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Algorithmic collusion with endogenous exploration

Bibliographic Data

ID19048416
AuthorsIvan Conjeaud (0009-0003-1544-574X, corresponding author)
Year2024
Publication date2024-01-01
Open AccessYes
TypePREPRINT
VenueSSRN Electronic Journal (REPOSITORY)
Journal identifiersISSN: 1556-5068 • E-ISSN: 1556-5068
PublisherRELX Group (Netherlands) (PUBLISHER • NL)
DOI10.2139/ssrn.4962504
OpenAlexW4403828262
LanguageEN
References cited26

I study a two-stage model in which two players simultaneously choose an exploration parameter for their Q-learning algorithms, which then repeatedly play a one-shot game chosen from a class of social dilemmas including the prisoner's dilemma, first and second price auctions as well as Bertrand competition with horizontally differentiated products. The players collect the limit average payoffs obtained by their algorithms. I show that in equilibrium, both players receive payoffs that are strictly higher than the payoffs received in the unique strict Nash equilibrium of the one-shot game. The case of the repeated prisoner's dilemma is then studied using extensive numerical simulations. Their results allow to gain insight on (i) the mechanism causing algorithmic collusion and (ii) the strategic role of exploration levels in the game. These findings have important implications for algorithmic collusion.

Business · Collusion · Economics · Industrial organization · Mathematical economics · Microeconomics · Auction Theory and Applications · Computability, Logic, AI Algorithms · Computer Science

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