4 papers
Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games
Sina Arefizadeh, Angelia NediÄ
In this paper, we study the existence of solutions in non-monotone variational inequalities (VIs) through the normal mapping properties. In particular, we provide sufficient condit…
On Non-Monotone Variational Inequalities
Sina Arefizadeh, Angelia NediÄ
In this paper, we provide some sufficient conditions for the existence of solutions to non-monotone Variational Inequalities (VIs) based on inverse mapping theory and degree theory…
Non-Monotone Variational Inequalities
Sina Arefizadeh, Angelia Nedich
In this paper, we focus on deriving some sufficient conditions for the existence of solutions to non-monotone Variational Inequalities (VIs) based on inverse mapping theory. We hav…
On Characterizations of Potential and Ordinal Potential Games
Sina Arefizadeh, Angelia Nedich, Gautam Dasarathy
This paper investigates some necessary and sufficient conditions for a game to be a potential game. At first, we extend the classical results of Slade and Monderer and Shapley from…