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Spooner, Thomas ORCID: 0000-0002-1732-7582 (2021) Algorithmic Trading and Reinforcement Learning: Robust methodologies for AI in finance. PhD thesis, University of Liverpool.

Zhou, Y (2018) Analysing Large-scale Surveillance Video. PhD thesis, University of Liverpool.

Castellini, Jacopo, Oliehoek, Frans A ORCID: 0000-0003-4372-5055, Savani, Rahul ORCID: 0000-0003-1262-7831 and Whiteson, Shimon (2021) Analysing factorizations of action-value networks for cooperative multi-agent reinforcement learning. AUTONOMOUS AGENTS AND MULTI-AGENT SYSTEMS, 35 (2). 25-.

Fearnley, John, Goldberg, Paul W, Savani, Rahul ORCID: 0000-0003-1262-7831 and Sørensen, Troels Bjerre (2016) Approximate Well-supported Nash Equilibria Below Two-thirds. Algorithmica, 76 (2). pp. 297-319.

Spooner, Thomas ORCID: 0000-0002-1732-7582, Jones, Anne E, Fearnley, John, Savani, Rahul ORCID: 0000-0003-1262-7831, Turner, Joanne ORCID: 0000-0002-0258-2353 and Baylis, Matthew ORCID: 0000-0003-0335-187X (2020) Bayesian optimisation of restriction zones for bluetongue control. Scientific Reports, 10 (1). p. 15139.

Oliehoek, Frans A ORCID: 0000-0003-4372-5055, Savani, Rahul ORCID: 0000-0003-1262-7831, Gallego, Jose, van der Pol, Elise and Gross, Roderich (2019) Beyond Local Nash Equilibria for Adversarial Networks. Springer International Publishing.

Hansen, Kristoffer Arnsfelt, Ibsen-Jensen, Rasmus and Koucky, Michal (2016) The Big Match in Small Space (Extended Abstract). .

Fearnley, John, Gordon, Spencer, Mehta, Ruta and Savani, Rahul ORCID: 0000-0003-1262-7831 (2017) CLS: New Problems and Completeness. . (Unpublished)

Fearnley, John, Goldberg, Paul W, Hollender, Alexandros and Savani, Rahul ORCID: 0000-0003-1262-7831 (2021) The Complexity of Gradient Descent: CLS = PPAD ∧ PLS. STOC '21: PROCEEDINGS OF THE 53RD ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING, abs/20. pp. 46-59.

Fearnley, John, Goldberg, Paul, Hollender, Alexandros and Savani, Rahul ORCID: 0000-0003-1262-7831 (2023) The Complexity of Gradient Descent: CLS = PPAD ∧ PLS. JOURNAL OF THE ACM, 70 (1). pp. 1-74.

Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2015) The Complexity of the Simplex Method. In: 47th annual ACM Symposium on Theory of Computing (STOC '15), 2015-6-14 - 2015-6-17.

Deligkas, Argyrios, Fearnley, John, Savani, Rahul ORCID: 0000-0003-1262-7831 and Spirakis, Paul ORCID: 0000-0001-5396-3749 (2017) Computing Approximate Nash Equilibria in Polymatrix Games. ALGORITHMICA, 77 (2). pp. 487-514.

Deligkas, Argyrios, Fearnley, John, Savani, Rahul and Spirakis, Paul G (2017) Computing Approximate Nash Equilibria in Polymatrix Games. Algorithmica, 77. 487 - 514.

Gairing, Martin and Savani, Rahul ORCID: 0000-0003-1262-7831 (2019) Computing Stable Outcomes in Symmetric Additively Separable Hedonic Games. Math. Oper. Res., 44. pp. 1101-1121.

Coletta, Andrea ORCID: 0000-0003-1401-1715, Jerome, Joseph ORCID: 0000-0002-8312-0053, Savani, Rahul ORCID: 0000-0003-1262-7831 and Vyetrenko, Svitlana ORCID: 0000-0001-7650-9880 (2023) Conditional Generators for Limit Order Book Environments: Explainability, Challenges, and Robustness. In: ICAIF '23: 4th ACM International Conference on AI in Finance.

Vadori, Nelson, Savani, Rahul ORCID: 0000-0003-1262-7831, Spooner, Thomas and Ganesh, Sumitra (2022) Consensus Multiplicative Weights Update: Learning to Learn using Projector-based Game Signatures. In: International Conference on Machine Learning (ICML).

Bachrach, Yoram, Savani, Rahul ORCID: 0000-0003-1262-7831 and Shah, Nisarg (2014) Cooperative Max Games and Agent Failures. In: 13th Inter- national Conference on Autonomous Agents and Multiagent Systems (AAMAS 2014), 2014-5-5 - 2014-5-9, Paris, France.

Castellini, Jacopo, Devlin, Sam, Oliehoek, Frans A ORCID: 0000-0003-4372-5055 and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Difference Rewards Policy Gradients. [Internet Publication]

Castellini, Jacopo, Devlin, Sam, Oliehoek, Frans A ORCID: 0000-0003-4372-5055 and Savani, Rahul ORCID: 0000-0003-1262-7831 (2022) Difference rewards policy gradients. .

Czumaj, Artur, Deligkas, Argyrios, Fasoulakis, Michail, Fearnley, JS, Jurdzinski, Marcin and Savani, Rahul ORCID: 0000-0003-1262-7831 (2019) Distributed Methods for Computing Approximate Equilibria. Algorithmica: an international journal in computer science, 81 (3). pp. 1205-1231.

Igwe, Tobenna (2018) An Empirical Study on Computation of Exact and Approximate Equilibria. PhD thesis, University of Liverpool.

Fearnley, John, Gordon, Spencer, Mehta, Ruta and Savani, Rahul ORCID: 0000-0003-1262-7831 (2018) End of Potential Line. .

Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2021) A Faster Algorithm for Finding Tarski Fixed Points. 38TH INTERNATIONAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2021), 187.

Fearnley, John, Palvolgyi, Domotor and Savani, Rahul ORCID: 0000-0003-1262-7831 (2022) A Faster Algorithm for Finding Tarski Fixed Points. ACM TRANSACTIONS ON ALGORITHMS, 18 (3). 29:1-29:1.

Fearnley, John, Pálvölgyi, Dömötör and Savani, Rahul ORCID: 0000-0003-1262-7831 (2022) A Faster Algorithm for Finding Tarski Fixed Points. ACM Transactions on Algorithms, 18 (3). pp. 1-23.

Oliehoek, Frans A ORCID: 0000-0003-4372-5055, Savani, Rahul ORCID: 0000-0003-1262-7831, Gallego-Posada, Jose, Pol, Elise van der, Jong, Edwin D de and Gross, Roderich (2017) GANGs: Generative Adversarial Network Games. . (Unpublished)

Savani, Rahul ORCID: 0000-0003-1262-7831 and von Stengel, Bernhard (2015) Game Theory Explorer: software for the applied game theorist. COMPUTATIONAL MANAGEMENT SCIENCE, 12 (1). pp. 5-33.

Castellini, Jacopo (2022) Improved Representations for Cooperative Multi-Agent Reinforcement Learning. Doctor of Philosophy thesis, University of Liverpool.

Deligkas, Argyrios, Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2016) Inapproximability Results for Approximate Nash Equilibria. .

Deligkas, Argyrios, Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2016) Inapproximability Results for Approximate Nash Equilibria. In: WINE 2016: The 12th Conference on Web and Internet Economics.

Deligkas, Argyrios, Fearnley, JS and Savani, Rahul ORCID: 0000-0003-1262-7831 (2018) Inapproximability results for constrained approximate Nash equilibria. Information and Computation, 262 (1). pp. 40-56.

Guo, Mingyu, Deligkas, Argyrios and Savani, Rahul ORCID: 0000-0003-1262-7831 (2014) Increasing VCG Revenue by Decreasing the Quality of Items. In: AAAI Conference on Artificial Intelligence Twenty-Eighth AAAI Conference on Artificial Intelligence, Québec City, Québec, Canada.

Palmer, Gregory (2020) Independent Learning Approaches: Overcoming Multi-Agent Learning Pathologies In Team-Games. PhD thesis, University of Liverpool.

Palmer, Gregory, Tuyls, Karl, Bloembergen, Daan and Savani, Rahul ORCID: 0000-0003-1262-7831 (2018) Lenient Multi-Agent Deep Reinforcement Learning. .

Palmer, Gregory, Tuyls, Karl, Bloembergen, Daan and Savani, Rahul ORCID: 0000-0003-1262-7831 (2018) Lenient Multi-Agent Deep Reinforcement Learning. In: International Conference on Autonomous Agents and Multiagent Systems (AAMAS), Stockholm.

Butterworth, James ORCID: 0000-0002-6446-6577 (2023) Manifolds & Memory: Improving the Search Speed of Evolutionary Algorithms. PhD thesis, University of Liverpool.

Singleton, Alex, Alexiou, Alexandros ORCID: 0000-0003-3533-3238 and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Mapping the geodemographics of digital inequality in Great Britain: An integration of machine learning into small area estimation. Computers, Environment and Urban Systems, 82. p. 101486.

Spooner, Thomas ORCID: 0000-0002-1732-7582, Fearnley, John, Savani, Rahul ORCID: 0000-0003-1262-7831 and Koukorinis, Andreas (2018) Market Making via Reinforcement Learning. .

Spooner, Thomas ORCID: 0000-0002-1732-7582, Fearnley, John, Savani, Rahul ORCID: 0000-0003-1262-7831 and Koukorinis, Andreas (2018) Market Making via Reinforcement Learning. In: AAMAS 2018.

Jerome, Joseph ORCID: 0000-0002-8312-0053, Sánchez-Betancourt, Leandro ORCID: 0000-0001-6447-7105, Savani, Rahul ORCID: 0000-0003-1262-7831 and Herdegen, Martin ORCID: 0000-0002-2092-7167 (2023) Mbt-gym: Reinforcement learning for model-based limit order book trading. In: ICAIF '23: 4th ACM International Conference on AI in Finance.

Klima, R (2019) Multi-Agent Learning for Security and Sustainability. PhD thesis, University of Liverpool.

Palmer, Gregory, Savani, Rahul ORCID: 0000-0003-1262-7831 and Tuyls, Karl (2019) Negative Update Intervals in Deep Multi-Agent Reinforcement Learning. .

Fearnley, John, Ibsen-Jensen, Rasmus and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) One-Clock Priced Timed Games are PSPACE-hard. LICS '20: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science, abs/20. pp. 397-409.

Fearnley, John, Ibsen-Jensen, Rasmus and Savani, Rahul (2020) One-Clock Priced Timed Games are PSPACE-hard. .

Anbalagan, Yogesh, Norin, Sergey, Savani, Rahul ORCID: 0000-0003-1262-7831 and Vetta, Adrian (2013) Polylogarithmic Supports are required for Approximate Well-Supported Nash Equilibria below 2/3. In: The 9th Conference on Web and Internet Economics (WINE), 2013-12-11 - 2013-12-14, Harvard.

Gairing, Martin and Savani, Rahul ORCID: 0000-0003-1262-7831 (2019) Preface to the Special Issue on Algorithmic Game Theory. THEORY OF COMPUTING SYSTEMS, 63 (1). pp. 2-3.

Fearnley, John, Gairing, Martin, Mnich, Matthias and Savani, Rahul ORCID: 0000-0003-1262-7831 (2021) REACHABILITY SWITCHING GAMES. In: ICALP 2018.

Fearnley, John, Gairing, Martin, Mnich, Matthias and Savani, Rahul ORCID: 0000-0003-1262-7831 (2017) Reachability Switching Games. .

Fletcher, Amelia, Ormosi, Peter L and Savani, Rahul ORCID: 0000-0003-1262-7831 (2023) Recommender Systems and Supplier Competition on Platforms. Journal of Competition Law and Economics, 19 (3). pp. 397-426.

Zamaraeva, Elena, Collins, Christopher M ORCID: 0000-0002-0101-4426, Antypov, Dmytro ORCID: 0000-0003-1893-7785, Gusev, Vladimir V, Savani, Rahul ORCID: 0000-0003-1262-7831, Dyer, Matthew Stephen ORCID: 0000-0002-4923-3003, Darling, George ORCID: 0000-0001-9329-9993, Potapov, Igor, Rosseinsky, Matthew J ORCID: 0000-0002-1910-2483 and Spirakis, Paul G ORCID: 0000-0001-5396-3749 (2023) Reinforcement Learning in Crystal Structure Prediction. Digital Discovery, 2 (6). pp. 1831-1840.

Castellini, Jacopo, Oliehoek, Frans A ORCID: 0000-0003-4372-5055, Savani, Rahul and Whiteson, Shimon (2019) The Representational Capacity of Action-Value Networks for Multi-Agent Reinforcement Learning. [Internet Publication]

Spooner, Thomas ORCID: 0000-0002-1732-7582 and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Robust Market Making via Adversarial Reinforcement Learning. .

Klima, Richard, Bloembergen, Daan, Savani, Rahul ORCID: 0000-0003-1262-7831, Tuyls, Karl, Hennes, Daniel and Izzo, Dario (2016) Space Debris Removal: A Game Theoretic Analysis. In: European Conference on Artificial Intelligence (ECAI), 2016-8-29 - 2016-9-2, The Hague, NL.

Klima, Richard, Bloembergen, Daan, Savani, Rahul ORCID: 0000-0003-1262-7831, Tuyls, Karl, Wittig, Alexander, Sapera, Andrei and Izzo, Dario (2018) Space Debris Removal: Learning to Cooperate and the Price of Anarchy. Frontiers in Robotics and AI, 5 (JUN). 54-.

Aziz, Haris, Lachish, Oded, Paterson, Mike and Savani, Rahul ORCID: 0000-0003-1262-7831 (2009) Spanning connectivity games. [Report] (Unpublished)

Tuyls, Karl, Perolat, Julien, Lanctot, Marc, Ostrovski, Georg, Savani, Rahul ORCID: 0000-0003-1262-7831, Leibo, Joel, Ord, Toby, Graepel, Thore and Legg, Shane (2018) Symmetric Decomposition of Asymmetric Games. Scientific Reports, 8 (1). 1015-.

Chalkidis, Nestoras and Savani, Rahul ORCID: 0000-0003-1262-7831 (2021) Trading via Selective Classification. .

Deligkas, Argyrios, Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Tree Polymatrix Games Are PPAD-Hard. In: ICALP 2020.

Deligkas, Argyrios, Fearnley, John and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Tree Polymatrix Games are PPAD-hard. In: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020), 2020-7-8 - 2020-7-12, Beijing.

Fearnley, JS, Gordon, Spencer, Mehta, Ruta and Savani, Rahul ORCID: 0000-0003-1262-7831 (2020) Unique End of Potential Line. Journal of Computer and System Sciences, 114. pp. 1-35.

Fearnley, John, Gordon, Spencer, Mehta, Ruta and Savani, Rahul ORCID: 0000-0003-1262-7831 (2018) Unique End of Potential Line. .

Savani, Rahul ORCID: 0000-0003-1262-7831 and von Stengel, Bernhard (2016) Unit vector games. INTERNATIONAL JOURNAL OF ECONOMIC THEORY, 12 (1). pp. 7-27.

Palmer, Gregory, Green, Mark ORCID: 0000-0002-0942-6628, Boyland, Emma ORCID: 0000-0001-8384-4994, Vasconcelos, Yales Stefano Rios, Savani, Rahul ORCID: 0000-0003-1262-7831 and Singleton, Alex (2021) A deep learning approach to identify unhealthy advertisements in street view images. SCIENTIFIC REPORTS, 11 (1). 4884-.