louis 3 Armstrong, Scott N. 3 Barles, Guy 3 Buckdahn, Rainer 3 Lasry, Jean-Michel 3 Monneau, Régis 3 Monteillet, Aurélien 3 Plaskacz, Sławomir 3 Tonon, Daniela 2 Barron, Emmanuel Nicholas 2 Capuani, Rossana 2 Delarue, François 2 Forcadel, Nicolas 2 Giorgieri, Elena 2 Jimenez, Chloé 2 Santambrogio, Filippo 1 Achdou, Yves 1 Alvarez, Olivier 1 Bardi, Martino 1 Bettiol, Piernicola 1 Biton, Samuel 1 Briand, Philippe 1 Briani, Ariela 1 Carlier, Guillaume 1 Castelpietra, Marco 1 Chaudru De Raynal, Paul-Eric 1 Cirant, Marco 1 Crasta, Graziano 1 Cressman, Ross 1 Da Lio, Francesca 1 Dacorogna, Bernard 1 Dirr, Nicolas Peter 1 Gabor, Grzegorz 1 Gangbo, Wilfrid 1 Georgy, Nicolas 1 Hadikhanloo, Saeed 1 Hu, Ying 1 Jensen, Robert R. 1 Laraki, Rida 1 Le Bris, Claude 1 Lehalle, Charles-Albert 1 Marchi, Claudio 1 Masoero, Marco 1 Mendico, Cristian 1 Mészáros, Alpár Richárd 1 Nazaret, Bruno 1 Pasquignon, Denis 1 Prinari, Francesca 1 Rosenberg, Dinah 1 Rouy, Elisabeth 1 Salvarani, Francesco 1 Seeger, Benjamin 1 Silvestre, Luis E. 1 Sinestrari, Carlo 1 Sorin, Sylvain 1 Souquière, Anne 1 Vieille, Nicolas all top 5 Serials 14 SIAM Journal on Control and Optimization 8 Applied Mathematics and Optimization 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Calculus of Variations and Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Interfaces and Free Boundaries 3 Dynamic Games and Applications 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 International Journal of Game Theory 2 Journal of Differential Equations 2 Mathematics of Operations Research 2 Transactions of the American Mathematical Society 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 1 Annales Polonici Mathematici 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of the American Mathematical Society 1 Stochastic Processes and their Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Set-Valued Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Game Theory Review 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annals of the International Society of Dynamic Games 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Mathematics and Financial Economics 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 Springer INdAM Series 1 Journal of Dynamics and Games 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering all top 5 Fields 69 Calculus of variations and optimal control; optimization (49-XX) 65 Partial differential equations (35-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Systems theory; control (93-XX) 12 Probability theory and stochastic processes (60-XX) 6 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,554 times in 776 Documents Cited by ▼ Year ▼ Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043Cardaliaguet, P. 67 2013 Long time average of mean field games. Zbl 1270.35098Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio 67 2012 Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela 64 2015 The master equation and the convergence problem in mean field games. Zbl 1430.91002Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis 64 2019 Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A. 55 2013 Mean field games systems of first order. Zbl 1319.35273Cardaliaguet, Pierre; Graber, P. Jameson 54 2015 Some recent aspects of differential game theory. Zbl 1214.91013Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M. 38 2011 Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 36 1999 Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358Cardaliaguet, P.; Quincampoix, M. 36 2008 Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine 35 2004 Stochastic differential games with asymmetric information. Zbl 1170.91308Cardaliaguet, Pierre; Rainer, Catherine 34 2009 Weak solutions for first order mean field games with local coupling. Zbl 1329.49068Cardaliaguet, Pierre 34 2015 Differential games with asymmetric information. Zbl 1293.91020Cardaliaguet, P. 32 2007 First order mean field games with density constraints: pressure equals price. Zbl 1356.35257Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo 29 2016 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 29 2014 Pursuit differential games with state constraints. Zbl 1140.91320Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 27 2001 Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015Cannarsa, Piermarco; Cardaliaguet, Pierre 27 2004 On a continuous-time game with incomplete information. Zbl 1232.91008Cardaliaguet, Pierre; Rainer, Catherine 26 2009 Mean field game of controls and an application to trade crowding. Zbl 1397.91084Cardaliaguet, Pierre; Lehalle, Charles-Albert 26 2018 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148Alvarez, O.; Cardaliaguet, P.; Monneau, R. 26 2005 Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031Armstrong, Scott; Cardaliaguet, Pierre 24 2018 Learning in mean field games: the fictitious play. Zbl 1365.35183Cardaliaguet, Pierre; Hadikhanloo, Saeed 24 2017 Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P. 23 1997 Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side. Zbl 1255.35066Cardaliaguet, Pierre; Silvestre, Luis 23 2012 A double obstacle problem arising in differential game theory. Zbl 1173.49033Cardaliaguet, Pierre 21 2009 Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029Cardaliaguet, P.; Carlier, G.; Nazaret, B. 21 2013 A differential game with two players and one target. Zbl 0853.90136Cardaliaguet, Pierre 19 1996 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 18 2011 Global existence results and uniqueness for dislocation equations. Zbl 1158.49029Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis 18 2008 A continuous time approach for the asymptotic value in two-person zero-sum repeated games. Zbl 1261.91005Cardaliaguet, Pierre; Laraki, Rida; Sorin, Sylvain 18 2012 A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications. Zbl 1089.35076Cannarsa, P.; Cardaliaguet, P.; Crasta, G.; Giorgieri, E. 17 2005 Conditional essential suprema with applications. Zbl 1049.60003Barron, E. N.; Cardaliaguet, P.; Jensen, R. 16 2003 A discussion about the homogenization of moving interfaces. Zbl 1180.35070Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 16 2009 Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008Cardaliaguet, Pierre; Plaskacz, Slawomir 16 2003 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126Cardaliaguet, Pierre; Souganidis, Panagiotis E. 16 2013 Differential games through viability theory: old and recent results. Zbl 1152.91360Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 14 2007 A representation formula for the mean curvature motion. Zbl 1074.93037Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M. 14 2001 Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc 14 2014 Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc 14 2006 Long time behavior of the master equation in mean field game theory. Zbl 1428.35607Cardaliaguet, Pierre; Porretta, Alessio 14 2019 Stable solutions in potential mean field game systems. Zbl 1390.35365Briani, Ariela; Cardaliaguet, Pierre 14 2018 The convergence problem in mean field games with local coupling. Zbl 1431.49043Cardaliaguet, P. 13 2017 On the strict concavity of the harmonic radius in dimension \(N\geq 3\). Zbl 1027.31003Cardaliaguet, Pierre; Tahraoui, Rabah 13 2002 Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032Armstrong, Scott N.; Cardaliaguet, Pierre 12 2015 Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020Cardaliaguet, Pierre; Rainer, Catherine 12 2012 On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo 11 2009 Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 11 2000 Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052Cannarsa, Piermarco; Cardaliaguet, Pierre 11 2010 Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\). Zbl 1201.35089Cardaliaguet, Pierre 11 2010 Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021Cardaliaguet, Pierre; Plaskacz, Slawomir 10 2000 Some algorithms for differential games with two players and one target. Zbl 0821.90145Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 10 1994 On front propagation problems with nonlocal terms. Zbl 1029.53081Cardaliaguet, Pierre 9 2000 A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030Cardaliaguet, Pierre 9 2009 Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N. 9 1999 Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien 9 2009 Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127Cardaliaguet, P.; Rainer, C. 9 2013 Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227Cardaliaguet, Pierre; Tahraoui, Rabah 8 2002 Front propagation problems with nonlocal terms. II. Zbl 1002.35064Cardaliaguet, Pierre 8 2001 Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas 8 2016 Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037Cardaliaguet, Pierre 7 2009 Some flows in shape optimization. Zbl 1157.35500Cardaliaguet, Pierre; Ley, Olivier 7 2007 Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela 7 2015 Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien 7 2009 On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025Cardaliaguet, Pierre; Souganidis, Panagiotis E. 7 2017 A differential game with a blind player. Zbl 1259.49062Cardaliaguet, Pierre; Souquière, Anne 6 2012 Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with superquadratic growth in the gradient. Zbl 1218.49044Cardaliaguet, Pierre; Rainer, Catherine 6 2011 Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213Cardaliaguet, P.; Cirant, M.; Porretta, A. 6 2020 On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606Cardaliaguet, Pierre 6 2019 Mean field games: the master equation and the mean field limit. Zbl 1358.35199Cardaliaguet, Pierre 6 2016 Perimeter estimates for reachable sets of control systems. Zbl 1114.93018Cannarsa, Piermarco; Cardaliaguet, Pierre 6 2006 C\(^{1,1}\)-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre 6 2019 On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359Cardaliaguet, Pierre 5 2007 Sufficient conditions for non-emptiness of the viability kernel. (Conditions suffisantes de non-vacuité du noyau de viabilité.) Zbl 0761.34016Cardaliaguet, Pierre 5 1992 Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 5 1994 Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc 5 2003 Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Zbl 1115.58015Cannarsa, P.; Cardaliaguet, P.; Giorgieri, E. 5 2007 Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R. 5 2007 Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. Zbl 1124.35014Cardaliaguet, Pierre; Marchi, Claudio 5 2006 On the energy of a flow arising in shape optimization. Zbl 1159.35076Cardaliaguet, Pierre; Ley, Olivier 5 2008 Representations formulas for some differential games with asymmetric information. Zbl 1146.91010Cardaliaguet, P. 5 2008 Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre 5 2021 Nonsmooth semipermeable Barriers, Isaacs’ equation, and application to a differential game with one target and two players. Zbl 0907.90292Cardaliaguet, P. 4 1997 On the equivalence between rank-one convexity and polyconvexity for isotropic sets of \(\mathbb{R}^{2\times 2}\). (Sur l’équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de \(\mathbb{R}^{2\times 2}\).) Zbl 1064.26005Cardaliaguet, Pierre; Tahraoui, Rabah 4 2000 On the (in)efficiency of MFG equilibria. Zbl 1422.91079Cardaliaguet, Pierre; Rainer, Catherine 4 2019 Supremal representation of \(L^\infty\) functionals. Zbl 1091.49012Cardaliaguet, Pierre; Prinari, Francesca 4 2005 Radon-Nikodym theorem in \(L^\infty\). Zbl 0984.28002Barron, E. N.; Cardaliaguet, P.; Jensen, R. R. 3 2000 On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097Cardaliaguet, Pierre; Pasquignon, Denis 3 2001 Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). I. Zbl 1004.49007Cardaliaguet, Pierre; Tahraoui, Rabah 3 2002 Viscosity solutions of increasing flows of sets. Application of the Hele-Shaw problem for power-law fluids. Zbl 1114.35149Cardaliaguet, Pierre; Rouy, Elisabeth 3 2006 A segregation problem in multi-population mean field games. Zbl 1417.91110Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela 3 2017 An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010Cardaliaguet, Pierre; Rainer, Catherine 3 2020 Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 2 1995 Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). II. Zbl 1004.49008Cardaliaguet, Pierre; Tahraoui, Rabah 2 2002 Viability and invariance for differential games with applications to Hamilton-Jacobi-Isaacs equations. Zbl 0856.90150Cardaliaguet, Pierre; Plaskacz, Sławomir 2 1996 Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040Cardaliaguet, Pierre; Souganidis, Panagiotis E. 2 2015 Differential games with state-constraints. Zbl 1057.91009Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 2 2002 Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier 2 2008 Regularity properties of attainable sets under state constraints. Zbl 1206.49038Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P. 2 2008 Weak KAM theory for potential MFG. Zbl 1437.37098Cardaliaguet, Pierre; Masoero, Marco 2 2020 Convergence of some mean field games systems to aggregation and flocking models. Zbl 1460.35349Bardi, Martino; Cardaliaguet, Pierre 2 2021 Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre 5 2021 Convergence of some mean field games systems to aggregation and flocking models. Zbl 1460.35349Bardi, Martino; Cardaliaguet, Pierre 2 2021 From heterogeneous microscopic traffic flow models to macroscopic models. Zbl 1461.35100Cardaliaguet, Pierre; Forcadel, Nicolas 1 2021 Remarks on Nash equilibria in mean field game models with a major player. Zbl 1446.35213Cardaliaguet, P.; Cirant, M.; Porretta, A. 6 2020 An example of multiple mean field limits in ergodic differential games. Zbl 1434.91010Cardaliaguet, Pierre; Rainer, Catherine 3 2020 Weak KAM theory for potential MFG. Zbl 1437.37098Cardaliaguet, Pierre; Masoero, Marco 2 2020 Forward and backward stochastic differential equations with normal constraints in law. Zbl 1454.60075Briand, Philippe; Cardaliaguet, Pierre; Chaudru de Raynal, Paul-Éric; Hu, Ying 2 2020 An introduction to mean field game theory. Zbl 1457.91058Cardaliaguet, Pierre; Porretta, Alessio 1 2020 The master equation and the convergence problem in mean field games. Zbl 1430.91002Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis 64 2019 Long time behavior of the master equation in mean field game theory. Zbl 1428.35607Cardaliaguet, Pierre; Porretta, Alessio 14 2019 On the convergence of open loop Nash equilibria in mean field games with a local coupling. Zbl 1428.35606Cardaliaguet, Pierre 6 2019 C\(^{1,1}\)-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre 6 2019 On the (in)efficiency of MFG equilibria. Zbl 1422.91079Cardaliaguet, Pierre; Rainer, Catherine 4 2019 Mean field game of controls and an application to trade crowding. Zbl 1397.91084Cardaliaguet, Pierre; Lehalle, Charles-Albert 26 2018 Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions. Zbl 1392.35031Armstrong, Scott; Cardaliaguet, Pierre 24 2018 Stable solutions in potential mean field game systems. Zbl 1390.35365Briani, Ariela; Cardaliaguet, Pierre 14 2018 Learning in mean field games: the fictitious play. Zbl 1365.35183Cardaliaguet, Pierre; Hadikhanloo, Saeed 24 2017 The convergence problem in mean field games with local coupling. Zbl 1431.49043Cardaliaguet, P. 13 2017 On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025Cardaliaguet, Pierre; Souganidis, Panagiotis E. 7 2017 A segregation problem in multi-population mean field games. Zbl 1417.91110Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela 3 2017 First order mean field games with density constraints: pressure equals price. Zbl 1356.35257Cardaliaguet, Pierre; Mészáros, Alpár R.; Santambrogio, Filippo 29 2016 Markov games with frequent actions and incomplete information – the limit case. Zbl 1347.91049Cardaliaguet, Pierre; Rainer, Catherine; Rosenberg, Dinah; Vieille, Nicolas 8 2016 Mean field games: the master equation and the mean field limit. Zbl 1358.35199Cardaliaguet, Pierre 6 2016 Second order mean field games with degenerate diffusion and local coupling. Zbl 1344.49061Cardaliaguet, Pierre; Graber, P. Jameson; Porretta, Alessio; Tonon, Daniela 64 2015 Mean field games systems of first order. Zbl 1319.35273Cardaliaguet, Pierre; Graber, P. Jameson 54 2015 Weak solutions for first order mean field games with local coupling. Zbl 1329.49068Cardaliaguet, Pierre 34 2015 Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1320.35032Armstrong, Scott N.; Cardaliaguet, Pierre 12 2015 Sobolev regularity for the first order Hamilton-Jacobi equation. Zbl 1326.49060Cardaliaguet, Pierre; Porretta, Alessio; Tonon, Daniela 7 2015 Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040Cardaliaguet, Pierre; Souganidis, Panagiotis E. 2 2015 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 29 2014 Pure and random strategies in differential game with incomplete informations. Zbl 1304.49075Cardaliaguet, Pierre; Jimenez, Chloé; Quincampoix, Marc 14 2014 Long time average of first order mean field games and weak KAM theory. Zbl 1314.91043Cardaliaguet, P. 67 2013 Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A. 55 2013 Geodesics for a class of distances in the space of probability measures. Zbl 1279.49029Cardaliaguet, P.; Carlier, G.; Nazaret, B. 21 2013 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126Cardaliaguet, Pierre; Souganidis, Panagiotis E. 16 2013 Pathwise strategies for stochastic differential games with an erratum to “Stochastic differential games with asymmetric information”. Zbl 1272.93127Cardaliaguet, P.; Rainer, C. 9 2013 Long time average of mean field games. Zbl 1270.35098Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio 67 2012 Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side. Zbl 1255.35066Cardaliaguet, Pierre; Silvestre, Luis 23 2012 A continuous time approach for the asymptotic value in two-person zero-sum repeated games. Zbl 1261.91005Cardaliaguet, Pierre; Laraki, Rida; Sorin, Sylvain 18 2012 Games with incomplete information in continuous time and for continuous types. Zbl 1273.91020Cardaliaguet, Pierre; Rainer, Catherine 12 2012 A differential game with a blind player. Zbl 1259.49062Cardaliaguet, Pierre; Souquière, Anne 6 2012 Regularity results for eikonal-type equations with nonsmooth coefficients. Zbl 1254.49022Cannarsa, Piermarco; Cardaliaguet, Pierre 1 2012 Advances in dynamic games. Theory, applications, and numerical methods for differential and stochastic games. Most papers based on the presentations at the 14th international symposium, Banff, Canada, June 2010. Zbl 1252.91002 1 2012 Some recent aspects of differential game theory. Zbl 1214.91013Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M. 38 2011 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 18 2011 Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with superquadratic growth in the gradient. Zbl 1218.49044Cardaliaguet, Pierre; Rainer, Catherine 6 2011 Optimal transport with convex obstacle. Zbl 1214.49041Cardaliaguet, Pierre; Jimenez, Chloé 1 2011 Viscosity solutions for a polymer crystal growth model. Zbl 1246.49026Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien 1 2011 Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052Cannarsa, Piermarco; Cardaliaguet, Pierre 11 2010 Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\). Zbl 1201.35089Cardaliaguet, Pierre 11 2010 Stochastic differential games with asymmetric information. Zbl 1170.91308Cardaliaguet, Pierre; Rainer, Catherine 34 2009 On a continuous-time game with incomplete information. Zbl 1232.91008Cardaliaguet, Pierre; Rainer, Catherine 26 2009 A double obstacle problem arising in differential game theory. Zbl 1173.49033Cardaliaguet, Pierre 21 2009 A discussion about the homogenization of moving interfaces. Zbl 1180.35070Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 16 2009 On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo 11 2009 A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable. Zbl 1175.35030Cardaliaguet, Pierre 9 2009 Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien 9 2009 Numerical approximation and optimal strategies for differential games with lack of information on one side. Zbl 1179.91037Cardaliaguet, Pierre 7 2009 Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien 7 2009 Deterministic differential games under probability knowledge of initial condition. Zbl 1152.91358Cardaliaguet, P.; Quincampoix, M. 36 2008 Global existence results and uniqueness for dislocation equations. Zbl 1158.49029Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis 18 2008 On the energy of a flow arising in shape optimization. Zbl 1159.35076Cardaliaguet, Pierre; Ley, Olivier 5 2008 Representations formulas for some differential games with asymmetric information. Zbl 1146.91010Cardaliaguet, P. 5 2008 Nonfattening condition for the generalized evolution by mean curvature and applications. Zbl 1154.53041Biton, Samuel; Cardaliaguet, Pierre; Ley, Olivier 2 2008 Regularity properties of attainable sets under state constraints. Zbl 1206.49038Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P. 2 2008 Differential games with asymmetric information. Zbl 1293.91020Cardaliaguet, P. 32 2007 Differential games through viability theory: old and recent results. Zbl 1152.91360Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 14 2007 Some flows in shape optimization. Zbl 1157.35500Cardaliaguet, Pierre; Ley, Olivier 7 2007 On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line. Zbl 1152.91359Cardaliaguet, Pierre 5 2007 Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Zbl 1115.58015Cannarsa, P.; Cardaliaguet, P.; Giorgieri, E. 5 2007 Dislocation dynamics: a non-local moving boundary. Zbl 1119.35012Cardaliaguet, P.; Da Lio, F.; Forcadel, N.; Monneau, R. 5 2007 Zero-sum state constrained differential games: Existence of value for Bolza problem. Zbl 1103.49019Bettiol, Piernicola; Cardaliaguet, Pierre; Quincampoix, Marc 14 2006 Perimeter estimates for reachable sets of control systems. Zbl 1114.93018Cannarsa, Piermarco; Cardaliaguet, Pierre 6 2006 Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. Zbl 1124.35014Cardaliaguet, Pierre; Marchi, Claudio 5 2006 Viscosity solutions of increasing flows of sets. Application of the Hele-Shaw problem for power-law fluids. Zbl 1114.35149Cardaliaguet, Pierre; Rouy, Elisabeth 3 2006 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148Alvarez, O.; Cardaliaguet, P.; Monneau, R. 26 2005 A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications. Zbl 1089.35076Cannarsa, P.; Cardaliaguet, P.; Crasta, G.; Giorgieri, E. 17 2005 Supremal representation of \(L^\infty\) functionals. Zbl 1091.49012Cardaliaguet, Pierre; Prinari, Francesca 4 2005 Nash equilibrium payoffs for nonzero-sum stochastic differential games. Zbl 1101.91010Buckdahn, Rainer; Cardaliaguet, Pierre; Rainer, Catherine 35 2004 Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015Cannarsa, Piermarco; Cardaliaguet, Pierre 27 2004 Conditional essential suprema with applications. Zbl 1049.60003Barron, E. N.; Cardaliaguet, P.; Jensen, R. 16 2003 Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game. Zbl 1084.91008Cardaliaguet, Pierre; Plaskacz, Slawomir 16 2003 Equilibria and strict equilibria of multivalued maps on noninvariant sets. Zbl 1099.54018Cardaliaguet, Pierre; Gabor, Grzegorz; Quincampoix, Marc 5 2003 On the strict concavity of the harmonic radius in dimension \(N\geq 3\). Zbl 1027.31003Cardaliaguet, Pierre; Tahraoui, Rabah 13 2002 Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. Zbl 1029.35227Cardaliaguet, Pierre; Tahraoui, Rabah 8 2002 Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). I. Zbl 1004.49007Cardaliaguet, Pierre; Tahraoui, Rabah 3 2002 Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). II. Zbl 1004.49008Cardaliaguet, Pierre; Tahraoui, Rabah 2 2002 Differential games with state-constraints. Zbl 1057.91009Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 2 2002 Pursuit differential games with state constraints. Zbl 1140.91320Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 27 2001 A representation formula for the mean curvature motion. Zbl 1074.93037Buckdahn, R.; Cardaliaguet, P.; Quincampoix, M. 14 2001 Front propagation problems with nonlocal terms. II. Zbl 1002.35064Cardaliaguet, Pierre 8 2001 On the approximation of front propagation problems with nonlocal terms. Zbl 0992.65097Cardaliaguet, Pierre; Pasquignon, Denis 3 2001 On the strict concavity of the harmonic radius in dimension \(N\geqq 3\). (Sur la stricte concavité du rayon harmonique en dimension \(N\geqq 3\).) Zbl 0999.31001Cardaliaguet, Pierre; Tahraoui, Rabah 1 2001 Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 11 2000 Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians. Zbl 0966.49021Cardaliaguet, Pierre; Plaskacz, Slawomir 10 2000 On front propagation problems with nonlocal terms. Zbl 1029.53081Cardaliaguet, Pierre 9 2000 On the equivalence between rank-one convexity and polyconvexity for isotropic sets of \(\mathbb{R}^{2\times 2}\). (Sur l’équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de \(\mathbb{R}^{2\times 2}\).) Zbl 1064.26005Cardaliaguet, Pierre; Tahraoui, Rabah 4 2000 Radon-Nikodym theorem in \(L^\infty\). Zbl 0984.28002Barron, E. N.; Cardaliaguet, P.; Jensen, R. R. 3 2000 Extended Hardy-Littlewood inequalities and applications to the calculus of variations. Zbl 1004.49009Cardaliaguet, Pierre; Tahraoui, Rabah 1 2000 Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 36 1999 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 833 Authors 54 Cardaliaguet, Pierre 32 Quincampoix, Marc 25 Gomes, Diogo Luís Aguiar 18 Cirant, Marco 16 Porretta, Alessio 15 Cannarsa, Piermarco 14 Cesaroni, Annalisa 13 Rainer, Catherine 11 Crasta, Graziano 11 Souganidis, Panagiotis E. 10 Averboukh, Yuriĭ Vladimirovich 10 Buckdahn, Rainer 9 Ferreira, Rita 9 Nurbekyan, Levon 9 Tran Vinh Hung 9 Yu, Yifeng 8 Achdou, Yves 8 El Hajj, Ahmad 8 Gensbittel, Fabien 8 Laurière, Mathieu 8 Ley, Olivier 8 Marigonda, Antonio 8 Santambrogio, Filippo 7 Delarue, François 7 Li, Juan 7 Marchi, Claudio 7 Monneau, Régis 7 Novaga, Matteo 7 Silva, Francisco J. 6 Bardi, Martino 6 Bensoussan, Alain 6 Bettiol, Piernicola 6 Camilli, Fabio 6 Carmona, René A. 6 Cecchin, Alekos 6 Dirr, Nicolas Peter 6 Frankowska, Hélène 6 Gangbo, Wilfrid 6 Goffi, Alessandro 6 Jimenez, Chloé 6 Kumkov, Sergey S. 6 Lasry, Jean-Michel 6 Malusa, Annalisa 6 Mannucci, Paola 6 Pimentel, Edgard A. 6 Saint-Pierre, Patrick 6 Serea, Oana-Silvia 5 Armstrong, Scott N. 5 Aubin, Jean-Pierre 5 Barles, Guy 5 Bayraktar, Erhan 5 Bressan, Alberto 5 Carlier, Guillaume 5 Forcadel, Nicolas 5 Gabor, Grzegorz 5 Huang, Minyi 5 Kolokoltsov, Vassili N. 5 Lacker, Daniel 5 Lions, Pierre-Louis 5 Mészáros, Alpár Richárd 5 Mitake, Hiroyoshi 5 Patsko, Valerii S. 5 Voskanyan, Vardan K. 5 Wu, Xiaochi 5 Xin, Jack X. 4 Bagagiolo, Fabio 4 Bertucci, Charles 4 Bokanowski, Olivier 4 Cacace, Simone 4 Dapogny, Charles 4 Gao, Hongwei 4 Gloria, Antoine 4 Goreac, Dan 4 Grün, Christine 4 Igbida, Noureddine 4 Kolpakova, Ekaterina A. 4 Lygeros, John 4 Monteillet, Aurélien 4 Mu, Rui 4 Oliu-Barton, Miquel 4 Pogodaev, Nikolaĭ Il’ich 4 Sánchez-Morgado, Héctor 4 Seeger, Benjamin 4 Seube, Nicolas 4 Świȩch, Andrzej 4 Tahraoui, Rabah 4 Tonon, Daniela 4 Vinter, Richard B. 4 Yilmaz, Atilla 4 Zidani, Hasnaa 3 Allaire, Grégoire 3 Başar, Tamer 3 Bonnet, Benoît 3 Caffarelli, Luis Ángel 3 Capuani, Rossana 3 Carlini, Elisabetta 3 Cavagnari, Giulia 3 Chambolle, Antonin 3 Cohen, Asaf 3 Croce, Gisella ...and 733 more Authors all top 5 Cited in 176 Serials 51 Dynamic Games and Applications 41 Journal of Differential Equations 39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 35 SIAM Journal on Control and Optimization 30 Applied Mathematics and Optimization 25 Archive for Rational Mechanics and Analysis 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Calculus of Variations and Partial Differential Equations 22 NoDEA. Nonlinear Differential Equations and Applications 21 Journal of Mathematical Analysis and Applications 17 Communications in Partial Differential Equations 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 SIAM Journal on Mathematical Analysis 12 Transactions of the American Mathematical Society 12 Journal of Dynamics and Games 11 Automatica 11 Journal of Optimization Theory and Applications 11 Mathematics of Operations Research 11 Stochastic Processes and their Applications 10 International Journal of Game Theory 10 The Annals of Applied Probability 9 Minimax Theory and its Applications 6 The Annals of Probability 6 SIAM Journal on Numerical Analysis 6 Systems & Control Letters 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Mathematics 5 Journal of Computational Physics 5 Journal of Functional Analysis 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Set-Valued Analysis 5 Electronic Journal of Probability 4 Mathematics of Computation 4 Bulletin des Sciences Mathématiques 4 International Game Theory Review 4 Computational Management Science 4 Stochastics 4 Discrete and Continuous Dynamical Systems. 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Serie VII 2 Applied Mathematics Letters 2 Journal of Global Optimization 2 Applied Mathematical Modelling 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Nonlinear Science 2 St. Petersburg Mathematical Journal 2 Journal of Convex Analysis 2 Finance and Stochastics 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Mathematics and Financial Economics 2 Optimization Letters 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Set-Valued and Variational Analysis 2 Mathematical Control and Related Fields 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Research in the Mathematical Sciences 2 Annals of PDE 2 Journal de l’École Polytechnique – Mathématiques 2 Probability, Uncertainty and Quantitative Risk 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Annales de l’Institut Fourier 1 Archiv der Mathematik ...and 76 more Serials all top 5 Cited in 42 Fields 360 Partial differential equations (35-XX) 360 Calculus of variations and optimal control; optimization (49-XX) 340 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 137 Probability theory and stochastic processes (60-XX) 123 Systems theory; control (93-XX) 61 Numerical analysis (65-XX) 39 Ordinary differential equations (34-XX) 39 Operations research, mathematical programming (90-XX) 35 Mechanics of deformable solids (74-XX) 25 Fluid mechanics (76-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Differential geometry (53-XX) 18 Operator theory (47-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Biology and other natural sciences (92-XX) 14 Real functions (26-XX) 14 Measure and integration (28-XX) 14 Mechanics of particles and systems (70-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Computer science (68-XX) 7 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 5 General topology (54-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year