TY - JOUR AU - Alfonsi, A. AU - Fruth, A. AU - Schied, A. PY - 2010 DA - 2010// TI - Optimal execution strategies in limit order books with general shape functions JO - Quantit. Finance VL - 10 UR - https://doi.org/10.1080/14697680802595700 DO - 10.1080/14697680802595700 ID - Alfonsi2010 ER - TY - JOUR AU - Almgren, R. AU - Chriss, N. PY - 2000 DA - 2000// TI - Optimal execution of portfolio transactions JO - J. Risk VL - 3 UR - https://doi.org/10.21314/JOR.2001.041 DO - 10.21314/JOR.2001.041 ID - Almgren2000 ER - TY - STD TI - Almgren, R, Li, TM: Market microstructure and liquidity,. 2(1) (2016). ID - ref3 ER - TY - JOUR AU - Andersson, D. AU - Djehiche, B. PY - 2010 DA - 2010// TI - A maximum principle for SDEs of mean-field type JO - Appl. Math. Optimization VL - 63 UR - https://doi.org/10.1007/s00245-010-9123-8 DO - 10.1007/s00245-010-9123-8 ID - Andersson2010 ER - TY - BOOK AU - Bain, A. AU - Crisan, D. PY - 2009 DA - 2009// TI - Fundamentals of stochastic filtering, Series Stochastic Modelling and Applied Probability PB - Springer CY - New York UR - https://doi.org/10.1007/978-0-387-76896-0 DO - 10.1007/978-0-387-76896-0 ID - Bain2009 ER - TY - STD TI - Bank, P, Soner, M, Voss, M: Hedging with transient price impact. arXiv: 1510.03223v1, to appear in Mathematics and Financial Economics (2015). http://link.springer.com/article/10.1007/s11579-016-0178-4. UR - http://link.springer.com/article/10.1007/s11579-016-0178-4 ID - ref6 ER - TY - JOUR AU - Basak, S. AU - Chabakauri, G. PY - 2010 DA - 2010// TI - Dynamic mean-variance asset allocation JO - Rev. Finan. Stud VL - 23 UR - https://doi.org/10.1093/rfs/hhq028 DO - 10.1093/rfs/hhq028 ID - Basak2010 ER - TY - STD TI - Bensoussan, A, Frehse, J, Yam, P: Mean Field Games and Mean Field Type Control Theory. Springer (2013). ID - ref8 ER - TY - JOUR AU - Bismut, J. M. PY - 1976 DA - 1976// TI - Linear quadratic optimal stochastic control with random coefficients JO - SIAM J. Control Optim VL - 14 UR - https://doi.org/10.1137/0314028 DO - 10.1137/0314028 ID - Bismut1976 ER - TY - JOUR AU - Borkar, V. AU - Kumar, K. S. PY - 2010 DA - 2010// TI - McKean-Vlasov limit in portfolio optimization JO - Stoch. Anal. Appl. VL - 28 UR - https://doi.org/10.1080/07362994.2010.482836 DO - 10.1080/07362994.2010.482836 ID - Borkar2010 ER - TY - JOUR AU - Buckdahn, R. AU - Djehiche, B. AU - Li, J. PY - 2011 DA - 2011// TI - A general maximum principle for SDEs of mean-field type JO - Appl. Math. Optim VL - 64 UR - https://doi.org/10.1007/s00245-011-9136-y DO - 10.1007/s00245-011-9136-y ID - Buckdahn2011 ER - TY - STD TI - Buckdahn, R, Li, J, Peng, S, Rainer, C: Mean-field stochastic differential equations and associated PDEs (2014). http://arxiv.org/abs/1407.1215, to appear on Annals of Probability, preprint available at http://www.imstat.org/aop/future_papers.htm. UR - http://www.imstat.org/aop/future_papers.htm ID - ref12 ER - TY - STD TI - Cai, J, Rosenbaum, M, Tankov, P: Asymptotic lower bounds for optimal tracking: a linear programming approach (2015). arXiv:1510.04295. ID - ref13 ER - TY - STD TI - Cardaliaguet, P: Notes on mean field games. Notes from P.L. Lions lectures at Collège de France (2012). https://www.ceremade.dauphine.fr/cardalia/MFG100629.pdf. UR - https://www.ceremade.dauphine.fr/cardalia/MFG100629.pdf ID - ref14 ER - TY - STD TI - Carmona, R, Delarue, F: The Master equation for large population equilibriums. In: Crisan, D, et al. (eds.)Stochastic Analysis and Applications 2014, Springer Proceedings in Mathematics and Statistics 100. Springer (2014). ID - ref15 ER - TY - JOUR AU - Carmona, R. AU - Delarue, F. PY - 2015 DA - 2015// TI - Forward-backward Stochastic Differential Equations and Controlled McKean Vlasov Dynamics JO - Ann. Probab VL - 43 UR - https://doi.org/10.1214/14-AOP946 DO - 10.1214/14-AOP946 ID - Carmona2015 ER - TY - JOUR AU - Carmona, R. AU - Zhu, X. PY - 2016 DA - 2016// TI - A probabilistic approach to mean field games with major and minor players JO - Ann. Appl. Prob VL - 26 UR - https://doi.org/10.1214/15-AAP1125 DO - 10.1214/15-AAP1125 ID - Carmona2016 ER - TY - JOUR AU - Carmona, R. AU - Delarue, F. AU - Lachapelle, A. PY - 2013 DA - 2013// TI - Control of McKean-Vlasov dynamics versus mean field games JO - Math. Financial Econ VL - 7 UR - https://doi.org/10.1007/s11579-012-0089-y DO - 10.1007/s11579-012-0089-y ID - Carmona2013 ER - TY - JOUR AU - Carmona, R. AU - Fouque, J. P. AU - Sun, L. H. PY - 2015 DA - 2015// TI - Mean field games and systemic risk. to appear in Communications in Mathematical Sciences JO - Communications in Mathematical Sciences VL - 13 UR - https://doi.org/10.4310/CMS.2015.v13.n4.a4 DO - 10.4310/CMS.2015.v13.n4.a4 ID - Carmona2015 ER - TY - STD TI - Cartea, A, Jaimungal, S: A closed-form execution strategy to target VWAP. to appear in SIAM Journal of Financial Mathematics (2015). Preprint available at https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2542314. UR - https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2542314 ID - ref20 ER - TY - STD TI - Chassagneux, JF, Crisan, D, Delarue, F: A probabilistic approach to classical solutions of the master equation for large population equilibria (2015). arXiv: 1411.3009. ID - ref21 ER - TY - STD TI - El Karoui, N: Les aspects probabilistes du contrôle stochastique. Ninth Saint Flour Probability Summer School-1979. Lecture Notes Math 876, 73–238 (1981), Springer. ID - ref22 ER - TY - JOUR AU - Frei, C. AU - Westray, N. PY - 2015 DA - 2015// TI - Optimal execution of a VWAP order: a stochastic control approach JO - Math. Finance VL - 25 UR - https://doi.org/10.1111/mafi.12048 DO - 10.1111/mafi.12048 ID - Frei2015 ER - TY - JOUR AU - Hu, Y. AU - Jin, H. AU - Zhou, X. Y. PY - 2012 DA - 2012// TI - Time-inconsistent stochastic linear-quadratic control JO - SIAM J. Control Optim VL - 50 UR - https://doi.org/10.1137/110853960 DO - 10.1137/110853960 ID - Hu2012 ER - TY - JOUR AU - Huang, J. AU - Li, X. AU - Yong, J. PY - 2015 DA - 2015// TI - A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon JO - Math. Control Related Fields VL - 5 UR - https://doi.org/10.3934/mcrf.2015.5.97 DO - 10.3934/mcrf.2015.5.97 ID - Huang2015 ER - TY - BOOK AU - Kunita, H. PY - 1982 DA - 1982// TI - Ecole d’Eté de Probabilités de Saint-Flour XII PB - Springer-Verlag CY - Berlin, New York ID - Kunita1982 ER - TY - JOUR AU - Li, D. AU - Zhou, X. Y. PY - 2000 DA - 2000// TI - Continuous-time mean-variance portfolio selection: a stochastic LQ framework JO - Appl. Math. Optim VL - 42 UR - https://doi.org/10.1007/s002450010003 DO - 10.1007/s002450010003 ID - Li2000 ER - TY - STD TI - Li, X, Sun, J, Yong, J: Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability (2016). arXiv: 1602.07825. ID - ref28 ER - TY - STD TI - Lions, PL: Cours au Collège de France: Théorie des jeux à champ moyens, audio conference 2006–2012 (2012). ID - ref29 ER - TY - JOUR AU - Peng, S. PY - 1992 DA - 1992// TI - Stochastic Hamilton Jacobi Bellman equations JO - SIAM J. Control Optim VL - 30 UR - https://doi.org/10.1137/0330018 DO - 10.1137/0330018 ID - Peng1992 ER - TY - STD TI - Pham, H, Wei, X: Bellman equation and viscosity solutions for mean-field stochastic control problem (2015). arXiv:1512.07866v2. ID - ref31 ER - TY - STD TI - Pham, H, Wei, X: Dynamic programming for optimal control of stochastic McKean-Vlasov dynamics (2016). arXiv: 1604. 04057. ID - ref32 ER - TY - JOUR AU - Predoiu, S. AU - Shaikhet, G. AU - Shreve, S. PY - 2011 DA - 2011// TI - Optimal execution in a general one-sided limit-order book JO - SIAM J. Financial Math VL - 2 UR - https://doi.org/10.1137/10078534X DO - 10.1137/10078534X ID - Predoiu2011 ER - TY - JOUR AU - Rogers, L. C. G. AU - Singh, S. PY - 2010 DA - 2010// TI - The cost of illiquidity and its effects on hedging JO - Mathematical Finance VL - 20 UR - https://doi.org/10.1111/j.1467-9965.2010.00413.x DO - 10.1111/j.1467-9965.2010.00413.x ID - Rogers2010 ER - TY - STD TI - Sun, J: Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Open-Loop Solvabilities (2015). arXiv: 1509.02100v2. ID - ref35 ER - TY - JOUR AU - Sun, J. AU - Yong, J. PY - 2014 DA - 2014// TI - Linear Quadratic Stochastic Differential Games: Open-Loop and Closed-Loop Saddle Points JO - SIAM J. Control Optim VL - 52 UR - https://doi.org/10.1137/140953642 DO - 10.1137/140953642 ID - Sun2014 ER - TY - JOUR AU - Tang, S. PY - 2003 DA - 2003// TI - General linear quadratic optimal stochastic control problems with random coefficients: linear stochastic Hamilton systems and backward stochastic Riccati equations JO - SIAM J. Control Optim VL - 42 UR - https://doi.org/10.1137/S0363012901387550 DO - 10.1137/S0363012901387550 ID - Tang2003 ER - TY - JOUR AU - Wonham, W. PY - 1968 DA - 1968// TI - On a matrix Riccati equation of stochastic control JO - SIAM J. Control VL - 6 UR - https://doi.org/10.1137/0306044 DO - 10.1137/0306044 ID - Wonham1968 ER - TY - JOUR AU - Yong, J. PY - 2013 DA - 2013// TI - A linear-quadratic optimal control problem for mean-field stochastic differential equations JO - SIAM J. Control Optim VL - 51 UR - https://doi.org/10.1137/120892477 DO - 10.1137/120892477 ID - Yong2013 ER - TY - BOOK AU - Yong, J. AU - Zhou, X. Y. PY - 1999 DA - 1999// TI - Stochastic controls. Hamiltonian systems and HJB equations PB - Springer CY - New York ID - Yong1999 ER -