In this article, we compare two different calmness conditions which are widely used in the literature on bilevel programming and on mathematical programs with equilibrium constraints. In order to do so, we consider convex bilevel programming as a kind of intersection between both research areas. The so-called partial calmness concept is based on the function value approach for describing the lo...

This work regards the order polytopes arising from class of generalized snake posets and their meet-irreducible elements. Among same rank, we characterize those whose have minimal maximal volume. We give a combinatorial characterization circuits in related then conclude that all triangulations are unimodular. For word, count number flips for canonical triangulation these polytopes. determine fl...

In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series numbers. The mean, or Kolmogorov–Nagumo generalizes the classical mean and appears in many disciplines, from information theory to physics, economics traffic flow. Stochastic orders are defined on weights (or equivalently, discrete probability distributions). They were introd...