On the significance of borders: the emergence of endogenous dynamics
Ingrid Kubin () and
Laura Gardini ()
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Ingrid Kubin: WU Vienna University of Economics and Business
Laura Gardini: University of Urbino
Journal of Economic Interaction and Coordination, 2022, vol. 17, issue 1, No 4, 62 pages
Abstract We propose a prototype model of market dynamics in which all functional relationships are linear. We take into account three borders, defined by linear functions, that are intrinsic to the economic reasoning: non-negativity of prices; downward rigidity of capacity (depreciation); and a capacity constraint for the production decision. Given the linear specification, the borders are the only source for the emerging of cyclical and more complex dynamics. In particular, we discuss centre bifurcations, border collision bifurcations and degenerate flip bifurcations—dynamic phenomena the occurrence of which are intimately related to the existence of borders.
Keywords: Capacity constraint; Depreciation constraint; Nonnegativity constraint; Piecewise smooth system; Border collision bifurcation; Centre bifurcation (search for similar items in EconPapers)
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