Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.

In this paper which will appear as a chapter in the Handbook ofGeneralized Convexity we discuss the basic ideas ofconvex and quasiconvex analysis in finite dimensional Euclideanspaces. To illustrate the usefulness of this branchof mathematics also applications to optimization theory...

We investigate the valuation of platform investment, such as asoftware operating system or anInternet portal WebPage. Platform investment is the creation of aninnovative distribution andproduction infrastructure, which increases access to customers; as aresult it reduces entry costs inrelated...

This paper investigates strategic interactions between a private highway operator anda private transit operator who uses the same highway for its services. Heterogeneity oftravellers is taken into account by considering a continuous distribution of values of time.Demand elasticity arises from...

This contribution deals with the fundamental critique in Dinar et al. (1992, Theory and Decision 32) on the use of Game theory in water management: People are reluctant to monetary transfers unrelated to water prices and game theoretic solutions impose a computational burden. For the bilateral...

In procurement auctions, bidders are usually better informed about technical, financial, or legal aspects of the goods and services procured. Therefore, the buyer may include a dialogue in the procurement procedure which enables the suppliers to reveal information that will help the buyer to...