Ergodic Transition in a Simple Model of the Continuous Double Auction

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Ergodic Transition in a Simple Model of the Continuous Double Auction

We study a phenomenological model for the continuous double auction, whose aggregate order process is equivalent to two independent M/M/1 queues. The continuous double auction defines a continuous-time random walk for trade prices. The conditions for ergodicity of the auction are derived and, as a consequence, three possible regimes in the behavior of prices and logarithmic returns are observed...

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ژورنال

عنوان ژورنال: PLoS ONE

سال: 2014

ISSN: 1932-6203

DOI: 10.1371/journal.pone.0088095