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

In this paper we present two general results on the existence of a discrete zero point of a function from the <I>n</I>-dimensional integer lattice Z<SUP><I>n</SUP></I> to the <I>n</I>-dimensional Euclidean space R<SUP><I>n</SUP></I>. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...</i></sup></i></i></sup></i>

In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying dimension. Conditions are stated under which the algorithm...

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 {1,2,...n,-1,-2,....-n} with the property that antipodal vertices on the...

In a standard general equilibrium model it is assumed that there are no price restictions and that prices adjust infinitely fast to their equilibrium values. In this paper the set of admissible prices is allowed to be an arbitrary convex set. For such an arbitrary set it cannot be guaranteed...

We examine linkages between aggregate household income, distribution of that income, and aggregate cross-country expenditure patterns. We are able to decompose income effects into international income dispersion effects (from variations in average income) and national income dispersion (income...

<I>Abstract</I><p> See document.<p>

This paper determines the structural shocks that shape a firm's first year by estimating a structural model of firm growth, learning, and survival using monthly sales histories from 305 Texas bars. We find that heterogeneity in firms' pre-entry scale decisions accounts for about 40% of their...

Unique-lowest sealed-bid auctions are auctions in which participation is endogenous and the winning bid is the lowest bid among all unique bids. Such auctions admit very many Nash equilibria (NEs) in pure and mixed strategies. The two-bidders' auction is similar to the Hawk-Dove game, which...

This paper aims to provide a statistical analysis of the relative economic performance of Italian tourist areas. It uses two modelling approaches to estimate the competitiveness of these regions, viz. data envelopment analysis (DEA) and the Malmquist method. Our results show that the...