Generalized Nash Equilibrium Problems,

Bilevel programming and MPEC


CIMPA-ICPAM Research School 2013

University of Delhi


The school is devoted to three classes of problem: the generalized Nash equilibrium problems, the bilevel problems and the Mathematical Programming with Equilibrium Constraints. They interact through their mathematical analysis as well as their applications.

When dealing with noncooperative games, the classical concept of solution is the Nash equilibrium. However, in many game problems one encounters a situation where the strategy sets depend on the rival�s strategies. Such problems where termed as generalized Nash equilibrium problem (GNEP) and has applications in many fields like economics, pollution models, competitive network and wireless communication. This school will also emphasize on applications in electricity markets.

Whenever one of the agents is a leader of the market, the equilibrium problem turns out to be a bilevel problem. This is an optimization problem in whose the feasible region is the solution set of another optimization problem. Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include variational inequalities and/or complementarities.

The main aim of the school is to present the modern tools of variational analysis and optimization used to analyse these three class of difficult problems. Applications and numerical approaches will play a central role in the proposed developments.




(Indian Nationals)

Registration (Foreign Nationals)




How to Reach the Venue

Places to Visit


Download Lectures

Stephan Dempe's Lectures

Jonathan Borwein's Lectures

Didier Aussel's lectures
Lecture 1

Lecture 2

Lecture 3

Lecture 4

Rene Henrion's lecture

Francisco Facchinei's lectures
Lecture 1

Lecture 2

Lecture 3


Alejandro Jofre's lectures

Lecture 1

Lecture 2


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Venue and Dates:

University of Delhi, India

November 25 to December 6, 2013
( Registration open till 30th September 2013, All completely filled registration forms should be sent through e-mail. The e.mail address is

Department of Science and Technology,
National Board of Higher Mathematics and Indian National Science Academy

Medium of Instruction:


List of Lecturers:

Didier Aussel (University of Perpignan, France)

Jonathan Borwein (University of Newcattle, Australia)

Stephen Dempe (TU Bergakademie Freiberg, Germany)

Joydeep Dutta (IIT Kanpur, India)

Francisco Facchinei (University Sapianza, Roma, Italy)

Ren� Henrion (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany)

Alejandro Jofre (CMM, Santiago, Chile)


Didier Aussel (University of Perpignan)

C. S. Lalitha (University of Delhi),

Organising Committee:

C. S. Lalitha (University of Delhi)

Pankaj Gupta (University of Delhi)

Joydeep Dutta (IIT Kanpur)

Q. H. Ansari (Aligarh Muslim University)

S. K. Mishra (Banaras Hindu University)

Scientific Committee:

John Borwein (University of Newcastle, Australia)

Boris Mordukhovich (Wayne State University, Detroit, USA)

Masao Fukushima (Kyoto University, Japan)

Ren� Henrion (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany)

Jean-Baptiste Hiriart-Urruty (Universit� Paul Sabatier, Toulouse, France)

B.K. Dass (University of Delhi, India)

Ajay Kumar (University of Delhi, India)