Learning to Charge More: A Theoretical Study of Collusion by Q-Learning Agents
Cristian Chica, Yinglong Guo and Gilad Lerman
Submited.
PDF (2025)
In the setting of infinite repeated games, when the game admits both a one stage Nash equilibrium price and a collusive-enabling price, and when the Q-function satisfies certain inequalities at the end of experimentation, firms learn to consistently charge supracompetitive prices.
We introduce a new class of one-memory subgame perfect equilibria (SPEs) and provide conditions under which learned behavior is supported by naive collusion, grim trigger policies, or increasing strategies.
Naive collusion does not constitute an SPE unless the collusive-enabling price is a one-stage Nash equilibrium, whereas grim trigger policies can.
Competition and Collusion in Two-Sided Markets with an Outside Option
Cristian Chica, Yinglong Guo and Gilad Lerman
R&R International Journal of Industrial Organization
PDF (2025)
Population heterogeneity matters for policy, as prices and consumer surplus may both increase or decrease with respect to an outside option or increased competition, depending on the relative size of user heterogeneity.
Platform collusion under small cross-side externalities resembles classic monopoly pricing: platforms extract more surplus at the expense of user welfare, resulting in higher prices and lower market participation compared to the competitive case.
Dynamic Competition for Customer Memberships
Cristian Chica, Julian Jimenez-Cardenas and Jorge Tamayo
Journal of Economics & Management Strategy, 34, 525-556 (2025).
https://doi.org/10.1111/jems.12605
PDF Working Paper (2024) Codes: Subgames.nb Limits.nb Old Draft: HBS Working Paper (2021)
If firms can choose between long- and short-term memberships, the latter are offered in equilibrium. This result is robust to various extensions, including switching coupons or discounts, naive consumers, sunk costs, and asymmetric differentiation parameters.
Firms are indifferent between long- and short-term memberships only when the customer's switching coupon or discount is high relative to the transportation cost.
Artificial Intellingence and Algorithmic Price Collusion in Two-sided Markets
Cristian Chica, Yinglong Guo and Gilad Lerman
(Submitted)
PDF (2024)
Increased network externalities significantly enhance collusion, suggesting AI algorithms exploit them to maximize profits.
Higher user heterogeneity or greater utility from outside options generally reduce collusion, while higher discount rates increase it. Tacit collusion remains feasible even at low discount rates.
Exclusive Dealing and Entry by Competing Two-Sided Platforms
Cristian Chica, Kenneth Chuk and Jorge Tamayo
R&R International Journal of Industrial Organization
HBS Working Paper (2021) New Draft Coming Soon
The introduction of non-exclusive contracts in addition to exclusive contracts softens the competition for content providers between platforms, as they have more tools to extract content providers’ surplus.
Cristian Chica, Fernando Morales, Carlos Osorio, Daniel Cabarcas (2025). A Big Data Based Method for Pass Rates Optimization in Mathematics University Lower Division Courses, SN COMPUT. SCI. 6, 330 (2025). https://doi.org/10.1007/s42979-025-03809-5
Mery Tamayo, Cristian Chica and Gustavo Canavire (2020). "Analysis of the offshoring network: Empirical evidence of the implied comparative advantage in offshoring", The Journal of International Trade & Economic Development.
(2020) Some Aspects of the Obstacle Problem, Universidad Nacional de Colombia Sede Medellín
Advisor: Carlos Augusto Vélez López. Co-Advisor: Luis Felipe Duque Álvarez.