2010
DOI: 10.1140/epjb/e2010-10406-4
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A multi agent model for the limit order book dynamics

Abstract: Abstract. In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The agents follow a noise decision making process where their actions are related to a stochastic variable, the market sentiment, which we define as a mixture of public and private information. The model, despite making just few basic assumptions over the trading strategie… Show more

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Cited by 21 publications
(13 citation statements)
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“…Price determination . Similar to [ 34 ], the price set by the i -th agent is distributed around the bid (in case of a buy order) or ask price (in case of a sell order). Namely, where and are the bid and ask price before agent i participates to the k -th trading session, and η i ( k ) is the realization of a log-normal random variable with meta-parameters defined as in [ 34 ], that is, with mean 7 and standard deviation 10; the shift parameter m is the median of the distribution, and regulates the tradeoff between market and limit orders.…”
Section: Methodsmentioning
confidence: 99%
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“…Price determination . Similar to [ 34 ], the price set by the i -th agent is distributed around the bid (in case of a buy order) or ask price (in case of a sell order). Namely, where and are the bid and ask price before agent i participates to the k -th trading session, and η i ( k ) is the realization of a log-normal random variable with meta-parameters defined as in [ 34 ], that is, with mean 7 and standard deviation 10; the shift parameter m is the median of the distribution, and regulates the tradeoff between market and limit orders.…”
Section: Methodsmentioning
confidence: 99%
“…Similar to [ 34 ], the price set by the i -th agent is distributed around the bid (in case of a buy order) or ask price (in case of a sell order). Namely, where and are the bid and ask price before agent i participates to the k -th trading session, and η i ( k ) is the realization of a log-normal random variable with meta-parameters defined as in [ 34 ], that is, with mean 7 and standard deviation 10; the shift parameter m is the median of the distribution, and regulates the tradeoff between market and limit orders. The log-normal distribution is selected in accordance with the empirical observations on the order distribution in the book: counter-intuitively, submitted orders are not always market orders or limit orders slightly above the best quote, but may also strongly deviate from (or ) [ 35 ].…”
Section: Methodsmentioning
confidence: 99%
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“…Agents trade an asset for T periods and transactions are executed through a limit-order book (LOB) where the information about the type, the size and the price of all agents' orders is stored (see, for instance, Maslov, 2000;Zovko and Farmer, 2002;Avellaneda and Stoikov, 2008;Bartolozzi, 2010). The market is populated by two groups of agents depending on their trading frequency (i.e., the average amount of time elapsed between two order 4 placements), namely N L low-frequency (LF) and N H high-frequency (HF) traders (N = N L + N H ).…”
Section: The Modelmentioning
confidence: 99%
“…So far, the few existing agent-based models dealing with HFT have mainly treated HF as zero-intelligence agents with an exogenously-given trading frequency [6,11]. However, only few attempts have been made to account for the interplay between HF and LF traders [7,12,13].…”
Section: Introductionmentioning
confidence: 99%