Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-10-10
Physica A 316 (2002) 453-468
Physics
Condensed Matter
Statistical Mechanics
9 pages RevTeX, 5 figures PostScript
Scientific paper
10.1016/S0378-4371(02)01218-9
The stability of money value is an important requisite for a functioning economy, yet it critically depends on the actions of participants in the market themselves. Here we model the value of money as a dynamical variable that results from trading between agents. The basic trading scenario can be recast into an Ising type spin model and is studied on the hierarchical network structure of a Cayley tree. We solve this model analytically and observe a phase transition between a one state phase, always allowing for a stable money value, and a two state phase, where an unstable (inflationary) phase occurs. The onset of inflation is discontinuous and follows a first order phase transition. The stable phase provides a parameter region where money value is robust and can be stabilized without fine tuning.
Bornholdt Stefan
Wagner Friedrich
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