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.

The recent macroeconomic literature stresses the importance of managing heterogeneous expectations in the formulation of monetary policy. We use a stylized macro model of Howitt (1992) to investigate inflation dynamics under alternative interest rate rules when agents have heterogeneous...

We introduce the notion of a stone age equilibrium to study societies in which property rights are absent, bilateral exchange is either coercive or voluntary, and relative strength governs power relations in coercive exchange. We stress the importance of free disposal of goods which allows for...

The Babylonian bridal auction, described by Herodotus, is regarded as one of the earliest uses of an auction in history. Yet, to our knowledge, the literature lacks a formal equilibrium analysis of this auction. We provide such an analysis for the twoplayer case with complete and incompete...

Despite the mixed empirical evidence, many economists stillhold to the view that Internet will promote competition betweenfirms,thereby lowering prices and increasing economic welfare. This paperpresents a search model that provides a different view. We analyzethemarket for a homogeneous good...

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...

The concept of resilience has received a great deal of attention in the past decades. Starting fromthe first fundamental definitions offered by Holling, Pimms and Perrings in an economic-ecologicalmodeling context, the present paper explores the ‘evolution’ of the resilience concept – as...

The paper revisits the problem of wage bargaining between a firm and multiple workers. We show that the Subgame Perfect Equilibrium of the extensive-form game proposed by Stole and Zwiebel (1996a) does not imply a profile of wages and profits that coincides with the Shapley values as claimed in...