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Combating Algorithmic Collusion: A Mechanism Design Approach

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  • Soumen Banerjee

Abstract

Attention has recently been focused on the possibility of artificially intelligent sellers on platforms colluding to limit output and raise prices. Such arrangements (cartels), however, feature an incentive for individual sellers to deviate to a lower price (cheat) to increase their own profits. Stabilizing such cartels therefore requires credible threats of punishments, such as price wars. In this paper, I propose a mechanism to destabilize cartels by protecting any cheaters from a price war by guaranteeing a stream of profits which is unaffected by arbitrary punishments, only if such punishments actually occur. Equilibrium analysis of the induced game predicts a reversion to repeated static Nash pricing. When implemented in a reinforcement learning framework, it provides substantial reductions in prices (reducing markups by 40% or more), without affecting product variety or requiring the platform to make any payments on path. This mechanism applies to both the sale of differentiated goods on platforms, and the sale of homogeneous goods through direct sales. The mechanism operates purely off-path, thereby inducing no welfare losses in practice, and does not depend on the choice of discount factors.

Suggested Citation

  • Soumen Banerjee, 2023. "Combating Algorithmic Collusion: A Mechanism Design Approach," Papers 2303.02576, arXiv.org, revised Jul 2023.
  • Handle: RePEc:arx:papers:2303.02576
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    1. Joseph E. Harrington & Andrzej Skrzypacz, 2011. "Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices," American Economic Review, American Economic Association, vol. 101(6), pages 2425-2449, October.
    2. Marx, Leslie M., 2017. "Defending against potential collusion by your suppliers—26th Colin Clark Memorial Lecture," Economic Analysis and Policy, Elsevier, vol. 53(C), pages 123-128.
    3. 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.
    4. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    5. Dana, James D., 2012. "Buyer groups as strategic commitments," Games and Economic Behavior, Elsevier, vol. 74(2), pages 470-485.
    6. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    7. Johnson, Justin Pappas & Rhodes, Andrew & Wildenbeest, Matthijs, 2020. "Platform Design when Sellers Use Pricing Algorithms," TSE Working Papers 20-1146, Toulouse School of Economics (TSE).
    8. Christopher M. Snyder, 1996. "A Dynamic Theory of Countervailing Power," RAND Journal of Economics, The RAND Corporation, vol. 27(4), pages 747-769, Winter.
    9. Simon Loertscher & Leslie M. Marx, 2022. "Incomplete Information Bargaining with Applications to Mergers, Investment, and Vertical Integration," American Economic Review, American Economic Association, vol. 112(2), pages 616-649, February.
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