Laboratoire Manceau
de Mathématiques
Equipe d'Accueil N° 3263
Membre de la Fédération de mathématiques des Pays de Loire
Faculté des Sciences et Techniques - Université du Maine
HAMADENE Saïd
Membres BEN HARIZ Samir BROUSTE Alexandre DENIS Laurent DUTANG Christophe FARINETTO Christian HAMADENE Saïd KLEPTSYNA Marina KUTOYANTS Yury MATOUSSI Anis MAUGEAIS Sylvain MORLAIS Marie-Amélie POPIER Alexandre VOTSI Irène

Professor
Tél : (33) 2 43 83 32 29
Fax : +(33) 2 43 83 35 79
Courriel : hamadene@univ-lemans.fr

Main Research Topics

- Optimal stochastic control, zero-sum and nonzero-sum stochastic differential games.
- Backward and Backward-Forward stochastic differential equations.
- Financial mathematics.
- Viscosity solutions of partial differential equations.

Publications

1) S. Hamadène, J.-P. Lepeltier, Points d’équilibre dans les jeux stochastiques de somme non nulle, CRAS, tome 318, série 1, fev.94, pp.251-256.

2) S. Hamadène, J.-P. Lepeltier, Zero-sum stochastic differential games and backward equations, Systems and Control Letters 24 (1995), pp.259-263.

3) S. Hamadène, J.-P. Lepeltier, Backward equations, stochastic control and zero-sum stochastic differential games, Stochastics and stochastic Reports, vol.54 (1995), pp.221-231.

4) S. Hamadène, EDSR : Le cas localement Lipschitzien, Annales de l’IHP, Probabilités et Statistiques (1996), vol. 32, n.5, pp.645-659.

5) S. Hamadène, Non zero-sum LQ stochastic differential games and backward-forward equations, Stochastic Analysis and Applications (1999), vol. 17, n.1, pp.117-130.

6) S. Hamadène, J.-P. Lepeltier, S. Peng, BSDE with continuous coefficients and applications to Markovian non zero sum stochastic differential games, Pitman Res. Notes in Math. Series 364 (1997) pp.161-175, Longman (Eds : N.E-K. & L.M.).

7) S. Hamadène, J.-P. Lepeltier, A. Matoussi, Double barriers reflected backward SDEs with continuous coefficients, Pitman Research Notes in Mathematics Series 364 (1997), pp.115-128, Longman (Eds : N.E-K. & L.M.).

8) S. Hamadène, Backward-forward SDE’s and stochastic differential games, Stochastic Processes and their Applications 77 (1998), pp.1-15.

9) A. Dermoune, S. Hamadène, Y. Ouknine, BSDE’s with local time, Stochastics and Stochastic Reports, vol. 66 (1999), pp.103-119.

10) A. Dermoune, S. Hamadène, Y. Ouknine, Limit theorem for the statistical solution of Burgers equation, Stochastic Processes and their Applications 81 (1999), pp. 217-230.

11) S. Hamadène, J.-P. Lepeltier, Zhen Wu, Infinite Horizon Reflected BSDE’s and Applications in Mixed Control and Game Problems, Probability and Mathematical Statistics International Journal vol.19, Fasc. 2 (1999), pp.211-234, Wroclaw, Poland.

12) S. Hamadène, J.-P. Lepeltier, Reflected BSDE’s and mixed game problem, Stochastic Processes and their Applications 85 (2000), pp. 177-188.

13) S.Hamadène, Reflected BSDEs with Discontinuous Barrier and Application, Stochastics and Stochastic Reports, vol.74 (3-4) (2002), pp.571-596.

14) S. Hamadène, Y.Ouknine, Backward Stochastic Differential Equations with Jumps and Random Obstacle, Electronical Journal of Probability, vol.8 (2003), paper no. 2, pp. 1-20, http://www.math.washington.edu/~ejpecp/.

15) S. Hamadène, Multi-dimensional BSDEs with Uniformly Continuous Coefficients, Bernoulli 9 (3), 2003, pp.517-534.

16) N. El-Karoui, S.Hamadène, BSDEs and Risk-Sensitive Control, Zero-sum and Non zero-sum Game Problems of Stochastic Functional Differential Equations, Stochastic Processes and their Applications 107 (2003), pp. 145-169.

17) K.Bahlali, S.Hamadène, B.Mezerdi, BSDEs with two Reflecting Barriers and Quadratic Growth Coefficient, Stochastic Processes and their Applications 115, (2005) , pp.1107-1129.

18) S.Hamadène, M.Hassani, BSDEs with two reflecting barriers : the general result, Probability Theory and Related Fields 132, (2005), pp.237-264.

19) S.Hamadène, I.Hdhiri, BSDEs with two reflecting barriers and quadratic growth coefficient without Mokobodski’s condition. Applications, Journal of Applied Mathematics and Stochastic Analysis, Vol. 2006, Article ID 95818, 28 pages doi:10.1155/JAMSA/2006/95818.

20) S.Hamadène, Mixed zero-sum differential game and American game options, SIAM JCO, Vol. 45 (2), pp.496-518 (2006).

21) S.Hamadène, M.Hassani, BSDEs with two reflecting barriers driven by a Brownian motion and an independent Poisson noise and related Dynkin game, Electronic Journal of Probability, vol. 11 (2006), paper no. 5, pp. 121-145 http://www.math.washington.edu/~ejpecp/.

22) F.Antonelli, S.Hamadène, Existence of the Solutions of Backward-Forward SDE’s with Continuous Monotone Coefficients, Statistics and Probability Letters, (2006).

23) S.Hamadène, M.Jeanblanc, On the stopping and starting problem : application to reversible investment, Mathematics of Operations Research, 32, pp.182-192, (2007).

24) N.El-Karoui, S.Hamadène, A.Matoussi, Backward SDEs and Applications, in Indifference Pricing : Theory and Applications, edited by R.Carmona, Princeton Series in Financial Engineering, pp.267-320, (2009).

25) S.Hamadène, E.-P.Rotenstein, A.Zalinescu, A Generalized Mixed Zero-sum Stochastic Differential Game and Double Barrier Reflected BSDEs with Quadratic Growth Coefficient, Analelle Stiintifice ale Universitatii Alexandru Ioan Cuza din Iasi, Seria nova Mathematica (ISI), Tomul LV, f.2, pp.419-444, (2009).

26) R.Belfadli , S.Hamadène, Y.Ouknine : On one-dimensional Stochastic Differential Equations involving the maximum process, Stochastics and Dynamics, Vol. 9, no.2, pp. 277-292 (2009).

27) B.Djehiche, S.Hamadène, On a Finite Horizon Starting and Stopping Problem with Risk of Abandonment, International J. of Theoretical & Applied Finance (IJTAF) Vo. 12, No. 4, pp.523-543, (2009).

28) B.Djehiche, S.Hamadène, I.Hdhiri, Stochastic Impulse Control of Non-Markovian Processes, Applied mathematics and optimization, 2010, vol. 61, No 1, pp.1-26.

29) B.El-Asri, S.Hamadène, The Finite Horizon Optimal Multi-Modes Switching Problem : the Viscosity Solution Approach, Applied mathematics and optimization, 2009, 60, pp. 213 - 235.

30) S.Hamadène, H.Wang, BSDEs with two RCLL Reflecting Obstacles driven by a Brownian Motion and Poisson Measure and related Mixed Zero-Sum Games, Stochastic Processes and their Applications, 119 (2009), pp.2881-2912.

31) B.Djehiche, S.Hamadène, A.Popier, The Finite Horizon Optimal Multiple Switching Problem, SIAM J. Control Optim. Volume 48, Issue 4, pp. 2751-2770 (2009).

32) S.Hamadène, H.Wang, The mixed zero-sum stochastic differential game in the model with jumps. Advances in Dynamic Games, Annals of the International Society of Dynamic Games, M.Breton and K.Szajowski eds., Birkhauser, pp.83-110 (2010).

33) S.Hamadène, M.Hassani, Y.Ouknine, BSDEs with general discontinuous reflecting barriers without Mokobodski’s condition. Bulletins des Sciences Mathématiques, 134 (2010), pp.874-899 ; DOI : 10.1016/j.bulsci.2010.03.001.

34) S.Hamadène, J.Zhang, The Continuous Time Nonzero-sum Dynkin Game Problem and Application in Game Options, SIAM J. Control Optim. Volume 48, Issue 5, pp. 3659-3669 (2009).

35) S.Hamadène, J.Zhang, A Switching Problem and Related System of Reflected Backward SDEs, Stochastic Processes and their applications, 120 (2010), pp.403-426 (2010).

36) B.Djehiche, S.Hamadène, M.-A. Morlais, Optimal stopping of expected profit and cost yields in an investment under uncertainty. Stochastics 83 (2011), no. 4-6, pp. 431–448.

37) S.Hamadène, A.Popier, L^p-solutions for Reflected Backward Stochastic Differential Equations, Stochastics and Dynamics 12 (2012), no. 2, 1150016, 35 pp.

38) B.ElAsri, S.Hamadène, H.Wang, L^p-solutions for Doubly Reflected Backward Stochastic Differential Equations, Stochastic Analysis and Applications 29, no. 6, pp. 907-932 (2011).

39) S.Hamadène, Optimal switching, systems of reflected BSDEs and systems of variational inequalities with inter-connected obstacles. In Surveys in Stochastic Processes, pp. 3-27, J.Blath, P.Imkeller and S.Roelly Editors, European Mathematical Society (Zurich, Switzerland) (2011).

40) S.Hamadène, M.A.Morlais, Viscosity Solutions of Systems of PDEs with Inter-Connected Obstacles and Switching Problem. Applied Mathematics & Optimization 67 (2013), no. 2, 163–196.

41) S.Hamadène, Y.Ouknine, Reflected Backward SDEs with General Jumps. Teor. Veroyatnost. i Primenen. 2015, Volume 60, Issue 2, Pages 357–376.

42) S.Hamadène, M.Hassani, The Multi-player Nonzero-sum Dynkin Game in Discrete Time. Math. Methods Oper. Res. 79 (2014), no. 2, 179–194.

43) B.Djehiche, S.Hamadène, M.A.Morlais, Viscosity Solutions of Systems of Variational Inequalities with Interconnected Bilateral Obstacles. Funkcialaj Ekvacioj, 58 (2015), pp.135-175.

44) S.Hamadène, M.Hassani, The Multi-player Nonzero-sum Dynkin Game in Continuous Time. SIAM J. Control Optim. 52 (2014), no. 2, 821–835.

45) S.Hamadène, R.Mu, Existence of Nash Equilibrium Points for Markovian Nonzero-sum Stochastic Differential Games with Unbounded Coefficients. Stochastics 87 (2015), no. 1, 85–111.

46) S.Hamadène, R.Mu, Bang-Bang Type Nash Equilibrium Point for Markovian Nonzero-sum Stochastic Differential Game. C. R. Math. Acad. Sci. Paris 352 (2014), no. 9, 699–706.

47) S.Hamadène, Z.Xuzhe, Systems of Integro-PDEs with Interconnected Obstacles and Multi-Modes Switching Problem Driven by Lévy Process. Nonlinear Differ. Equ. Appl. (NoDEA), 22 (2015), 1607–1660. DOI 10.1007/s00030-015-0338-x2015 (2015).

48) S.Hamadène, M.A. Morlais, Existence and uniqueness of viscosity solutions for second order integro-differential equations without monotonicity conditions. Stochastics 88 (2016), no. 4, 632–649.

49) S.Hamadene, Viscosity solutions of second order integral-partial differential equations without monotonicity condition : A new result. Nonlinear Analysis : Theory, Methods & Applications. Volume 147, December 2016, Pages 213-235.

50) B.Djehiche, S.Hamadène, M.-A.Morlais, X.Zhao, On the Equality of Solutions of Max-Min and Min-Max Systems of Variational Inequalities with Interconnected Bilateral Obstacles. J. Math. Anal. Appl. 452 (2017), no. 1, 148–175.
http://dx.doi.org/10.1016/j.jmaa.2017.02.025.

Prépublications

1) S.Hamadène, M.Hassani, M.A. Morlais, Epsilon-Nash Equilibria in Multi-player Nonzero-sum Dynkin Game in Discrete Time (Nov. 2013, Univ. of Maine, Le Mans, France).

2) S.Hamadène, R.Mu, On the Bang-Bang Type Nonzero-sum Stochastic Differential Game (September 2014, Univ. of Maine, Le Mans, France). Available at arXiv:1412.1214.

3) S.Hamadène, R.Mu, Risk-sensitive Nonzero-sum Stochastic Differential Game with Unbounded Coefficients (September 2014, Univ. of Maine, Le Mans, France). Available at arXiv:1412.1213.

4) S.Hamadène, X.Zhao, Viscosity solution of system of variational inequalities with interconnected bilateral obstacles and connections to multiple modes switching game of jump-diffusion processes (September 2014, Univ. of Maine, Le Mans, France). Available at arXiv:1507.05013.

5) B.Djehiche, S.Hamadene, Optimal control and zero-sum games of mean-field type (March 2016, Univ. of Maine, Le Mans, France). Available at arXiv:1603.06071.

Laboratoire Manceau de Mathématiques
Université du Maine - Faculté des Sciences et Techniques
Avenue Olivier Messiaen - 72085 Le Mans Cedex 9 (France)
Tel : +(33) 2 43 83 32 19
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