The equilibrium composition of a mixture of reacting molecules is essential to many physical and chemical systems. The computation of chemical equilibrium is generally thought to be challenging, and, as such, only simple ideal cases are introduced in textbooks. We show that the computation of chemical equilibrium in closed systems can in general be formulated as a convex optimization problem, l...

Carbon leakage in this paper is the phenomenon whereby Electricity Intensive Industries subject to harsh environmental standards move their activity or part of it to more environmentally lenient regions. Carbon leakage has been mentioned as a possible outcome of the EU Emission Trading Scheme. Different studies are underway to assess the reality of the phenomenon and to devise policies to mitig...

In this paper we develop an algorithm for solving a version of the (static) traac equilibrium problem in which the cost incurred on each path is not simply the sum of the costs on the arcs that constitute that path. The method we describe is based on the recent NE/SQP algorithm , a fast and robust technique for solving nonlinear complementarity problems. Finally, we present an example that illu...

This paper studies the problem of random assignment with fractional endowments. Fractional endowments complicate matters because the assignment has to make an agent weakly better off than his endowment. I first formulate an exchange economy that resembles the random assignment problem and prove the existence of competitive equilibrium in this economy. I then propose a pseudo-market mechanism fo...

The budget network design problem and fixed-charge network design problem imply different economic pursuits on travel cost and construction cost and structure these two cost components in different ways. A more general version of these two classic formulations is the biobjective network design problem. This article discusses an exact solution strategy for the biobjective discrete network design...

We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.

Abstract: This paper incorporates two side constraints, namely, the link capacity and first-in-first-out (FIFO) constraints, into the dynamic user equilibrium (DUE) problem. Although the link capacity constraint has been addressed in the literature, its implications for the associated multiple-valued dual variables have not been properly drawn out and, thus, the matter is still subject to contr...

The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Löbell in 1931 from eight copies of the right-angled 14-hedron. We consider the family of hyperbolic polyhedra which generalize the Lambert cube and the Löbell polyhedron. For polyhedra from this family we give trigonometric relations between essential dihedral angles and lengths and obtain volume formulae in v...

By analogy with the conjecture of Hirsch, we conjecture that the order of the largest total curvature of the central path associated to a polytope is the number of inequalities deflning the polytope. By analogy with a result of Dedieu, Malajovich and Shub, we conjecture that the average diameter of a bounded cell of an arrangement is less than the dimension. We prove continuous analogues of two...