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The latent order book of \cite{donier2015fully} is one of the most promising agent-based models for market impact.
Trading cost: the critical link between investment information and results
Loeb Thomas F · 1983
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Bid, ask and transaction prices in a specialist market with heterogeneously informed traders
Glosten Lawrence R, Milgrom Paul R · 1985
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Continuous auctions and insider trading
Kyle Albert S · 1985
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Mean reversion in stock prices: Evidence and implications
Poterba James M, Summers Lawrence H · 1988
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Price variations in a stock market with many agents
Bak Per, Paczuski Maya, Shubik Martin · 1996
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The market impact model
Torre N, Ferrari Mark J · 1998
Earlier work this paper cites.
Fluctuations and response in financial markets: the subtle nature of ‘random’price changes
Bouchaud Jean-Philippe, Gefen Yuval, Potters Marc, Wyart Matthieu · 2004
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The predictive power of zero intelligence in financial markets
Farmer J Doyne, Patelli Paolo, Zovko Ilija I · 2005
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Optimal liquidity trading
Huberman Gur, Stanzl Werner · 2005
Cited alongside, same era.
Mean field games
Lasry Jean-Michel, Lions Pierre-Louis · 2007
Cited alongside, same era.
Mean reversion in stock prices: New evidence from panel unit root tests for seventeen European countries
Narayan Paresh, Prasad Arti, others · 2007
Cited alongside, same era.
Market making and mean reversion
Chakraborty Tanmoy, Kearns Michael · 2011
Cited alongside, same era.
Permanent market impact can be nonlinear
Guéant Olivier · 2013
Cited alongside, same era.
Agent-based models for latent liquidity and concave price impact
Mastromatteo Iacopo, Toth Bence, Bouchaud Jean-Philippe · 2014
Cited alongside, same era.
A fully consistent, minimal model for non-linear market impact
Donier Jonathan, Bonart Julius, Mastromatteo Iacopo, Bouchaud J-P · 2015
Later among the works it cites.
Anomalous price impact and the critical nature of liquidity in financial markets
Tóth Bence, Lemperiere Yves, Deremble Cyril, De Lataillade Joachim, Kockelkoren Julien, Bouchaud J-P · 2015
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The Square-Root Impace Law Also Holds for Option Markets
Tóth Bence, Eisler Zoltán, Bouchaud J-P · 2016
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Speed of mean reversion: An empirical analysis of KSE, LSE and ISE indices
Palwasha Rana Imroze, Ahmad Nawaz, Ahmed Rizwan Raheem, Vveinhardt Jolita, Štreimikienė Dalia · 2018
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Linear models for the impact of order flow on prices. I. History dependent impact models
Taranto Damian Eduardo, Bormetti Giacomo, Bouchaud Jean-Philippe, Lillo Fabrizio, Tóth Bence · 2018
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A million metaorder analysis of market impact on the Bitcoin
Donier Jonathan, Bonart Julius · 2015
Cited alongside, same era.
Bucci Frédéric, Benzaquen Michael, Lillo Fabrizio, Bouchaud Jean-Philippe · 2019
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From Glosten-Milgrom to the whole limit order book and applications to financial regulation
Huang Weibing, Rosenbaum Mathieu, Saliba Pamela · 2019
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