메뉴 건너뛰기




Volumn 12, Issue 3, 2018, Pages 335-363

Mean field game of controls and an application to trade crowding

Author keywords

Crowding; Market microstructure; Mean field games; Optimal liquidation; Optimal stochastic control; Optimal trading

Indexed keywords


EID: 85037362750     PISSN: 18629679     EISSN: 18629660     Source Type: Journal    
DOI: 10.1007/s11579-017-0206-z     Document Type: Article
Times cited : (227)

References (37)
  • 1
    • 84953839323 scopus 로고    scopus 로고
    • Dynamic optimal execution in a mixed-market-impact Hawkes price model
    • Alfonsi, A., Blanc, P.: Dynamic optimal execution in a mixed-market-impact Hawkes price model. Finance Stoch. 20(1), 183–218 (2016)
    • (2016) Finance Stoch. , vol.20 , Issue.1 , pp. 183-218
    • Alfonsi, A.1    Blanc, P.2
  • 2
    • 0344354031 scopus 로고    scopus 로고
    • Optimal execution of portfolio transactions
    • Almgren, R.F., Chriss, N.: Optimal execution of portfolio transactions. J. Risk 3(2), 5–39 (2000)
    • (2000) J. Risk , vol.3 , Issue.2 , pp. 5-39
    • Almgren, R.F.1    Chriss, N.2
  • 3
    • 75849126749 scopus 로고    scopus 로고
    • Direct estimation of equity market impact
    • Almgren, R., Thum, C., Hauptmann, E., Li, H.: Direct estimation of equity market impact. Risk 18, 57–62 (2005)
    • (2005) Risk , vol.18 , pp. 57-62
    • Almgren, R.1    Thum, C.2    Hauptmann, E.3    Li, H.4
  • 5
    • 33745994278 scopus 로고    scopus 로고
    • A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time
    • Barles, G.: A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. C. R. Math. 343(3), 173–178 (2006)
    • (2006) C. R. Math. , vol.343 , Issue.3 , pp. 173-178
    • Barles, G.1
  • 8
    • 55349096700 scopus 로고    scopus 로고
    • The Robust Control Approach to Option Pricing and Interval Models: An Overview
    • In:, Breton, M., Ben-Ameur, H. eds) Springer, Boston, MA
    • Bernhard, P.: The Robust Control Approach to Option Pricing and Interval Models: An Overview. In: Breton M., Ben-Ameur H. (eds) Numerical Methods in Finance. Springer, Boston, MA (2005)
    • (2005) Numerical Methods in Finance
    • Bernhard, P.1
  • 9
    • 84871040760 scopus 로고    scopus 로고
    • Optimal control of trading algorithms: a general impulse control approach
    • Bouchard, B., Dang, N.-M., Lehalle, C.-A.: Optimal control of trading algorithms: a general impulse control approach. SIAM J. Financ. Math. 2(1), 404–438 (2011)
    • (2011) SIAM J. Financ. Math. , vol.2 , Issue.1 , pp. 404-438
    • Bouchard, B.1    Dang, N.-M.2    Lehalle, C.-A.3
  • 11
    • 85047408366 scopus 로고    scopus 로고
    • Mean field games
    • In:, Baillieul, J., Samad, T. eds)
    • Caines, P.E.: Mean field games. In: Baillieul J., Samad T. (eds) Encyclopedia of Systems and Control, pp. 706–712 (2015)
    • (2015) Encyclopedia of Systems and Control , pp. 706-712
    • Caines, P.E.1
  • 13
    • 85047429027 scopus 로고    scopus 로고
    • Carmona, R., Delarue, F.: Probabilistic Theory of Mean Field Gam, es with Applications. Springer, Berlin
    • Carmona, R., Delarue, F.: Probabilistic Theory of Mean Field Games with Applications. Springer, Berlin (2018)
    • (2018)
  • 15
    • 84925426147 scopus 로고    scopus 로고
    • A probabilistic weak formulation of mean field games and applications
    • Carmona, R., Lacker, D.: A probabilistic weak formulation of mean field games and applications. Ann. Appl. Probab. 25(3), 1189–1231 (2015)
    • (2015) Ann. Appl. Probab. , vol.25 , Issue.3 , pp. 1189-1231
    • Carmona, R.1    Lacker, D.2
  • 16
  • 20
    • 84899464039 scopus 로고    scopus 로고
    • Mean field games models? A brief survey
    • Gomes, D.A.: Mean field games models? A brief survey. Dyn. Games Appl. 4(2), 110–154 (2014)
    • (2014) Dyn. Games Appl. , vol.4 , Issue.2 , pp. 110-154
    • Gomes, D.A.1
  • 21
    • 84892860445 scopus 로고    scopus 로고
    • On the existence of classical solutions for stationary extended mean field games
    • Gomes, D.A., Patrizi, S., Voskanyan, V.: On the existence of classical solutions for stationary extended mean field games. Nonlinear Anal. Theory Methods Appl. 99, 49–79 (2014)
    • (2014) Nonlinear Anal. Theory Methods Appl. , vol.99 , pp. 49-79
    • Gomes, D.A.1    Patrizi, S.2    Voskanyan, V.3
  • 22
    • 84964876681 scopus 로고    scopus 로고
    • Extended deterministic mean-field games
    • Gomes, D.A., Voskanyan, V.K.: Extended deterministic mean-field games. SIAM J. Control Optim. 54(2), 1030–1055 (2016)
    • (2016) SIAM J. Control Optim. , vol.54 , Issue.2 , pp. 1030-1055
    • Gomes, D.A.1    Voskanyan, V.K.2
  • 25
    • 84930381214 scopus 로고    scopus 로고
    • General intensity shapes in optimal liquidation
    • Guéant, O., Lehalle, C.-A.: General intensity shapes in optimal liquidation. Math. Finance 25(3), 457–495 (2015)
    • (2015) Math. Finance , vol.25 , Issue.3 , pp. 457-495
    • Guéant, O.1    Lehalle, C.-A.2
  • 26
    • 84871320328 scopus 로고    scopus 로고
    • Optimal High Frequency Trading with limit and market orders
    • Guilbaud, F., Pham, H.: Optimal High Frequency Trading with limit and market orders. Quant. Finance 13(1), 79–94 (2013)
    • (2013) Quant. Finance , vol.13 , Issue.1 , pp. 79-94
    • Guilbaud, F.1    Pham, H.2
  • 27
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle
    • Huang, M., Malhamé, R.P., Caines, P.E.: Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 6(3), 221–252 (2006)
    • (2006) Commun. Inf. Syst. , vol.6 , Issue.3 , pp. 221-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 30
    • 84878511980 scopus 로고    scopus 로고
    • Optimal posting price of limit orders: learning by trading
    • Laruelle, S., Lehalle, C.-A., Pagès, G.: Optimal posting price of limit orders: learning by trading. Math. Financ. Econ. 7(3), 359–403 (2013)
    • (2013) Math. Financ. Econ. , vol.7 , Issue.3 , pp. 359-403
    • Laruelle, S.1    Lehalle, C.-A.2    Pagès, G.3
  • 31
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. I - Le cas stationnaire
    • Lasry, J.-M., Lions, P.-L.: Jeux à champ moyen. I - Le cas stationnaire. C. R. Math. 343(9), 619–625 (2006)
    • (2006) C. R. Math. , vol.343 , Issue.9 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 32
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. II - Horizon fini et contrôle optimal
    • Lasry, J.-M., Lions, P.-L.: Jeux à champ moyen. II - Horizon fini et contrôle optimal. C. R. Math. 343(10), 679–684 (2006)
    • (2006) C. R. Math. , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 33
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, J.-M., Lions, P.-L.: Mean field games. Jpn. J. Math. 2(1), 229–260 (2007)
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 35
    • 84869223716 scopus 로고    scopus 로고
    • Mean field LQG control in leader-follower stochastic multi-agent systems: likelihood ratio based adaptation
    • Nourian, M., Caines, P.E., Malhamé, R.P., Huang, M.: Mean field LQG control in leader-follower stochastic multi-agent systems: likelihood ratio based adaptation. IEEE Trans. Automat. Contr. 57(11), 2801–2816 (2012)
    • (2012) IEEE Trans. Automat. Contr. , vol.57 , Issue.11 , pp. 2801-2816
    • Nourian, M.1    Caines, P.E.2    Malhamé, R.P.3    Huang, M.4
  • 37
    • 85047406539 scopus 로고    scopus 로고
    • Is Market Impact a Measure of the Information Value of Trades? Market Response to Liquidity vs. Informed Trades. Social Science Research Network Working Paper Series
    • Waelbroeck, H., Gomes, C.: Is Market Impact a Measure of the Information Value of Trades? Market Response to Liquidity vs. Informed Trades. Social Science Research Network Working Paper Series, July (2013)
    • (2013) July
    • Waelbroeck, H.1    Gomes, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.