In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The … algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying … dimension. Conditions are stated under which the algorithm terminates with a simplex one of whose vertices is an integral …

proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …

prove this we use a simplicial algorithm that terminates with a zero point within a finite number of iterations. The …

We examine recent claims that a particular Q-learning algorithm used by competitors 'autonomously' and systematically … detailed analysis of the inner workings of this algorithm reveals that there is no immediate reason for alarm. We set out what … is needed to demonstrate the existence of a colluding price algorithm that does form a threat to competition. …