Minsky Financial Instability, Interscale Feedback, Percolation and Marshall–Walras Disequilibrium

Sorin Solomon and Natasa Golo

Accounting, Economics, and Law: A Convivium, 2013, vol. 3, issue 3, 167-260

Abstract: We study analytically and numerically Minsky instability as a combination of top–down, bottom–up and peer-to-peer positive feedback loops. The peer-to-peer interactions are represented by the links of a network formed by the connections between firms; contagion leading to avalanches and percolation phase transitions propagating across these links. The global parameter in the top–bottom – bottom–up feedback loop is the interest rate. Before the Minsky Moment, in the “Minsky loans accelerator” stage the relevant “bottom” parameter representing the individual firms’ micro-states is the quantity of loans. After the Minsky Moment, in the “Minsky crisis accelerator” stage, the relevant “bottom” parameters are the number of ponzi units/quantity of failures/defaults. We represent the top–bottom, bottom–up interactions on a plot similar to the Marshall–Walras diagram for quantity-price market equilibrium (where the interest rate is the analog of the price). The Minsky instability is then simply emerging as a consequence of the fixed point (the intersection of the supply and demand curves) being unstable (repulsive). In the presence of network effects, one obtains more than one fixed point and a few dynamic regimes (phases). We describe them and their implications for understanding, predicting and steering economic instability.

Keywords: economic theory; finance; macroeconomics; ponzi units; Minsky accelerator (search for similar items in EconPapers)
Date: 2013
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Working Paper: Minsky Financial Instability, Interscale Feedback, Percolation and Marshall-Walras Disequilibrium (2014)
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DOI: 10.1515/ael-2013-0029

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