We discuss the endogenous selection of a costly allocation mechanism in a pure exchange economy. The allocation mechanism is modeled as an abstract trade center exhibiting setup costs, access costs and linear transaction costs. Exactly one trade center has to be selected. We define Pareto...

Directed minimum cost spanning tree problems of a special kind are studied, namely those which show up in considering the problem of connecting units (houses) in mountains with a purifier. For such problems an easy method is described to obtain a minimum cost spanning tree. The related cost...

In this paper we propose a new rule to allocate risk capital to portfolios or divisions within a firm. Specifically, we determine the capital allocation that minimizes the excesses of sets of portfolios in lexicographical sense. The excess of a set of portfolios is defined as the expected loss...