Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-MESR-MINECO-INDIA research school

Objectives :

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.

Administrative and scientific coordinators :

• Didier Aussel (University of Perpignan) aussel at univ-perp.fr
• C. S. Lalitha (University of Delhi) cslalitha at maths.du.ac.in

Organizing 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)
• René Henrion (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany)
• Jean-Baptiste Hiriart-Urruty (Université Paul Sabatier, Toulouse, France)
• B.K. Dass (University of Delhi, India)
• Ajay Kumar (University of Delhi, India)

Date and location :

November 25-December 6, 2013, University of Delhi, New Delhi, India

Scientific program :

All lectures will be given in English

• Didier Aussel (University of Perpignan, France) : Generalized Nash Equilibrium Problem : existence, uniqueness and reformulations
• Jonathan Borwein (University of Newcattle, Australia) : Introduction to variational analysis
• Stephen Dempe (TU Bergakademie Freiberg, Germany) : Bilevel Programming : Existence of optimal solutions and optimality conditions
• Joydeep Dutta (IIT Kanpur, India) : Introduction to Bilevel Programming and MPEC problems
• Francisco Facchinei (Univ. Sapianza, Roma, Italy) : Numerical analysis of Generalized Nash equilibrium
• René Henrion (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany) : Dual optimality conditions for MPECs
• Alejandro Jofre (CMM, Santiago, Chile) : GNE/MPEC in Electricity Markets

Deadline for Registration :

September 22, 2013

Application procedure and Online registration only for applicants not from India.

Applicants from India must contact the local organizer : C. S. Lalitha, cslalitha at maths.du.ac.in