Edit Profile (opens in new tab) Bensoussan, Alain Co-Author Distance Author ID: bensoussan.alain Published as: Bensoussan, Alain; Bensoussan, A. Homepage: http://www.cityu.edu.hk/seem/abensous/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 385 Publications since 1967, including 20 Books and 15 Additional arXiv Preprints 21 Contributions as Editor · 5 Further Contributions Biographic References: 3 Publications Co-Authors: 174 Co-Authors with 318 Joint Publications 5,614 Co-Co-Authors all top 5 Co-Authors 88 single-authored 58 Lions, Jacques-Louis 41 Frehse, Jens 40 Yam, Sheung Chi Phillip 29 Sethi, Suresh P. 16 Çakanyıldırım, Metin 13 Hoe, SingRu 13 Papanicolaou, George C. 9 Mertz, Laurent 8 Mitter, Sanjoy K. 8 Proth, Jean-Marie 7 Boccardo, Lucio 7 Crouhy, Michel G. 7 Turi, Janos 6 Menaldi, Jose-Luis 6 Tapiero, Charles S. 6 Yan, ZhongFeng 5 Blankenship, Gilmer L. 5 Galai, Dan 5 Huang, Ziyu 5 Nagai, Hideo 5 Temam, Roger Meyer 4 Aubin-Frankowski, Pierre-Cyril 4 Chau, Man Ho Michael 4 Chen, Shaokuan 4 Delfour, Michel Claude 4 Elliott, Robert James 4 Friedman, Avner 4 Glowinski, Roland 4 Kantarcioglu, Murat 4 Liu, Jingzhen 4 Murat, François 4 Rascanu, Aurel 4 Yiu, Ka Fai Cedric 3 Aubin, Jean-Pierre 3 Brouste, Alexandre 3 Da Prato, Giuseppe 3 Li, Meng 3 Li, Yiqun 3 Minjárez-Sosa, Jesus Adolfo 3 Peng, Shige 3 Shi, Ruixia 3 Siu, Chi Chung 3 Tang, Shanjian 3 Wong, Kwok Chuen 3 Wong, Tak Kwong 2 Baras, John S. 2 Benkherouf, Lakdere 2 Bertrand, Pierre Raphael 2 Borkar, Vivek Shripad 2 Breit, Dominic 2 Bulíček, Miroslav 2 Chevalier-Roignant, Benoît 2 Chow, Pao-Liu 2 Chutani, Anshuman 2 Delarue, François 2 Diltz, J. David 2 Djehiche, Boualem 2 Ekeland, Ivar 2 Goursat, Maurice 2 Grün, Christine 2 Julien, Hugues 2 Kim, Joohyun 2 Kleindorfer, Paul R. 2 Kokotovic, Petar V. 2 Koo, Hyeng Keun 2 Liu, John J. 2 Rivera, Alejandro 2 Royal, Andrew J. 2 Runggaldier, Wolfgang J. 2 Skaaning, Sonny 2 Song, Huaming 2 Sung, K. C. J. 2 Tai, Ho-Man 2 Tembine, Hamidou 2 Tran, Minh-Binh 2 Viot, Michel 2 Vogelgesang, Jens 2 Yam, Phillip S. C. 2 Yang, Hui 2 Yuan, Hongwei 2 Yuan, Jiguang 2 Yung, Siu Pang 1 Acharya, Subas 1 Ackermann, Juergen E. 1 Aggoun, Lakhdar 1 Ąkanyildirim, Metin 1 Anderson, Brian David Outram 1 Åström, Karl Johan 1 Balchen, Jens Glad 1 Barmish, B. Ross 1 Başar, Tamer 1 Blondel, Vincent D. 1 Bossavit, Alain 1 Bouleau, Nicolas 1 Brézis, Haïm 1 Bultez, Alain V. 1 Byrnes, Christopher Ian 1 Cadenillas, Abel 1 Caines, Peter Edwin 1 Cartiaux, F. B. ...and 107 more Co-Authors all top 5 Serials 19 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 18 SIAM Journal on Control and Optimization 15 Applied Mathematics and Optimization 10 Lecture Notes in Control and Information Sciences 8 IEEE Transactions on Automatic Control 6 Journal of Optimization Theory and Applications 6 Operations Research 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Mathematical Finance 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications in Information and Systems 5 SIAM Journal on Financial Mathematics 4 Stochastics 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Asymptotic Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Méthodes Mathématiques de l’Informatique 3 Journal of Mathematical Analysis and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Systems & Control Letters 3 Stochastic Processes and their Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Studies in Mathematics and its Applications 3 Systems & Control: Foundations & Applications 3 Risk and Decision Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Automatica 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Management Science 2 Le Matematiche 2 Mathematics of Operations Research 2 RAIRO, Automatique, Systems Analysis and Control 2 SIAM Journal on Numerical Analysis 2 Operations Research Letters 2 Annals of Operations Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 RAIRO. Automatique-Productique, Informatique Industrielle 2 Stochastics and Stochastics Reports 2 Journal of Convex Analysis 2 Applied Mathematical Finance 2 Finance and Stochastics 2 Communications on Pure and Applied Analysis 2 Journal of Industrial and Management Optimization 2 Stochastics 2 SIAM Journal on Control 2 Studies in Probability, Optimization and Statistics 2 Dynamic Games and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 INFOR 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Naval Research Logistics 1 Numerical Functional Analysis and Optimization 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Large Scale Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Numerical Mathematics 1 Computers & Operations Research 1 Journal of Economic Dynamics & Control 1 Mathematical and Computer Modelling 1 CWI Quarterly 1 Stochastic Hydrology and Hydraulics 1 Mathematica Bohemica 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 European Journal of Operational Research 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Matemática Aplicada e Computacional 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Philosophical Transactions of the Royal Society of London. Series A 1 Georgian Mathematical Journal 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Discrete and Continuous Dynamical Systems 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 European Journal of Control 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Markov Processes and Related Fields 1 Journal of Applied Statistics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Evolution Equations 1 AMRX. Applied Mathematics Research eXpress ...and 22 more Serials all top 5 Fields 193 Systems theory; control (93-XX) 144 Calculus of variations and optimal control; optimization (49-XX) 123 Probability theory and stochastic processes (60-XX) 107 Partial differential equations (35-XX) 103 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Operations research, mathematical programming (90-XX) 22 General and overarching topics; collections (00-XX) 17 Ordinary differential equations (34-XX) 17 Statistics (62-XX) 16 Numerical analysis (65-XX) 8 History and biography (01-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 293 Publications have been cited 7,802 times in 6,316 Documents Cited by ▼ Year ▼ Asymptotic analysis for periodic structures. Zbl 0404.35001 Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 1,267 1978 Boundary layer analysis in homogeneization of diffusion equations with Dirichlet conditions in the half space. Zbl 0411.60078 Bensoussan, A.; Lions, J. L.; Papanicolaou, G. 597 1978 Mean field games and mean field type control theory. Zbl 1287.93002 Bensoussan, Alain; Frehse, Jens; Yam, Phillip 352 2013 Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002 Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 280 2007 Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001 Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 233 2011 Applications des inéquations variationnelles en contrôle stochastique. Zbl 0411.49002 Bensoussan, A.; Lions, J.-L. 204 1978 Equations stochastiques du type Navier-Stokes. Zbl 0265.60094 Bensoussan, A.; Temam, R. 198 1973 Applications of variational inequalities in stochastic control. Transl. from the French. Zbl 0478.49002 Bensoussan, Alain; Lions, Jacques-Louis 182 1982 Stochastic control of partially observable systems. Zbl 0776.93094 Bensoussan, Alain 180 1992 Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002 Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 137 1992 Contrôle impulsionnel et inéquations quasi variationnelles. Zbl 0491.93002 Bensoussan, A.; Lions, J. L. 136 1982 Stochastic Navier-Stokes equations. Zbl 0836.35115 Bensoussan, A. 133 1995 Boundary layers and homogenization of transport processes. Zbl 0408.60100 Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C. 125 1979 Lectures on stochastic control. I: Variational methods in stochastic control. Zbl 0505.93078 Bensoussan, A. 118 1982 Perturbation methods in optimal control. Transl. from the French by C. Tomson. Zbl 0648.49001 Bensoussan, Alain 102 1988 On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042 Bensoussan, A.; Boccardo, L.; Murat, F. 102 1988 Linear-quadratic mean field games. Zbl 1343.91010 Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. 98 2016 Nouvelle formulation de problèmes de contrôle impulsionnel et applications. Zbl 0266.49007 Bensoussan, Alain; Lions, Jacques-Louis 85 1973 A class of non-zero-sum stochastic differential investment and reinsurance games. Zbl 1297.93180 Bensoussan, Alain; Siu, Chi Chung; Yam, Sheung Chi Phillip; Yang, Hailiang 81 2014 Stochastic control by functional analysis methods. Zbl 0474.93002 Bensoussan, Alain 80 1982 Contrôle impulsionnel et inéquations quasi-variationnelles stationnaires. Zbl 0264.49004 Bensoussan, Alain; Goursat, Maurice; Lions, Jacques-Louis 79 1973 On the theory of option pricing. Zbl 0554.90019 Bensoussan, A. 78 1984 Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016 Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 76 1993 Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions. Zbl 0516.60072 Bensoussan, A. 73 1983 Stochastic maximum principle for distributed parameter systems. Zbl 0519.93042 Bensoussan, A. 73 1983 Regularity results for nonlinear elliptic systems and applications. Zbl 1055.35002 Bensoussan, Alain; Frehse, Jens 69 2002 The master equation in mean field theory. Zbl 1325.35232 Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip 64 2015 Filtrage optimal des systèmes linéaires. (Optimal filtering of linear systems). Zbl 0231.93022 Bensoussan, Alain 58 1971 Nouvelles méthodes en contrôle impulsionnel. Zbl 0339.93033 Bensoussan, A.; Lions, J. L. 57 1975 The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042 Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P. 56 2015 Equations aux dérivées partielles stochastiques non linéaires. I. Zbl 0241.35009 Bensoussan, A.; Temam, R. 50 1972 Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. Zbl 0574.93067 Bensoussan, A.; van Schuppen, J. H. 49 1985 Points de Nash dans le cas de fonctionnelles quadratiques et jeux différentiels linéaires à N personnes. Zbl 0254.90066 Bensoussan, A. 46 1974 Stochastic inertial manifold. Zbl 0854.60059 Bensoussan, Alain; Flandoli, Franco 46 1995 Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0373.49004 Bensoussan, A.; Lions, J.-L. 44 1977 On the interpretation of the master equation. Zbl 1379.60063 Bensoussan, A.; Frehse, J.; Yam, S. C. P. 44 2017 Optimality of \((s,S)\) policy with compound Poisson and diffusion demands: A quasi-variational inequalities approach. Zbl 1151.90304 Bensoussan, Alain; Liu, R. H.; Sethi, Suresh P. 43 2006 Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120 Bensoussan, Alain; Friedman, Avner 43 1974 Time-consistent portfolio selection under short-selling prohibition: from discrete to continuous setting. Zbl 1348.60096 Bensoussan, A.; Wong, K. C.; Yam, S. C. P.; Yung, S. P. 43 2014 Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0324.49005 Bensoussan, A.; Lions, J. L. 42 1975 Some existence results for stochastic partial differential equations. Zbl 0793.60067 Bensoussan, A. 42 1992 Management applications of modern control theory. Zbl 0343.90001 Bensoussan, A.; Hurst, E. Gerald jun.; Näslund, B. 41 1974 Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114 Bensoussan, A.; Yam, S. C. P.; Zhang, Z. 40 2015 Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029 Bensoussan, Alain; Friedman, Avner 36 1977 On Bellman equations of ergodic control in \(\mathbb{R}{}^ n\). Zbl 0779.35038 Bensoussan, A.; Frehse, J. 35 1992 Mathematical theory of production planning. Zbl 0564.90010 Bensoussan, Alain; Crouhy, Michel; Proth, Jean-Marie 35 1983 Hybrid control and dynamic programming. Zbl 0897.49022 Bensoussan, A.; Menaldi, J. L. 34 1997 Mean field games with a dominating player. Zbl 1348.49031 Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P. 33 2016 Lectures on stochastic control. II: Discrete time stochastic control and approximation of continuous time stochastic control problems. Zbl 0505.93079 Bensoussan, A. 32 1982 Contrôle impulsionnel et inéquations quasi-variationnelles d’évolution. Zbl 0264.49005 Bensoussan, Alain; Lions, Jacques-Louis 32 1973 Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089 Bensoussan, A.; Glowinski, R.; Rǎşcanu, A. 32 1992 Dynamic programming and inventory control. Zbl 1252.90001 Bensoussan, Alain 30 2011 Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028 Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P. 29 2015 Stochastic games for \(N\) players. Zbl 0977.91006 Bensoussan, A.; Frehse, J. 27 2000 Stochastic variational inequalities in infinite dimensional spaces. Zbl 0887.60063 Bensoussan, Alain; Rascanu, Aurel 27 1997 Nonlinear elliptic systems in stochastic game theory. Zbl 0531.93052 Bensoussan, A.; Frehse, J. 27 1984 Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040 Bensoussan, A.; Glowinski, R.; Rascanu, A. 26 1990 Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and \(H^ 1\) regularity. Zbl 0851.35079 Bensoussan, A.; Frehse, J. 25 1996 Survey on the state of systems and control. Zbl 1177.93001 Blondel, Vincent; Gevers, Michel; Lindquist, Anders 25 1995 Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375 Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P. 25 2009 Impulsive control in management: Prospects and applications. Zbl 0465.90022 Bensoussan, A.; Tapiero, C. S. 23 1982 Regularity theory for systems of partial differential equations with Neumann boundary conditions. Zbl 1140.35407 Bensoussan, A.; Frehse, J. 22 2002 Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021 Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 21 2017 Dynamic observers as asymptotic limits of recursive filters: Special cases. Zbl 0658.93017 Baras, J. S.; Bensoussan, A.; James, M. R. 21 1988 Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141 Graber, P. Jameson; Bensoussan, Alain 21 2018 Problèmes de temps d’arret optimal et inéquations variationnelles paraboliques. Zbl 0341.60032 Bensoussan, A.; Lions, J. L. 20 1973 Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049 Kolokoltsov, V. N.; Bensoussan, A. 20 2016 Stochastic production planning with production constraints. Zbl 0561.90044 Bensoussan, A.; Sethi, S. P.; Vickson, R.; Derzko, N. 20 1984 Local solutions for stochastic Navier-Stokes equations. Zbl 0972.76021 Bensoussan, Alain; Frehse, Jens 20 2000 Optimality of an \((s,S)\) policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215 Benkherouf, Lakdere; Bensoussan, Alain 19 2009 \(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008 Bensoussan, A.; Boccardo, L.; Murat, F. 18 1992 Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247 Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung 18 2016 Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039 Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P. 18 2010 Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046 Bensoussan, Alain; Boccardo, Lucio 17 2002 Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007 Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges 17 1975 Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040 Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P. 17 2013 Difference equations on weighted graphs. Zbl 1068.05039 Bensoussan, Alain; Menaldi, José-Luis 16 2005 Smooth solutions of systems of quasilinear parabolic equations. Zbl 1078.35022 Bensoussan, Alain; Frehse, Jens 16 2002 Optimization of sensors’ location in a distributed filtering problem. Zbl 0287.93020 Bensoussan, Alain 16 1972 Control problem on space of random variables and master equation. Zbl 1450.35305 Bensoussan, Alain; Yam, Sheung Chi Phillip 16 2019 Optimal control of stochastic linear distributed parameter systems. Zbl 0276.93058 Bensoussan, A.; Viot, M. 15 1975 Systems of partial differential equations and stochastic control. Zbl 0548.35037 Bensoussan, A. 15 1981 Threshold-type policies for real options using regime-switching models. Zbl 1255.91444 Bensoussan, Alain; Yan, ZhongFeng; Yin, G. 15 2012 Applied stochastic control in econometrics and management science. Zbl 0435.00020 14 1980 Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Zbl 0602.35030 Bensoussan, A.; Boccardo, L.; Murat, F. 14 1986 Stochastic hybrid control. Zbl 0967.93097 Bensoussan, A.; Menaldi, J. L. 14 2000 Mean field control and mean field game models with several populations. Zbl 1406.35416 Bensoussan, Alain; Huang, Tao; Laurière, Mathieu 14 2018 A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008 Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P. 13 2007 Optimum inventory and product quality control with deterministic and stochastic deterioration - an application of distributed parameters control systems. Zbl 0301.93072 Bensoussan, Alain; Nissen, Georges; Tapiero, Charles S. 13 1975 Some results on risk-sensitive control with full observation. Zbl 0896.93035 Bensoussan, A.; Frehse, J.; Nagai, H. 13 1998 A paradox in time-consistency in the mean-variance problem? Zbl 1426.91240 Bensoussan, Alain; Wong, Kwok Chuen; Yam, Sheung Chi Phillip 13 2019 Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029 Bensoussan, Alain; Turi, Janos 13 2008 Estimation and control of dynamical systems. Zbl 1401.37001 Bensoussan, Alain 13 2018 Sequential capacity expansion options. Zbl 1455.91268 Bensoussan, Alain; Chevalier-Roignant, Benoît 13 2019 Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015 Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P. 12 2007 Singular perturbations and asymptotic analysis in control systems. Zbl 0605.00020 12 1987 Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063 Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P. 12 2014 A stochastic impulse control problem with quadratic growth Hamiltonian and the corresponding quasi variational inequality. Zbl 0474.49013 Bensoussan, A.; Frehse, J.; Mosco, U. 11 1982 Analysis and optimization of systems. (Proceedings of the 8th international conference organized by INRIA, June 8-10, 1988 in Antibes, France). Zbl 0668.00022 11 1988 Homogenization of a class of stochastic partial differential equations. Zbl 0737.60054 Bensoussan, A. 11 1991 Control on Hilbert spaces and application to some mean field type control problems. Zbl 07924326 Bensoussan, Alain; Graber, P. Jameson; Yam, Sheung Chi Phillip 1 2024 Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 1523.49031 Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang 2 2023 Dynamic mean-variance problem with frictions. Zbl 1484.91414 Bensoussan, Alain; Ma, Guiyuan; Siu, Chi Chung; Yam, Sheung Chi Phillip 5 2022 Machine learning and control theory. Zbl 1493.68292 Bensoussan, Alain; Li, Yiqun; Dinh Phan Cao Nguyen; Minh-Binh Tran; Yam, Sheung Chi Phillip; Zhou, Xiang 3 2022 Control in Hilbert space and first-order mean field type problem. Zbl 1502.93005 Bensoussan, Alain; Cheung, Hang; Yam, Sheung Chi Phillip 2 2022 A risk extended version of Merton’s optimal consumption and portfolio selection. Zbl 1493.91110 Bensoussan, Alain; Hoe, SingRu (Celine); Kim, Joohyun; Yan, Zhongfeng 1 2022 Inter-temporal mutual-fund management. Zbl 1522.91208 Bensoussan, Alain; Cheung, Ka Chun; Li, Yiqun; Yam, Sheung Chi Phillip 1 2022 Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026 Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui 9 2021 Mathematical formulation of a dynamical system with dry friction subjected to external forces. Zbl 1506.70024 Bensoussan, A.; Brouste, A.; Cartiaux, F. B.; Mathey, C.; Mertz, L. 2 2021 Does performance-sensitive debt mitigate debt overhang? Zbl 1475.91394 Bensoussan, Alain; Chevalier-Roignant, Benoît; Rivera, Alejandro 2 2021 Mean field approach to stochastic control with partial information. Zbl 1476.93156 Bensoussan, Alain; Yam, Sheung Chi Phillip 2 2021 Mean field verification theorem. Zbl 1496.49019 Bensoussan, Alain; Hoe, SingRu (Celine); Kim, Joohyun; Yan, Zhongfeng 1 2021 Mean-field-type games with jump and regime switching. Zbl 1437.91050 Bensoussan, Alain; Djehiche, Boualem; Tembine, Hamidou; Yam, Sheung Chi Phillip 6 2020 Mean field games with parametrized followers. Zbl 1483.91031 Bensoussan, Alain; Cass, Thomas; Chau, Man Ho Michael; Yam, Sheung Chi Phillip 3 2020 Optimal periodic replenishment policies for spectrally positive Lévy demand processes. Zbl 1461.60032 Pérez, José-Luis; Yamazaki, Kazutoshi; Bensoussan, Alain 3 2020 Control problem on space of random variables and master equation. Zbl 1450.35305 Bensoussan, Alain; Yam, Sheung Chi Phillip 16 2019 A paradox in time-consistency in the mean-variance problem? Zbl 1426.91240 Bensoussan, Alain; Wong, Kwok Chuen; Yam, Sheung Chi Phillip 13 2019 Sequential capacity expansion options. Zbl 1455.91268 Bensoussan, Alain; Chevalier-Roignant, Benoît 13 2019 Feedback Stackelberg-Nash equilibria in mixed leadership games with an application to cooperative advertising. Zbl 1427.49045 Bensoussan, Alain; Chen, Shaokuan; Chutani, Anshuman; Sethi, Suresh P.; Siu, Chi Chung; Phillip Yam, Sheung Chi 8 2019 A mean-variance approach to capital investment optimization. Zbl 1411.91481 Bensoussan, Alain; Hoe, SingRu (Celine); Yan, Zhongfeng 2 2019 Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141 Graber, P. Jameson; Bensoussan, Alain 21 2018 Mean field control and mean field game models with several populations. Zbl 1406.35416 Bensoussan, Alain; Huang, Tao; Laurière, Mathieu 14 2018 Estimation and control of dynamical systems. Zbl 1401.37001 Bensoussan, Alain 13 2018 Ergodic control for a mean reverting inventory model. Zbl 1412.35187 Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain 4 2018 Backward stochastic dynamics with a subdifferential operator and non-local parabolic variational inequalities. Zbl 1381.37063 Bensoussan, Alain; Li, Yiqun; Yam, Sheung Chi Phillip 3 2018 Optimal inventory control with jump diffusion and nonlinear dynamics in the demand. Zbl 1378.35176 Liu, Jingzhen; Cedric Yiu, Ka Fai; Bensoussan, Alain 2 2018 On the interpretation of the master equation. Zbl 1379.60063 Bensoussan, A.; Frehse, J.; Yam, S. C. P. 44 2017 Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021 Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P. 21 2017 Real options with competition and regime switching. Zbl 1414.91403 Bensoussan, Alain; Hoe, Singru; Yan, Zhongfeng; Yin, George 8 2017 Optimality of \((s,S)\) policies with nonlinear processes. Zbl 1360.90016 Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain 3 2017 Base stock list price policy in continuous time. Zbl 1360.93767 Bensoussan, Alain; Skaaning, Sonny 1 2017 Linear-quadratic mean field games. Zbl 1343.91010 Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. 98 2016 Mean field games with a dominating player. Zbl 1348.49031 Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P. 33 2016 Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049 Kolokoltsov, V. N.; Bensoussan, A. 20 2016 Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247 Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung 18 2016 Parabolic Bellman-systems with mean field dependence. Zbl 1342.35054 Bensoussan, Alain; Breit, Dominic; Frehse, Jens 4 2016 Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise. Zbl 1456.74061 Bensoussan, A.; Mertz, L.; Yam, S. C. P. 3 2016 The optimal mean variance problem with inflation. Zbl 1327.90362 Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain 2 2016 Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041 1 2016 The master equation in mean field theory. Zbl 1325.35232 Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip 64 2015 The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042 Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P. 56 2015 Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114 Bensoussan, A.; Yam, S. C. P.; Zhang, Z. 40 2015 Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028 Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P. 29 2015 Entrepreneurial decisions on effort and project with a nonconcave objective function. Zbl 1329.90071 Bensoussan, Alain; Cadenillas, Abel; Koo, Hyeng Keun 5 2015 An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise. Zbl 1337.60148 Bensoussan, Alain; Feau, Cyril; Mertz, Laurent; Yam, Sheung Chi Phillip 3 2015 Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise. Zbl 1328.35235 Mertz, Laurent; Bensoussan, Alain 3 2015 Future perspectives in risk models and finance. Zbl 1304.91010 1 2015 Technical note: Managing nonperishable inventories with learning about demand arrival rate through stockout times. Zbl 1327.90005 Bensoussan, Alain; Guo, Pengfei 1 2015 A class of non-zero-sum stochastic differential investment and reinsurance games. Zbl 1297.93180 Bensoussan, Alain; Siu, Chi Chung; Yam, Sheung Chi Phillip; Yang, Hailiang 81 2014 Time-consistent portfolio selection under short-selling prohibition: from discrete to continuous setting. Zbl 1348.60096 Bensoussan, A.; Wong, K. C.; Yam, S. C. P.; Yung, S. P. 43 2014 Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063 Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P. 12 2014 Optimal decision making in multi-product dual sourcing procurement with demand forecast updating. Zbl 1348.90042 Song, Hua-ming; Yang, Hui; Bensoussan, Alain; Zhang, Ding 4 2014 Mean-variance pre-commitment policies revisited via a mean-field technique. Zbl 1314.91189 Bensoussan, A.; Wong, K. C.; Yam, S. C. P. 3 2014 Stochastic differential games with a varying number of players. Zbl 1307.91032 Bensoussan, Alain; Frehse, Jens; Grün, Christine 2 2014 A generalized linear model approach to seasonal aspects of wind speed modeling. Zbl 1514.62439 Bensoussan, Alain; Bertrand, Pierre; Brouste, Alexandre 2 2014 Control and Nash games with mean field effect. Zbl 1331.49036 Bensoussan, Alain; Frehse, Jens 1 2014 Mean field games and mean field type control theory. Zbl 1287.93002 Bensoussan, Alain; Frehse, Jens; Yam, Phillip 352 2013 Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040 Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P. 17 2013 Control and Nash games with mean field effect. Zbl 1264.49028 Bensoussan, Alain; Frehse, Jens 10 2013 Linear quadratic differential games with mixed leadership: the open-loop solution. Zbl 1262.91010 Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P. 7 2013 Real options, ambiguity, risk and insurance. Zbl 1272.91002 6 2013 Optimizing production and inventory decisions in a supply chain with lot size, production rate and lead time interactions. Zbl 1334.90014 Song, Hua-Ming; Yang, Hui; Bensoussan, Alain 3 2013 Optimal inventory control with shrinkage and observed sales. Zbl 1302.90009 Bensoussan, Alain; Çakanyıldırım, Metin; Li, Meng; Sethi, Suresh P. 2 2013 Threshold-type policies for real options using regime-switching models. Zbl 1255.91444 Bensoussan, Alain; Yan, ZhongFeng; Yin, G. 15 2012 Impulse control with random reaction periods: a central bank intervention problem. Zbl 1258.90030 Bensoussan, Alain; Long, Hongwei; Perera, Sandun; Sethi, Suresh 10 2012 An analytic approach to the ergodic theory of a stochastic variational inequality. Zbl 1248.60078 Bensoussan, Alain; Mertz, Laurent 5 2012 Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise. Zbl 1310.74011 Bensoussan, Alain; Mertz, Laurent; Yam, S. C. P. 5 2012 Existence and compactness for weak solutions to Bellman systems with critical growth. Zbl 1255.35106 Bensoussan, Alain; Bulíček, Miroslav; Frehse, Jens 4 2012 Nash and Stackelberg differential games. Zbl 1254.91051 Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens 2 2012 Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps. Zbl 1261.60067 Bensoussan, Alain; Jasso-Fuentes, Héctor; Menozzi, Stéphane; Mertz, Laurent 1 2012 Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001 Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 233 2011 Dynamic programming and inventory control. Zbl 1252.90001 Bensoussan, Alain 30 2011 Filtering for discrete-time Markov processes and applications to inventory control with incomplete information. Zbl 1228.60051 Bensoussan, A.; Çakanyıldırım, M.; Sethi, S. P. 1 2011 Computation of approximate optimal policies in a partially observed inventory model with rain checks. Zbl 1234.90003 Bensoussan, Alain; Cakanyildirim, Metin; Sethi, Suresh P.; Shi, Ruixia 1 2011 Average cost optimality in inventory models with dynamic information delays. Zbl 1368.90005 Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.; Wang, Mingzheng; Zhang, Hanqin 1 2011 Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039 Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P. 18 2010 Systems of Bellman equations to stochastic differential games with non-compact coupling. Zbl 1191.35275 Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens 8 2010 Real options games in complete and incomplete markets with several decision makers. Zbl 1203.91319 Bensoussan, Alain; Diltz, J. David; Hoe, SingRu 6 2010 Inventory control with an order-time constraint: optimality, uniqueness and significance. Zbl 1229.90007 Bensoussan, Alain; Moussawi-Haidar, Lama; Çakanyıldırım, Metin 5 2010 On a class of partial differential equations with nonlocal Dirichlet boundary conditions. Zbl 1195.35107 Bensoussan, Alain; Turi, Janos 5 2010 Singular control and impulse control: a common approach. Zbl 1181.49033 Bensoussan, Alain; Liu, John; Yuan, Jiguang 4 2010 A game-theoretical approach for finding optimal strategies in a botnet defense model. Zbl 1298.91058 Bensoussan, Alain; Kantarcioglu, Murat; Hoe, SingRu (Celine) 4 2010 An incomplete information inventory model with presence of inventories or backorders as only observations. Zbl 1217.90008 Bensoussan, A.; Çakanyıldırım, M.; Minjárez-Sosa, J. A.; Sethi, S. P.; Shi, R. 3 2010 Optimal control of variational inequalities. Zbl 1214.49008 Bensoussan, Alain; Chandrasekaran, Keerthi; Turi, Janos 1 2010 When do firms invest in privacy-preserving technologies? Zbl 1298.91064 Kantarcioglu, Murat; Bensoussan, Alain; Hoe, SingRu (Celine) 1 2010 Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375 Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P. 25 2009 Optimality of an \((s,S)\) policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215 Benkherouf, Lakdere; Bensoussan, Alain 19 2009 Optimal cash management under uncertainty. Zbl 1182.91189 Bensoussan, Alain; Chutani, Anshuman; Sethi, Suresh P. 10 2009 An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060 Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos 8 2009 On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians. Zbl 1152.35361 Bensoussan, Alain; Frehse, Jens 8 2009 Handbook of numerical analysis. Vol XV. Special Volume: Mathematical modeling and numerical methods in finance. Zbl 1162.65002 8 2009 A note on “The censored newsvendor and the optimal acquisition of information”. Zbl 1233.90010 Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P. 4 2009 Bayesian and adaptive controls for a newsvendor facing exponential demand. Zbl 1513.90002 Bensoussan, Alain; Çakanyıldırım, Metin; Royal, Andrew; Sethi, Suresh P. 3 2009 Censored newsvendor model revisited with unnormalized probabilities. Zbl 1185.93123 Bensoussan, Alain; Çakanyildirim, Metin; Sethi, Suresh P. 3 2009 Diagonal elliptic Bellman systems for stochastic differential games with discount control and noncompact coupling. Zbl 1196.35082 Bensoussan, Alain; Frehse, Jens 3 2009 Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029 Bensoussan, Alain; Turi, Janos 13 2008 Systems of Bellman equations to stochastic differential games with discount control. Zbl 1190.49045 Bensoussan, Alain; Frehse, Jens 5 2008 Partially observed inventory systems: the case of rain checks. Zbl 1170.90003 Bensoussan, Alain; ÇAkanyildirim, Metin; Minjárez-Sosa, J. Adolfo; Sethi, Suresh P.; Shi, Ruixia 5 2008 Inventory problems with partially observed demands and lost sales. Zbl 1190.90014 Bensoussan, A.; Çakanyıldırım, M.; Minjárez-Sosa, J. A.; Royal, A.; Sethi, S. P. 3 2008 Impulse control in discrete time. Zbl 1151.49029 Bensoussan, Alain 1 2008 ...and 193 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,816 Authors 91 Bensoussan, Alain 45 Cui, Junzhi 45 Wu, Zhen 43 Suslina, Tat’yana Aleksandrovna 33 Menaldi, Jose-Luis 32 Abdulle, Assyr 31 Yam, Sheung Chi Phillip 30 Allaire, Grégoire 28 Sethi, Suresh P. 27 Gozzi, Fausto 27 Lions, Pierre-Louis 27 Pastukhova, Svetlana Evgenievna 25 Cao, Liqun 25 Frehse, Jens 25 Laurière, Mathieu 24 Raymond, Jean-Pierre 24 Tachim Medjo, Theodore 23 Huang, Jianhui 23 Noor, Muhammad Aslam 23 Xiong, Jie 22 Le Bris, Claude 22 Murat, François 22 Pham, Huyên 22 Sango, Mamadou 21 Donato, Patrizia 21 Piatnitski, Andrey L. 21 Rodríguez-Ramos, Reinaldo 21 Shi, Jingtao 21 Temam, Roger Meyer 21 Yong, Jiongmin 20 Deugoue, Gabriel 20 Legoll, Frédéric 20 Meng, Qingxin 19 Kunisch, Karl 18 Bayraktar, Erhan 18 Tang, Shanjian 18 Wang, Guangchen 17 Boccardo, Lucio 17 Carmona, René A. 17 Dong, Hao 17 Hu, Ying 17 Kolpakov, Alexander G. 17 Razafimandimby, Paul André 17 Wang, Bingchang 17 Yang, Zhiqiang 16 Andrianov, Igor Vasil’evich 16 Boulaaras, Salah Mahmoud 16 Conca, Carlos 15 Bravo-Castillero, Julián 15 Briane, Marc 15 Elliott, Robert James 15 Haiour, Mohamed 15 Huang, Nan-Jing 15 Ma, Qiang 15 Morimoto, Hiroaki 15 Penta, Raimondo 15 Vanninathan, Muthusamy 15 Yang, Zihao 14 Başar, Tamer 14 Bessaih, Hakima 14 Cardaliaguet, Pierre 14 De Angelis, Tiziano 14 Fish, Jacob 14 Ghosh, Mrinal Kanti 14 Hintermüller, Michael 14 Pavliotis, Grigorios A. 14 Robin, Maurice 14 Zhang, Huanshui 13 Ferrari, Giorgio 13 Flandoli, Franco 13 Jin, Zhuo 13 Kalamkarov, Alexander L. 13 Li, Xun 13 Pardoux, Etienne 13 Rautenberg, Carlos N. 13 Spiliopoulos, Konstantinos V. 13 Stuart, Andrew M. 13 Sun, Jingrui 13 Takahashi, Takéo 13 Tucsnak, Marius 13 Wang, Song 12 Borkar, Vivek Shripad 12 Cherednichenko, Kirill D. 12 Cirant, Marco 12 Delarue, François 12 Fabbri, Giorgio 12 Federico, Salvatore 12 Guinovart-Díaz, Raúl 12 Hoang, Viet Ha 12 Huang, Minyi 12 Lasiecka, Irena 12 Li, Qin 12 Marchi, Claudio 12 Marcozzi, Michael D. 12 Moireau, Philippe 12 Øksendal, Bernt Karsten 12 Siu, Tak Kuen 12 Stettner, Łukasz 12 Teo, Kok Lay 11 Aksikas, Ilyasse ...and 6,716 more Authors all top 5 Cited in 620 Serials 196 Journal of Mathematical Analysis and Applications 181 Applied Mathematics and Optimization 157 SIAM Journal on Control and Optimization 153 Computer Methods in Applied Mechanics and Engineering 143 Journal of Differential Equations 120 Stochastic Processes and their Applications 115 Journal of Optimization Theory and Applications 111 Automatica 111 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 91 Systems & Control Letters 74 European Journal of Operational Research 72 Multiscale Modeling & Simulation 70 Stochastic Analysis and Applications 67 Journal of Computational Physics 67 Nonlinear Analysis. 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