It is known that complementarity functions play an important role in dealing with complementarity problems. The most well known complementarity problem is the symmetric cone complementarity problem (SCCP) which includes nonlinear complementarity problem (NCP), semidefinite complementarity problem (SDCP), and second-order cone complementarity problem (SOCCP) as special cases. Moreover, there is ...

The dichotomy between endophysical/intrinsic and exophysical/extrinsic perception concerns the question of how a model—mathematical, logical, computational—universe is perceived from inside or from outside, [71, 65, 66, 59, 60, 68, 67]. This distinction goes back in time at least to Archimedes, reported to have asked for a point outside the world from which one could move the earth. An exophysi...

We present a theory of why some countries negotiate trade agreements during economic downturns. We argue that political leaders can gain from such agreements because of the signals they send to their publics. Publics are less likely to blame leaders for bad economic conditions when they have implemented sound economic policies, such as signing and implementing agreements designed to liberalize ...

In this paper, we propose a new linear complementarity problem named as bi-linear complementarity problem (BLCP) and the method for solving BLCP. In addition, the algorithm for error estimation of BLCP is also given. Numerical experiments show that the algorithm is efficient. Keywords—Bi-linear complementarity problem, Linear complementarity problem, Extended linear complementarity problem, Err...

We consider the Fold Complementarity Problem, which is one of the recent subjects in complementarity theory. It is a mathematical model used in economics in the study of distributive problems (cf. [25], [5]). A particular case is the k-Fold Complementarity Problem, studied using a variant of the notion of Z-function by A. Villar [25]. In this way, Villar obtained the solution of this problem as...

The simulation of multibody dynamics with physical constraints has been significant in the areas of science, engineering, computer graphics and robotics. There is a growing need for fast, accurate simulation tools in robotics applications such as manipulation planning and model-predictive control. However, the underlying dynamics model of multibody systems with contacts and friction is fundamen...