Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe literature. We propose a new method, where the power of a node is determined by both thenumber of its...

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...

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...

This paper studies urban sustainability from the perspective ofexternalities. We develop a general spatialequilibrium model of a monocentric city, in which two types ofexternalities occur. On the one hand, pollution inthe industrial centre leads to a spatially differentiateddeterioration of the...

This paper gives a concise overview of environmental-economicanalysis. Important issues and modern developments in the field aresurveyed in a systematic way. Next, the concept of sustainabledevelopment is discussed, as it has dominated environmental economicsfor almost a decade now. In addition,...

There is an increasing awareness of the potential of nonlinear modeling in regional science, which can partly be explained by the recognition of the limitations of conventional equilibrium models in complex situationsand partly by the easy availability and accessibility of sophisticated...

The paper applies Ricardo's principle of comparative advantage to analyze the substitutability between types of labor. The problem of having to classify labor in a small number of types in e.g. standard CES models are avoided by applying a continuum of worker and job types, where better skilled...

The effect of economic behaviour of different actors on the size of a market area is a classical subject of study in regional economics and over the years many studies have been published on this subject. Regional market differences are not only relevant in (location-) allocation theory, but...

After the Kyoto agreements the need has arisen to trace the implications ofvarious international environmentalstrategies. In this paper, we discuss relevant modelling issues ofincorporating important environmental policy measures in one ofthe popular applied general equilibrium models for...

In this paper the behavior of producers in a social environment is considered from a more sociological point of view than is usually done in economics. The producers play Bertrand price competition against each other and change the action they played based upon the outcome of the game, according...