In this paper, we consider a two-dimensional map (a duopoly game) in which the fixed point is destabilized via a subcritical Neimark–Hopf (N–H) bifurcation. Our aim is to investigate, via numerical examples, some global bifurcations associated with the appearance of repelling closed...

In some previous papers the present authors reassembled the Hicksian trade cycle model in a new way. The floor was tied to depreciation on capital, itself the cumulative sum of past net investments, for which the principle of acceleration provided an explanation. Hence no alien elements were...

This article considers a Cournot duopoly under an isoelastic demand function and cost functions with built-in capacity limits. The special feature is that each firm is assumed to operate multiple plants, which can be run alone or in combination. Each firm has two plants with different capacity...

The first part of this book is an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations, both ordinary and partial, further with discrete maps, and with catastrophe theory. Phenomena such as bifurcations and deterministic chaos are given...

This book has its focus on the dynamics of oligopoly games. Several contributions show how easily the unique Nash equilibria in some most traditional oligopoly models may lose stability, giving way to complex phenomena, such as periodic/chaotic processes, and to multi stability of coexistent...

The theme of this book is the emergence and survival of spatial economic structures. How are economic structures created in an otherwise homogeneous environment? The answer is found through an analysis of economic forces that operate in the two dimensional continuum of space. And here economies...

Puu, Mathematical Location and Land Use Theory, 2nd rev. and enl. edition Extracts from reviews to the first edition: "This book is an excellent introduction to the theory of continuous location of economic activities in two-dimensional space based on differential equations and to their solution...

The book studies nonlinear economic dynamics. Formation of spatial patterns, population dynamics in space and time, and spatial waves of business cycles are discussed. The main part dwells on business cycle theory, using a multiplier-accelerator model in a spatial setting with interregional...