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Q-learning agents in a Cournot oligopoly model

Citations

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Cited by:

  1. Herings, P.J.J. & Michaelides, Philippos & Seel, Christian, 2026. "Algorithmic Learning in Local and Global Public Goods Games," Other publications TiSEM 39b1b9f1-e6d6-4b83-9330-b, Tilburg University, School of Economics and Management.
  2. Dolgopolov, Arthur, 2024. "Reinforcement learning in a prisoner's dilemma," Games and Economic Behavior, Elsevier, vol. 144(C), pages 84-103.
  3. Connor Douglas & Foster Provost & Arun Sundararajan, 2024. "The Illusion of Collusion," Papers 2411.16574, arXiv.org, revised Mar 2026.
  4. Inkoo Cho & Noah Williams, 2024. "Collusive Outcomes Without Collusion," Papers 2403.07177, arXiv.org.
  5. Werner, Tobias, 2021. "Algorithmic and human collusion," DICE Discussion Papers 372, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  6. Kshitija Taywade & Brent Harrison & Judy Goldsmith, 2022. "Using Non-Stationary Bandits for Learning in Repeated Cournot Games with Non-Stationary Demand," Papers 2201.00486, arXiv.org.
  7. David M. Newbery & Thomas Greve, 2013. "The Strategic Robustness of Mark-up Equilibria," Cambridge Working Papers in Economics 1341, Faculty of Economics, University of Cambridge.
  8. Bernhard Kasberger & Simon Martin & Hans-Theo Normann & Tobias Werner, 2024. "Algorithmic Cooperation," CESifo Working Paper Series 11124, CESifo.
  9. Junyi Xu, 2021. "Reinforcement Learning in a Cournot Oligopoly Model," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1001-1024, December.
  10. Stephanie Assad & Robert Clark & Daniel Ershov & Lei Xu, 2020. "Algorithmic Pricing and Competition: Empirical Evidence from the German Retail Gasoline Market," CESifo Working Paper Series 8521, CESifo.
  11. César García-Díaz & Gábor Péli & Arjen van Witteloostuijn, 2020. "The coevolution of the firm and the product attribute space," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-25, June.
  12. Arthur Charpentier & Romuald Elie & Carl Remlinger, 2020. "Reinforcement Learning in Economics and Finance," Papers 2003.10014, arXiv.org.
  13. Hangcheng Zhao & Ron Berman, 2025. "Algorithmic Collusion of Pricing and Advertising on E-commerce Platforms," Papers 2508.08325, arXiv.org, revised Oct 2025.
  14. Zhang Xu & Mingsheng Zhang & Wei Zhao, 2024. "Artificial Intelligence, Data and Competition," Papers 2403.06150, arXiv.org, revised Dec 2025.
  15. Luigi Foscari & Emanuele Guidotti & Nicol`o Cesa-Bianchi & Tatjana Chavdarova & Alfio Ferrara, 2025. "The Invisible Handshake: Tacit Collusion between Adaptive Market Agents," Papers 2510.15995, arXiv.org, revised Feb 2026.
  16. Jeschonneck, Malte, 2021. "Collusion among autonomous pricing algorithms utilizing function approximation methods," DICE Discussion Papers 370, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  17. Juan Manuel Sánchez-Cartas & Alberto Tejero & Gonzalo León, 2021. "Algorithmic Pricing and Price Gouging. Consequences of High-Impact, Low Probability Events," Sustainability, MDPI, vol. 13(5), pages 1-14, February.
  18. Bigoni, Maria & Fort, Margherita, 2013. "Information and learning in oligopoly: An experiment," Games and Economic Behavior, Elsevier, vol. 81(C), pages 192-214.
  19. Viehmann, Johannes & Lorenczik, Stefan & Malischek, Raimund, 2021. "Multi-unit multiple bid auctions in balancing markets: An agent-based Q-learning approach," Energy Economics, Elsevier, vol. 93(C).
  20. Xingchen Xu & Stephanie Lee & Yong Tan, 2023. "Algorithmic Collusion or Competition: the Role of Platforms' Recommender Systems," Papers 2309.14548, arXiv.org, revised Dec 2024.
  21. Joseph E. Harrington, 2022. "The Effect of Outsourcing Pricing Algorithms on Market Competition," Management Science, INFORMS, vol. 68(9), pages 6889-6906, September.
  22. Steven Kimbrough & Frederic Murphy, 2009. "Learning to Collude Tacitly on Production Levels by Oligopolistic Agents," Computational Economics, Springer;Society for Computational Economics, vol. 33(1), pages 47-78, February.
  23. Solferino, Nazaria & Solferino, Viviana & Taurino, Serena Fiona, 2015. "The economic analysis of a Q-learning model of Cooperation with punishment," MPRA Paper 66605, University Library of Munich, Germany.
  24. Soria, Jorge & Moya, Jorge & Mohazab, Amin, 2023. "Optimal mining in proof-of-work blockchain protocols," Finance Research Letters, Elsevier, vol. 53(C).
  25. Tong Zhang & B. Wade Brorsen, 2010. "The Long-Run and Short-Run Impact of Captive Supplies on the Spot Market Price: An Agent-Based Artificial Market," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 92(4), pages 1181-1194.
  26. Bingyan Han, 2022. "Can maker-taker fees prevent algorithmic cooperation in market making?," Papers 2211.00496, arXiv.org.
  27. Timo Klein, 2018. "Autonomous Algorithmic Collusion: Q-Learning Under Sequantial Pricing," Tinbergen Institute Discussion Papers 18-056/VII, Tinbergen Institute, revised 01 Nov 2020.
  28. Justin P. Johnson & Andrew Rhodes & Matthijs Wildenbeest, 2023. "Platform Design When Sellers Use Pricing Algorithms," Econometrica, Econometric Society, vol. 91(5), pages 1841-1879, September.
  29. Nazaria Solferino & Viviana Solferino & Serena F. Taurino, 2018. "The economics analysis of a Q-learning model of cooperation with punishment and risk taking preferences," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 601-613, October.
  30. Calvano, Emilio & Calzolari, Giacomo & Denicoló, Vincenzo & Pastorello, Sergio, 2021. "Algorithmic collusion with imperfect monitoring," International Journal of Industrial Organization, Elsevier, vol. 79(C).
  31. Johannes Viehmann & Stefan Lorenczik & Raimund Malischek, 2018. "Multi-unit multiple bid auctions in balancing markets: an agent-based Q-learning approach," EWI Working Papers 2018-3, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
  32. Cesare Carissimo & Fryderyk Falniowski & Siavash Rahimi & Heinrich Nax, 2025. "Algorithmic Collusion is Algorithm Orchestration," Papers 2508.14766, arXiv.org, revised Dec 2025.
  33. Axel Gautier & Ashwin Ittoo & Pieter Cleynenbreugel, 2020. "AI algorithms, price discrimination and collusion: a technological, economic and legal perspective," European Journal of Law and Economics, Springer, vol. 50(3), pages 405-435, December.
  34. Lucila Porto, 2022. "Q-Learning algorithms in a Hotelling model," Asociación Argentina de Economía Política: Working Papers 4587, Asociación Argentina de Economía Política.
  35. Daniele Condorelli & Massimiliano Furlan, 2023. "Cheap Talking Algorithms," Papers 2310.07867, arXiv.org, revised Oct 2024.
  36. Bingyan Han, 2022. "Cooperation between Independent Market Makers," Papers 2206.05410, arXiv.org.
  37. Tharakunnel, Kurian & Bhattacharyya, Siddhartha, 2009. "Single-leader-multiple-follower games with boundedly rational agents," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1593-1603, August.
  38. Hanaki, Nobuyuki & Ishikawa, Ryuichiro & Akiyama, Eizo, 2009. "Learning games," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1739-1756, October.
  39. Werner, Tobias, 2023. "Algorithmic and Human Collusion," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277573, Verein für Socialpolitik / German Economic Association.
  40. Emilio Calvano & Giacomo Calzolari & Vincenzo Denicolò & Sergio Pastorello, 2019. "Algorithmic Pricing What Implications for Competition Policy?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 55(1), pages 155-171, August.
  41. Calvano, Emilio & Calzolari, Giacomo & Denicolò, Vincenzo & Pastorello, Sergio, 2023. "Algorithmic collusion: Genuine or spurious?," International Journal of Industrial Organization, Elsevier, vol. 90(C).
  42. Tong Zhang & B. Brorsen, 2011. "Oligopoly firms with quantity-price strategic decisions," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 157-170, November.
  43. Emilio Calvano & Giacomo Calzolari & Vincenzo Denicolò & Sergio Pastorello, 2020. "Artificial Intelligence, Algorithmic Pricing, and Collusion," American Economic Review, American Economic Association, vol. 110(10), pages 3267-3297, October.
  44. Fourberg, Niklas & Marques-Magalhaes, Katrin & Wiewiorra, Lukas, 2022. "They are among us: Pricing behavior of algorithms in the field," WIK Working Papers 6, WIK Wissenschaftliches Institut für Infrastruktur und Kommunikationsdienste GmbH, Bad Honnef.
  45. Yaroslav Rosokha & Kenneth Younge, 2020. "Motivating Innovation: The Effect of Loss Aversion on the Willingness to Persist," The Review of Economics and Statistics, MIT Press, vol. 102(3), pages 569-582, July.
  46. Igor Sadoune & Marcelin Joanis & Andrea Lodi, 2025. "Implementing a Hierarchical Deep Learning Approach for Simulating Multilevel Auction Data," Computational Economics, Springer;Society for Computational Economics, vol. 65(4), pages 2029-2056, April.
  47. Arthur Charpentier & Romuald Élie & Carl Remlinger, 2023. "Reinforcement Learning in Economics and Finance," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 425-462, June.
  48. Bingyan Han, 2021. "Algorithmic pricing with independent learners and relative experience replay," Papers 2102.09139, arXiv.org, revised Oct 2025.
  49. Fourberg, Niklas & Marques Magalhaes, Katrin & Wiewiorra, Lukas, 2023. "They Are Among Us: Pricing Behavior of Algorithms in the Field," 32nd European Regional ITS Conference, Madrid 2023: Realising the digital decade in the European Union – Easier said than done? 277958, International Telecommunications Society (ITS).
  50. Hans-Theo Normann & Martin Sternberg, 2021. "Human-Algorithm Interaction: Algorithmic Pricing in Hybrid Laboratory Markets," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2021_11, Max Planck Institute for Behavioral Economics, revised 13 Apr 2022.
  51. Martin Bichler & Julius Durmann & Matthias Oberlechner, 2025. "Algorithmic Pricing and Algorithmic Collusion," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 67(6), pages 971-979, December.
  52. Zhang Xu & Wei Zhao, 2024. "On Mechanism Underlying Algorithmic Collusion," Papers 2409.01147, arXiv.org.
  53. Kshitija Taywade & Brent Harrison & Adib Bagh, 2022. "Modelling Cournot Games as Multi-agent Multi-armed Bandits," Papers 2201.01182, arXiv.org.
  54. Denis Claude & Mabel Tidball, 2026. "Revisiting Stackelberg in His Own Light: Conjecture Learning in Leader-Follower Games ," Post-Print hal-05571970, HAL.
  55. Ryan Y. Lin & Siddhartha Ojha & Kevin Cai & Maxwell F. Chen, 2024. "Strategic Collusion of LLM Agents: Market Division in Multi-Commodity Competitions," Papers 2410.00031, arXiv.org, revised May 2025.
  56. J. Manuel Sanchez-Cartas & Evangelos Katsamakas, 2025. "AI pricing algorithms under platform competition," Electronic Commerce Research, Springer, vol. 25(6), pages 4343-4370, December.
  57. Segismundo S. Izquierdo & Luis R. Izquierdo, 2015. "The “Win-Continue, Lose-Reverse” Rule In Oligopolies: Robustness Of Collusive Outcomes," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 18(05n06), pages 1-23, August.
  58. Epivent, Andréa & Lambin, Xavier, 2024. "On algorithmic collusion and reward–punishment schemes," Economics Letters, Elsevier, vol. 237(C).
  59. Abada, Ibrahim & Lambin, Xavier & Tchakarov, Nikolay, 2024. "Collusion by mistake: Does algorithmic sophistication drive supra-competitive profits?," European Journal of Operational Research, Elsevier, vol. 318(3), pages 927-953.
  60. Harrington, Joseph E., 2024. "The effect of demand variability on the adoption and design of a third party’s pricing algorithm," Economics Letters, Elsevier, vol. 244(C).
  61. Frédéric Marty, 2023. "Deciphering Algorithmic Collusion: Insights from Bandit Algorithms and Implications for Antitrust Enforcement," Working Papers halshs-04363106, HAL.
  62. Lambin, Xavier & Raizonville, Adrien, 2025. "From black box to glass box: algorithmic explainability as a strategic decision," Information Economics and Policy, Elsevier, vol. 71(C).
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