• Corpus ID: 120776334

Non-equilibrium statistical mechanics of Minority Games

@article{Coolen2002NonequilibriumSM,
  title={Non-equilibrium statistical mechanics of Minority Games},
  author={Anthony C. C. Coolen},
  journal={Markov Processes and Related Fields},
  year={2002},
  volume={9},
  pages={177-194}
}
  • A. Coolen
  • Published 13 May 2002
  • Economics
  • Markov Processes and Related Fields
In this paper I give a brief introduction to a family of simple but non-trivial models designed to increase our understanding of collective processes in markets, the so-called Minority Games, and their non-equilibrium statistical mathematical analysis. Since the most commonly studied members of this family define disordered stochastic processes without detailed balance, the canonical technique for finding exact solutions is found to be generating functional analysis a la De Dominicis, as… 

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References

Spin Glass Theory and Beyond

This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular