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Asset price dynamics in a “bull and bear market”

Jochen Jungeilges, Elena Maklakova and Tatyana Perevalova

Structural Change and Economic Dynamics, 2021, vol. 56, issue C, 117-128

Abstract: We generalize an existing asset market model with heterogenous agents. In particular, we consider the case in which no-trade and low-trade intervals of chartists and fundamentalists respectively are not congruent. Thus we model chartist and fundamentalists who respond to asset prices in agent-specific neighborhoods around the fundamental value with different trade intensities. The resulting asset price dynamics is generated by a one-dimensional 5-piece linear map with discontinuities. Our analysis of this map focusses on coexisting price equilibria. Conditions for their existence and stability are determined analytically. By visualizing the results we allow for a basic bifurcation analysis in a 4-dimensional parameter space. According to our findings the extent of the disparity between the no-trade and low-intervals effects the existence of equilibria but not their stability.

Keywords: Behavioral asymmetries; Non-smooth maps; Bifurcation analysis (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:streco:v:56:y:2021:i:c:p:117-128

DOI: 10.1016/j.strueco.2020.08.001

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