H. Abou-kandil and P. Bertrand, Analytical solution for an open-loop Stackelberg game, IEEE Transactions on Automatic Control, vol.30, issue.12, pp.30-1222, 1985.
DOI : 10.1109/TAC.1985.1103886

A. Aboussoror and P. Loridan, Strong?weak Stackelberg problems in finite dimensional spaces Existence of solutions of two-level optimization problems with nonunique lower-level solutions, Serdica Mathematical Journal Journal of Mathematical Analysis and Applications, vol.21, pp.151-170, 1995.

A. Agrachev and J. Gauthier, On the subanalyticity of Carnot???Caratheodory distances, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.18, issue.3, pp.359-382, 2001.
DOI : 10.1016/S0294-1449(00)00064-0

A. Agrachev and Y. Sachkov, Control Theory from the Geometric Viewpoint, of Encyclopaedia of Mathematical Sciences, 2004.
DOI : 10.1007/978-3-662-06404-7

A. Agrachev and A. V. Sarychev, Abnormal sub-Riemannian geodesics: Morse index and rigidity, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.13, issue.6, pp.635-690, 1996.
DOI : 10.1016/S0294-1449(16)30118-4
URL : http://doi.org/10.1016/s0294-1449(16)30118-4

R. Axelrod, The evolution of cooperation, Science, vol.211, issue.4489, 1984.
DOI : 10.1126/science.7466396

A. Bagchi, Stackelberg Differential Games in Economic Models, Lecture Notes in Control and Information Sciences, vol.64, 1984.
DOI : 10.1007/BFb0009151

T. Bas¸arbas¸ar and A. Haurie, Feedback equilibria in differential games with structural and modal uncertainties, ch. Advances in Large Scale Systems, 1984.

T. Bas¸arbas¸ar and G. J. Olsder, Team-optimal closed-loop Stackelberg strategies in hierarchical control problems, Dynamic Noncooperative Game Theory, SIAM, pp.16-409, 1980.

T. Bas¸arbas¸ar and H. Selbuz, Closed-loop Stackelberg strategies with applications in the optimal control of multilevel systems, IEEE Transactions on Automatic Control, pp.24-166, 1979.

T. Bas¸arbas¸ar and R. Srikant, A Stackelberg Network Game with a Large Number of Followers, Journal of Optimization Theory and Applications, vol.23, issue.3, pp.479-490, 2002.
DOI : 10.1023/A:1021294828483

B. Bonnard and M. Chyba, The role of singular trajectories in control theory, Math. & Appl, vol.40, 2003.

M. Breton, A. Alj, and A. Haurie, Sequential Stackelberg equilibria in two-person games, Journal of Optimization Theory and Applications, vol.34, issue.1, pp.71-97, 1988.
DOI : 10.1007/BF00939867

L. Cesari, Optimization ? Theory and applications. Problems with ordinary differential equations, Applications of Mathematics, 1983.

B. Chen and P. Zadrozny, An anticipative feedback solution for the infinite-horizon, linear-quadratic, dynamic, Stackelberg game, Journal of Economic Dynamics and Control, vol.26, issue.9-10, pp.1397-1416, 2002.
DOI : 10.1016/S0165-1889(01)00077-X

C. I. Chen and J. B. Cruz, Stackelberg solution for two-person games with biased information patterns, IEEE Transactions on Automatic Control, pp.17-791, 1972.

Y. Chitour, F. Jean, and E. Trélat, Propiétés génériques des trajectoiressingulì eres Genericity results for singular curves Singular trajectories of control-affine systems, C. R. Math. Acad. Sci. Paris J. Differential Geom. SIAM J. Control Optim, vol.3372223, issue.73, pp.49-52, 2003.

J. B. Cruz, Survey of Nash and Stackelberg equilibrium strategies in dynamic games, Annals of Economic and Social Measurement, vol.4, pp.339-344, 1975.

. Dempe, Essays and Surveys in Global Optimization, pp.165-193, 2005.

S. Dempe and N. Gadhi, Second order optimality conditions for bilevel set optimization problems, Journal of Global Optimization, vol.4, issue.2, pp.233-245, 2010.
DOI : 10.1007/s10898-009-9468-1

E. Dockner, S. Jørgensen, N. V. Long, and G. Sorger, Differential games in economics and management science, 2000.
DOI : 10.1017/CBO9780511805127

G. Freiling, G. Jank, and S. R. Lee, Existence and Uniqueness of Open-Loop Stackelberg Equilibria in Linear-Quadratic Differential Games, Journal of Optimization Theory and Applications, vol.2, issue.3, pp.515-544, 2001.
DOI : 10.1023/A:1017532210579

J. W. Friedman, A non-cooperative Equilibrium for Supergames, The Review of Economics Studies, pp.1-12, 1971.

X. He, A. Prasad, S. P. Sethi, and G. J. Gutierrez, A survey of Stackelberg differential game models in supply and marketing channels, Journal of Systems Science and Systems Engineering, vol.5, issue.1, pp.385-413, 2007.
DOI : 10.1007/s11518-007-5058-2

M. Jungers, Matrix block formulation of closed-loop memoryless Stackelberg strategy for discrete-time games, 2008 47th IEEE Conference on Decision and Control, 2008.
DOI : 10.1109/CDC.2008.4739387
URL : https://hal.archives-ouvertes.fr/hal-00307574

M. Jungers and C. , Oar? a, Anti-palindromic pencil formulation for open-loop Stackelberg strategy in discrete-time, 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS), pp.2265-2268, 2010.

S. Lasaulce, Y. Hayel, R. E. Azouzi, and M. Debbah, Introducing hierarchy in energy games, IEEE Transactions on Wireless Communications, vol.8, issue.7, pp.3833-3843, 2009.
DOI : 10.1109/TWC.2009.081443
URL : https://hal.archives-ouvertes.fr/hal-00446281

E. Lee and L. Markus, Foundations of Optimal Control Theory, 1967.

G. Leitmann, On generalized Stackelberg strategies, Journal of Optimization Theory and Applications, vol.26, issue.4, 1978.
DOI : 10.1007/BF00933155

D. Limebeer, B. Anderson, and H. Hendel, A Nash game approach to mixed H/sub 2//H/sub ???/ control, IEEE Transactions on Automatic Control, vol.39, issue.1, pp.69-82, 1994.
DOI : 10.1109/9.273340

P. Loridan and J. Morgan, A theoretical approximation scheme for Stackelberg problems Weak via strong Stackelberg problem: New results, Journal of Optimization Theory and Applications Journal of Global Optimization, vol.38, issue.8, pp.61-95, 1989.

L. Mallozzi and J. Morgan, Existence of a feedback equilibrium for two-stage Stackelberg games, IEEE Transactions on Automatic Control, vol.42, issue.11, pp.1612-1614, 1997.
DOI : 10.1109/9.649736

J. Medanic, Closed-loop Stackelberg strategies in linear-quadratic problems, IEEE Transactions on Automatic Control, vol.23, issue.4, pp.632-637, 1978.
DOI : 10.1109/TAC.1978.1101788

P. Nie, Dynamic Stackelberg games under open-loop complete information, Journal of the Franklin Institute, vol.342, issue.7, pp.737-748, 2005.
DOI : 10.1016/j.jfranklin.2005.04.005

P. Nie, L. Chen, and M. Fukushima, Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers, European Journal of Operational Research, vol.169, issue.1, pp.310-328, 2006.
DOI : 10.1016/j.ejor.2004.06.011

P. Nie, M. Lai, and S. Zhu, Dynamic feedback Stackelberg games with non-unique solutions, Nonlinear Analysis: Theory, Methods & Applications, vol.69, issue.7, pp.69-1904, 2008.
DOI : 10.1016/j.na.2007.07.032

A. Novak, G. Feichtinger, and G. Leitmann, A Differential Game Related to Terrorism: Nash??and??Stackelberg Strategies, Journal of Optimization Theory and Applications, vol.8, issue.3, pp.533-555, 2010.
DOI : 10.1007/s10957-009-9643-z

G. P. Papavassilopoulos and J. B. Cruz, Nonclassical control problems and Stackelberg games, IEEE Transactions on Automatic Control, vol.24, issue.2, pp.155-166, 1979.
DOI : 10.1109/TAC.1979.1101986
URL : http://dspace.lib.ntua.gr/handle/123456789/21868

M. Simaan and J. B. Cruz, Additional aspects of the Stackelberg strategy in nonzero-sum games, Journal of Optimization Theory and Applications, vol.11, issue.6, pp.613-626, 1973.
DOI : 10.1007/BF00935561

A. W. Starr and Y. C. Ho, Further properties of nonzero-sum differential games, Nonzero-sum differential games, pp.207-219, 1969.
DOI : 10.1007/BF00926523

B. Tolwinski, Closed-loop Stackelberg solution to a multistage linear-quadratic game A Stackelberg solution of dynamic games, Journal of Optimization Theory and Applications IEEE Transactions on Automatic Control, vol.3451, pp.485-501, 1981.

E. Trélat, Asymptotics of accessibility sets along an abnormal trajectory, ESAIM Control Optim, Contrôle optimal: théorie et applications, pp.387-414, 2001.

L. N. Vicente and P. H. Calamai, Bilevel and multilevel programming: A bibliography review, Journal of Global Optimization, vol.3, issue.3, pp.291-306, 1994.
DOI : 10.1007/BF01096458

X. Yashan, Stackelberg equilibirums of open-loop differential games, Proceedings of the 26th Chinese Control Conference, pp.446-450, 2007.

J. J. Ye, Optimal Strategies For Bilevel Dynamic Problems, SIAM Journal on Control and Optimization, vol.35, issue.2, pp.512-531, 1997.
DOI : 10.1137/S0363012993256150