Deciding how to allocate the seats of a house of representatives is one of the most fundamental problems in the political organization of societies, and has been widely studied over already two centuries. The idea of proportionality is at the core of most approaches to tackle this problem, and...

According to Wardrop's first principle, agents in a congested network choose their routes selfishly, a behavior that is captured by the Nash equilibrium of the underlying noncooperative game. A Nash equilibrium does not optimize any global criterion per se, and so there is no apparent reason why...

Companies in diverse industries have to decide the pricing policy of their inventory over time. This decision becomes particularly complex when customers accommodate their purchase decision in the hope of future discounts and promotions. With such uncertainty, many of these customers may end up...

In this paper, a case study accomplished for the production planning of a German steel producer is presented. This includes the description of a lot-sizing problem and a related simple mathematical model formulated in order to meet the requirements for the mid- to long-term planning of the steel...