M. Ambrosius, V. Grimm, T. Kleinert, F. Liers, M. Schmidt et al., Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning, 2018.

C. Audet, P. Hansen, B. Jaumard, and G. Savard, Links Between Linear Bilevel and Mixed 0-1 Programming Problems, In: Journal of Optimization Theory and Applications, vol.93, pp.273-300, 1997.
DOI : 10.1023/a:1022645805569

J. F. Bard, Practical bilevel optimization: algorithms and applications, vol.30, 2013.
DOI : 10.1007/978-1-4757-2836-1

J. F. Bard, Some properties of the bilevel programming problem, In: Journal of Optimization Theory and Applications, vol.68, pp.371-378, 1991.

J. F. Bard and J. T. Moore, A branch and bound algorithm for the bilevel programming problem, In: SIAM Journal on Scientific and Statistical Computing, vol.11, pp.281-292, 1990.

W. F. Bialas and M. H. Karwan, Two-level linear programming, vol.8, pp.1004-1020, 1984.
DOI : 10.1287/mnsc.30.8.1004

J. Bracken and J. T. Mcgill, Mathematical programs with optimization problems in the constraints, Operations Research, vol.21, pp.37-44, 1973.

A. Caprara, M. Carvalho, A. Lodi, and G. J. Woeginger, Bilevel Knapsack with Interdiction Constraints, In: INFORMS Journal on Computing, vol.28, pp.319-333, 2016.

C. Casorrán, B. Fortz, M. Labbé, and F. Ordóñez, A study of general and security Stackelberg game formulations, 2018.

O. Daxhelet and Y. Smeers, The EU regulation on cross-border trade of electricity: A two-stage equilibrium model, European Journal of Operational Research, vol.181, pp.1396-1412, 2007.

S. Dempe, Bilevel Optimization: Theory, Algorithms, and Applications, 2018.

S. Dempe, Foundations of bilevel programming, 2002.

S. Dempe, V. Kalashnikov, G. A. Pérez-valdés, and N. Kalashnykova, Bilevel Programming Problems, 2015.

S. Denegre, Interdiction and discrete bilevel linear programming, 2011.

J. Fortuny-amat and B. Mccarl, A Representation and Economic Interpretation of a Two-Level Programming Problem, The Journal of the Operational Research Society, vol.32, p.2581394, 1981.

K. Fukuda, T. M. Liebling, and F. Margot, Analysis of Backtrack Algorithms for Listing All Vertices and All Faces of a Convex Polyhedron, In: Computational Geometry, vol.8, issue.1, pp.49-55, 1997.

M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, 1979.

V. Grimm, J. Grübel, L. Schewe, M. Schmidt, and G. Zöttl, Nonconvex equilibrium models for gas market analysis: Failure of standard techniques and alternative modeling approaches, European Journal of Operational Research, vol.273, pp.1097-1108, 2019.

V. Grimm, T. Kleinert, F. Liers, M. Schmidt, and G. Zöttl, Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches, Optimization Methods and Software, vol.34, pp.406-436, 2019.

V. Grimm, A. Martin, M. Schmidt, M. Weibelzahl, and G. Zöttl, Transmission and Generation Investment in Electricity Markets: The Effects of Market Splitting and Network Fee Regimes, European Journal of Operational Research, vol.254, pp.493-509, 2016.

V. Grimm, L. Schewe, M. Schmidt, and G. Zöttl, A Multilevel Model of the European Entry-Exit Gas Market, In: Mathematical Methods of Operations Research, 2018.

P. Hansen, B. Jaumard, and G. Savard, New branch-and-bound rules for linear bilevel programming, In: SIAM Journal on Scientific and Statistical Computing, vol.13, pp.1194-1217, 1992.
DOI : 10.1137/0913069

X. Hu and D. Ralph, Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices, Operations Research, vol.55, pp.809-827, 2007.
DOI : 10.1287/opre.1070.0431
URL : https://www.repository.cam.ac.uk/bitstream/1810/131661/1/eprg0602.pdf

R. M. Karp, On the Computational Complexity of Combinatorial Problems, In: Networks 5, vol.1, pp.45-68, 1975.

T. Kleinert and M. Schmidt, Global Optimization of Multilevel Electricity Market Models Including Network Design and Graph Partitioning, Discrete Optimization, 2019.
DOI : 10.1016/j.disopt.2019.02.002

M. Labbé, P. Marcotte, and G. Savard, A bilevel model of taxation and its application to optimal highway pricing, pp.1608-1622, 1998.

M. Labbé and A. Violin, Bilevel programming and price setting problems, 2013.

J. Nocedal and S. J. Wright, Numerical Optimization, Springer Series in Operations Research and Financial Engineering, 2006.

P. Paruchuri, J. P. Pearce, J. Marecki, M. Tambe, F. Ordonez et al., Playing games for security: An efficient exact algorithm for solving Bayesian Stackelberg games, Proceedings of the 7th international joint conference on Autonomous agents and multiagent systems, vol.2, pp.895-902, 2008.

S. Pineda and J. M. Morales, Solving Linear Bilevel Problems Using Big-Ms: Not All That Glitters Is Gold, IEEE Transactions on Power Systems, 2019.
DOI : 10.1109/tpwrs.2019.2892607
URL : http://arxiv.org/pdf/1809.10448

P. Rusmevichientong, B. Van-roy, and P. W. Glynn, A nonparametric approach to multiproduct pricing, Operations Research, vol.54, issue.1, pp.82-98, 2006.

L. Vicente, G. Savard, and J. Júdice, Descent approaches for quadratic bilevel programming, In: Journal of Optimization Theory and Applications, vol.81, pp.379-399, 1994.
DOI : 10.1007/bf02191670

U. Wen and S. Hsu, Linear Bi-Level Programming Problems -A Review, In: The Journal of the Operational Research Society, vol.42, pp.125-133, 1991.
DOI : 10.2307/2583177

. Friedrich-alexander, Energie Campus Nürnberg, Fürther Str. 250, 90429 Nürnberg, vol.2, p.59650

. Villeneuve-d'ascq, France Email address: {martine.labbe,frank.plein}@ulb, vol.15, p.54296

. Trier, Germany Email address: martin.schmidt@uni-trier