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Expectations and industry location: a discrete time dynamical analysis

Author

Listed:
  • Anna Agliari
  • Pasquale Commendatore
  • Ilaria Foroni

    ()

  • Ingrid Kubin

Abstract

The new economic geography (NEG) aims to explain long-term patterns in the spatial allocation of industrial activities. It stresses that endogenous economic processes may enlarge small historic differences leading to quite different regional patterns—history matters for the long-term geographical distribution of economic activities. A pivotal element is that productive factors move to another region whenever the anticipated remuneration is higher in that region. Given the long-term nature of NEG analyses and the crucial role of expectations, it is astonishing that most of the existing models assume only naïve or myopic expectations. However, a recent stream of the literature in behavioral and experimental economics shows that agents often use expectational heuristics, such as trend extrapolating and trend reverting rules. We introduce such expectations formation hypotheses into a NEG model formulated in discrete time. This modification leads to a system of two nonlinear difference equations (corresponding, in the language of dynamical systems theory, to a 2-dimensional piecewise smooth map) and thus enriches the possible dynamic patterns: with trend extrapolating (reverting) the symmetric equilibrium is less (more) stable; and it may lose stability only via a flip bifurcation (or also via a Neimark–Sacker bifurcation) giving rise to a period-doubling cascade (or also to quasi-periodic orbits). In both cases, complex behavior is possible; multistability, that is, the coexistence of locally stable equilibria, is pervasive; and border-collision bifurcations are also allowed. In this sense, our analysis corroborates some of the basic insights of the NEG. Copyright Springer-Verlag Italia 2014

Suggested Citation

  • Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2014. "Expectations and industry location: a discrete time dynamical analysis," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 3-26, April.
  • Handle: RePEc:spr:decfin:v:37:y:2014:i:1:p:3-26
    DOI: 10.1007/s10203-012-0139-1
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    2. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Stability and welfare effects of profit taxes within an evolutionary market interaction model," BERG Working Paper Series 122, Bamberg University, Bamberg Economic Research Group.

    More about this item

    Keywords

    New economic geography; Expectations formation; Footloose capital; Piecewise smooth maps; Border-collision bifurcations; R12; D84; C62;

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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