A mean-field game of market-making against strategic traders
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- Philippe Bergault & Olivier Guéant, 2021.
"Size matters for OTC market makers: General results and dimensionality reduction techniques,"
Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 279-322, January.
- Philippe Bergault & Olivier Guéant, 2020. "Size matters for OTC market makers: general results and dimensionality reduction techniques," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02987894, HAL.
- Philippe Bergault & Olivier Guéant, 2021. "Size matters for OTC market makers: General results and dimensionality reduction techniques," Post-Print hal-03885108, HAL.
- Philippe Bergault & Olivier Guéant, 2020. "Size matters for OTC market makers: general results and dimensionality reduction techniques," Working Papers hal-02987894, HAL.
- Philippe Bergault & Olivier Guéant, 2021. "Size matters for OTC market makers: General results and dimensionality reduction techniques," Post-Print hal-03252557, HAL.
- Philippe Bergault & Olivier Guéant, 2021. "Size matters for OTC market makers: General results and dimensionality reduction techniques," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03252557, HAL.
- Olivier Guéant & Iuliia Manziuk, 2019.
"Deep Reinforcement Learning for Market Making in Corporate Bonds: Beating the Curse of Dimensionality,"
Applied Mathematical Finance, Taylor & Francis Journals, vol. 26(5), pages 387-452, September.
- Olivier Guéant & Iuliia Manziuk, 2019. "Deep Reinforcement Learning for Market Making in Corporate Bonds: Beating the Curse of Dimensionality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03252505, HAL.
- Olivier Guéant & Iuliia Manziuk, 2019. "Deep Reinforcement Learning for Market Making in Corporate Bonds: Beating the Curse of Dimensionality," Post-Print hal-03252505, HAL.
- Sanford J. Grossman & Merton H. Miller, 1988.
"Liquidity and Market Structure,"
NBER Working Papers
2641, National Bureau of Economic Research, Inc.
- Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
- Olivier Gu'eant & Charles-Albert Lehalle & Joaquin Fernandez Tapia, 2011.
"Dealing with the Inventory Risk. A solution to the market making problem,"
Papers
1105.3115, arXiv.org, revised Aug 2012.
- Olivier Guéant & Charles-Albert Lehalle & Joaquin Fernandez Tapia, 2013. "Dealing with the Inventory Risk. A solution to the market making problem," Post-Print hal-01393110, HAL.
- Álvaro Cartea & Ryan Donnelly & Sebastian Jaimungal, 2018. "Enhancing trading strategies with order book signals," Applied Mathematical Finance, Taylor & Francis Journals, vol. 25(1), pages 1-35, January.
- repec:bla:jfinan:v:43:y:1988:i:3:p:617-37 is not listed on IDEAS
- Madhavan, Ananth & Richardson, Matthew & Roomans, Mark, 1997.
"Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks,"
The Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1035-1064.
- Ananth Madhavan & Matthew Richardson & Mark Roomans, "undated". "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," Rodney L. White Center for Financial Research Working Papers 20-94, Wharton School Rodney L. White Center for Financial Research.
- Ananth Madhavan & Matthew Richardson & Mark Roomans, 1996. "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-34, New York University, Leonard N. Stern School of Business-.
- Olivier Gu'eant & Iuliia Manziuk, 2019. "Deep reinforcement learning for market making in corporate bonds: beating the curse of dimensionality," Papers 1910.13205, arXiv.org.
- Philippe Bergault & David Evangelista & Olivier Guéant & Douglas Vieira, 2021.
"Closed-form Approximations in Multi-asset Market Making,"
Applied Mathematical Finance, Taylor & Francis Journals, vol. 28(2), pages 101-142, March.
- Philippe Bergault & Olivier Guéant & David Evangelista & Douglas Vieira, 2021. "Closed-form Approximations in Multi-asset Market Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03680074, HAL.
- Philippe Bergault & Olivier Guéant & David Evangelista & Douglas Vieira, 2021. "Closed-form Approximations in Multi-asset Market Making," Post-Print hal-03680074, HAL.
- Omar El Euch & Thibaut Mastrolia & Mathieu Rosenbaum & Nizar Touzi, 2021. "Optimal make–take fees for market making regulation," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 109-148, January.
- Fabien Guilbaud & Huyên Pham, 2013. "Optimal high-frequency trading with limit and market orders," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 79-94, January.
- Philippe Casgrain & Sebastian Jaimungal, 2020. "Mean‐field games with differing beliefs for algorithmic trading," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 995-1034, July.
- Ho, Thomas & Stoll, Hans R., 1981.
"Optimal dealer pricing under transactions and return uncertainty,"
Journal of Financial Economics, Elsevier, vol. 9(1), pages 47-73, March.
- Thomas Ho & Hans Stoll, "undated". "Optimal Dealer Pricing Under Transactions and Return Uncertainty," Rodney L. White Center for Financial Research Working Papers 27-79, Wharton School Rodney L. White Center for Financial Research.
- Christian Y. Robert & Mathieu Rosenbaum, 2011. "A New Approach for the Dynamics of Ultra-High-Frequency Data: The Model with Uncertainty Zones," Journal of Financial Econometrics, Oxford University Press, vol. 9(2), pages 344-366, Spring.
- Bastien Baldacci & Philippe Bergault & Olivier Guéant, 2021.
"Algorithmic market making for options,"
Quantitative Finance, Taylor & Francis Journals, vol. 21(1), pages 85-97, January.
- Bastien Baldacci & Philippe Bergault & Olivier Guéant, 2021. "Algorithmic market making for options," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03252585, HAL.
- Bastien Baldacci & Philippe Bergault & Olivier Guéant, 2021. "Algorithmic market making for options," Post-Print hal-03252585, HAL.
- Marco Avellaneda & Sasha Stoikov, 2008. "High-frequency trading in a limit order book," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 217-224.
- Bastien Baldacci & Dylan Possamai & Mathieu Rosenbaum, 2019. "Optimal make take fees in a multi market maker environment," Papers 1907.11053, arXiv.org, revised Mar 2021.
- Bastien Baldacci & Iuliia Manziuk, 2020. "Adaptive trading strategies across liquidity pools," Papers 2008.07807, arXiv.org.
- Matthieu Wyart & Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters & Michele Vettorazzo, 2008. "Relation between bid-ask spread, impact and volatility in order-driven markets," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 41-57.
- Xuancheng Huang & Sebastian Jaimungal & Mojtaba Nourian, 2019. "Mean-Field Game Strategies for Optimal Execution," Applied Mathematical Finance, Taylor & Francis Journals, vol. 26(2), pages 153-185, March.
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NEP fields
This paper has been announced in the following NEP Reports:- NEP-GTH-2022-05-02 (Game Theory)
- NEP-MST-2022-05-02 (Market Microstructure)
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