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Stability of money: phase transitions in an Ising economy

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  • Bornholdt, Stefan
  • Wagner, Friedrich

Abstract

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.

Suggested Citation

  • Bornholdt, Stefan & Wagner, Friedrich, 2002. "Stability of money: phase transitions in an Ising economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 453-468.
    • Handle: RePEc:eee:phsmap:v:316:y:2002:i:1:p:453-468
    DOI: 10.1016/S0378-4371(02)01218-9
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    References listed on IDEAS

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    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
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    Cited by:

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    2. Francisco Prieto-Castrillo & Amin Shokri Gazafroudi & Javier Prieto & Juan Manuel Corchado, 2018. "An Ising Spin-Based Model to Explore Efficient Flexibility in Distributed Power Systems," Complexity, Hindawi, vol. 2018, pages 1-16, May.
    3. Ko, Bonggyun & Kim, Kyungwon, 2017. "Simulation of sovereign CDS market based on interaction between market participant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 324-340.
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    5. Sousa, Tânia & Domingos, Tiago, 2006. "Equilibrium econophysics: A unified formalism for neoclassical economics and equilibrium thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 492-512.
    6. Fang, Wen & Wang, Jun, 2013. "Fluctuation behaviors of financial time series by a stochastic Ising system on a Sierpinski carpet lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4055-4063.

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