On the variational equilibrium as a refinement of the generalized Nash equilibrium

AA Kulkarni, UV Shanbhag - Automatica, 2012 - Elsevier
We are concerned with a class of games in which the players' strategy sets are coupled by a
shared constraint. A widely employed solution concept for such generalized Nash games is …

Tensor complementarity problems—part I: basic theory

ZH Huang, L Qi - Journal of Optimization Theory and Applications, 2019 - Springer
Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor
complementarity problem is a class of nonlinear complementarity problems with the involved …

The generalized order linear complementarity problem

MS Gowda, R Sznajder - SIAM Journal on Matrix Analysis and Applications, 1994 - SIAM
The generalized order linear complementarity problem (in the setting of a finite dimensional
vector lattice) is the problem of finding a solution to the piecewise-linear system …

Exceptional families, topological degree and complementarity problems

G Isac, V Bulavski, V Kalashnikov - Journal of Global Optimization, 1997 - Springer
By using the topological degree we introduce the concept of''exceptionalfamily of elements
''specifically for continuous functions. This has importantconsequences pertaining to the …

Polynomial complementarity problems

MS Gowda - arXiv preprint arXiv:1609.05267, 2016 - arxiv.org
Given a polynomial map f on the Euclidean n-space and a vector q, the polynomial
complementarity problem, PCP (f, q), is the nonlinear complementarity problem of finding a …

On a generalization of a normal map and equation

JS Pang, JC Yao - SIAM Journal on Control and Optimization, 1995 - SIAM
The class of normal maps was recently investigated by Robinson and Ralph in connection
with the study of a variational inequality defined on a polyhedral set. In this paper a …

The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra

X Chi, MS Gowda, J Tao - Journal of Global Optimization, 2019 - Springer
A weighted complementarity problem is to find a pair of vectors belonging to the intersection
of a manifold and a cone such that the product of the vectors in a certain algebra equals a …

On the boundedness and stability of solutions to the affine variational inequality problem

MS Gowda, JS Pang - SIAM Journal on Control and Optimization, 1994 - SIAM
This paper investigates the boundedness and stability of solutions to the affine variational
inequality problem. The concept of a solution ray to a variational inequality defined by an …

The generalized linear complementarity problem revisited

SR Mohan, SK Neogy, R Sridhar - Mathematical Programming, 1996 - Springer
Given a vertical block matrix A, we consider in this paper the generalized linear
complementarity problem VLCP (q, A) introduced by Cottle and Dantzig. We formulate this …

A generalization of the Nash equilibrium theorem on bimatrix games

M Seetharama Gowda, R Sznajder - International Journal of Game Theory, 1996 - Springer
In this article, we consider a two-person game in which the first player picks a row
representative matrix M from a nonempty set A of m× n matrices and a probability distribution …