AMS classifications: 47H10; 54H25; 55M20; 90C26; 90C33; 91B50;

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set f§1;§2; ¢ ¢ ¢ ;§ng with the property that antipodal vertices on the...

In this paper an algorithm is proposed to .nd a discrete zero point of a function on the collection of integral points in the n-dimensional Euclidean space IRn.Starting with a given integral point, the algorithm generates a .nite sequence of adjacent integral simplices of varying dimension and...

The well known Sperner lemma states that in a simplicial subdivision of a simplex with a properly labeled boundary there is a completely labeled simplex. We present two combinatorial theorems on polytopes which generalize Sperner's lemma.Using balanced simplices, a generalized concept of...

In this paper we study the existence problem of a zero point of a function defined on a finite set of elements of the integer lattice Zn of the n-dimensional Euclidean space IRn. It is assumed that the set is integrally convex, which implies that the convex hull of the set can be subdivided in...

This paper deals with the optimal provision of infrastructure by means of public-private partnership contracts.In the economic literature infrastructure is characterized as a large, indivisible and non-rival capital good that produces services for its users.Users can be both consumers and...

It is well-known that the classical Walrasian tatonnement process of adjusting prices does not need to converge.In several papers Weddepohl has shown cyclic or even chaotic behavior in discrete time tatonnement processes.Starting from a trivial non-trade disequilibrium with complete rationing on...