1. CERMICS, Ecole Nationale Des Ponts et Chaussees, Paris, France
June 01, 2012- Oct 30, 2012
Awarded “Paris-Tech Scholarship” by Paris-Tech Foundation, France.
Collaborative research with “Prof. Frederic Meunier” and " Dr. Thomas Pradeau" in the field of Optimization problems on Smart Grids.
We study the efficiency of equilibria in atomic splittable congestion games on networks. We consider the general case where players are not affected in the same way by the congestion. We obtained a general bound on the price of anarchy for games with player-specific cost functions.
2. Laboratory PROMES (CNRS), University of Perpignan Via Domitia, France
July 17, 2011- Dec 17, 2011
Awarded“Sandwich-PhD Scholarship” by French Embassy, India.
Collaborative research with “Prof. Didier Aussel” on Inverse quasi variational inequalities.
This research was dedicated to Inverse Quasi-variational Inequalities. We obtained local/global error bounds for inverse quasi-variational inequality problems in terms of different gap functions/merit functions i.e. the residual gap function, the regularized gap function and the D-gap function. These bounds provide effective estimated distances between a specific point and the exact solution of inverse quasi-variational inequality problem.
3. Laboratory PROMES (CNRS), University of Perpignan Via Domitia, France
Oct 31, 2012- Nov 30, 2012
Received “Paris-Tech Scholarship ” by Paris-Tech Foundation, France, during this time, and Partial financial support by CERMICS Laboratory.
Collaborative research work with “Prof. Didier Aussel” on Evolutionary variational inequalities.
In this research work we have reformulated a generalized Nash equilibrium problem in a dynamic system into the evolutionary variational inequality in the general setting of quasiconvex decision functions.