N. Figueroa, A. Jofré, and B. Heymann, Cost-minimizing regulations for a wholesale electricity market, 2015.

F. Juan, A. Escobar, and . Jofré, Monopolistic competition in electricity networks with resistance losses, Economic theory, vol.44, issue.1, pp.101-121, 2010.

F. Juan, A. Escobar, and . Jofré, Equilibrium analysis of electricity auctions, 2014.

B. Roger and . Myerson, Optimal auction design, Mathematics of operations research, vol.6, issue.1, pp.58-73, 1981.

B. Heymann and A. Jofré, Mechanism design and auctions for electricity network, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01315844

D. Aussel, R. Correa, and M. Marechal, Electricity spot market with transmission losses, Journal of Industrial and Management Optimization, vol.9, issue.2, pp.275-290, 2013.
DOI : 10.3934/jimo.2013.9.275

J. Edward, P. Anderson, . Holmberg, B. Andrew, and . Philpott, Mixed strategies in discriminatory divisible-good auctions, The RAND Journal of Economics, vol.44, issue.1, pp.1-32, 2013.

X. Hu and D. Ralph, Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices, Operations Research, vol.55, issue.5, pp.809-827, 2007.
DOI : 10.1287/opre.1070.0431

J. Laffont and D. Martimort, The theory of incentives: the principal-agent model, 2009.

N. Nisan, Introduction to mechanism design (for computer scientists) Algorithmic game theory, p.242, 2007.
DOI : 10.1017/cbo9780511800481.011
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.74.9908

J. Robert, S. Aumann, and . Hart, Handbook of game theory with economic applications, 1992.

M. Donald and . Topkis, Supermodularity and complementarity. Princeton university press, 1998.

R. José, N. Correa, and . Figueroa, On the planners loss due to lack of information in bayesian mechanism design, Algorithmic Game Theory, pp.72-84, 2009.

R. Gibbons, Game theory for applied economists, 1992.

K. Rangarajan and . Sundaram, A first course in optimization theory, 1996.

M. Bagnoli and T. Bergstrom, Log-concave probability and its applications, Economic Theory, vol.26, issue.2, pp.445-469, 2005.
DOI : 10.1007/s00199-004-0514-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.1877

J. Laffont and J. Tirole, The Dynamics of Incentive Contracts, Econometrica, vol.56, issue.5, pp.1153-1175, 1988.
DOI : 10.2307/1911362

M. Grant and S. Boyd, Graph Implementations for Nonsmooth Convex Programs, Recent Advances in Learning and Control, Lecture Notes in Control and Information Sciences, pp.95-110, 2008.
DOI : 10.1007/978-1-84800-155-8_7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.4027

M. Grant and S. Boyd, CVX: Matlab software for disciplined convex programming, version 2, 2014.
DOI : 10.1007/0-387-30528-9_7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.8900

A. Barabási and R. Albert, Emergence of scaling in random networks, science, vol.286, issue.5439, pp.509-512, 1999.

D. P. Bertsekas, Convex optimization algorithms, Athena Scientific, 2015.