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Variational Analysis of Generalized Games over Banach spaces
Asrifa Sultana, Shivani Valecha
We study generalized games defined over Banach spaces using variational analysis. To reformulate generalized games as quasi-variational inequality problems, we will first form a su…
Projected solution for Generalized Nash Games with Non-ordered Preferences
Asrifa Sultana, Shivani Valecha
Any individual's preference represents his choice in the set of available options. It is said to be complete if the person can compare any pair of available options. We aim to init…
Variational Reformulation of Generalized Nash Equilibrium Problems with Non-ordered Preferences
Asrifa Sultana, Shivani Valecha
The preferences of players in non-cooperative games represent their choice in the set of available options, which meet the completeness property if players are able to compare any…
Finite Convergence Criteria for Normalized Nash Equilibrium through Weak Sharpness and Linear Conditioning
Asrifa Sultana, Shivani Valecha
The generalized Nash equilibrium problems play a significant role in modeling and analyzing several complex economics problems. In this work, we consider jointly convex generalized…
Existence Theorems on Quasi-variational Inequalities over Banach Spaces and its Applications to Time-dependent Pure Exchange Economy
Asrifa Sultana, Shivani Valecha
We study a class of quasi-variational inequality problems defined over infinite dimensional Banach space and deduce sufficient conditions for ensuring solutions to such problems un…