## Sufficient weighted complementarity problems

This paper presents some fundamental results about sufficient linear weighted complementarity problems. Such a problem depends on a nonnegative weight vector. If the weight vector is zero, the problem reduces to a sufficient linear complementarity problem that has been extensively studied. The introduction of the more general notion of a weighted complementarity problem (wCP) was … Read more

## Weighted complementarity problems – a new paradigm for computing equilibria

This paper introduces the notion of a weighted Complementarity Problem (wCP), which consists in finding a pair of vectors \$(x,s)\$ belonging to the intersection of a manifold with a cone, such that their product in a certain algebra, \$x\circ s\$, equals a given weight vector \$w\$. When \$w\$ is the zero vector, then wCP reduces … Read more