The Spoils of Algorithmic Collusion: Profit Allocation Among Asymmetric Firms

Fuente: arXiv
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Autores principales: Martin, Simon, Normann, Hans-Theo, Püplichhuisen, Paul, Werner, Tobias
Formato: Preprint
Publicado: 2025
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author Martin, Simon
Normann, Hans-Theo
Püplichhuisen, Paul
Werner, Tobias
author_facet Martin, Simon
Normann, Hans-Theo
Püplichhuisen, Paul
Werner, Tobias
contents We study the propensity of independent algorithms to collude in repeated Cournot duopoly games. Specifically, we investigate the predictive power of different oligopoly and bargaining solutions regarding the effect of asymmetry between firms. We find that both consumers and firms can benefit from asymmetry. Algorithms produce more competitive outcomes when firms are symmetric, but less when they are very asymmetric. Although the static Nash equilibrium underestimates the effect on total quantity and overestimates the effect on profits, it delivers surprisingly accurate predictions in terms of total welfare. The best description of our results is provided by the equal relative gains solution. In particular, we find algorithms to agree on profits that are on or close to the Pareto frontier for all degrees of asymmetry. Our results suggest that the common belief that symmetric industries are more prone to collusion may no longer hold when algorithms increasingly drive managerial decisions.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07178
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Spoils of Algorithmic Collusion: Profit Allocation Among Asymmetric Firms
Martin, Simon
Normann, Hans-Theo
Püplichhuisen, Paul
Werner, Tobias
General Economics
Economics
Artificial Intelligence
We study the propensity of independent algorithms to collude in repeated Cournot duopoly games. Specifically, we investigate the predictive power of different oligopoly and bargaining solutions regarding the effect of asymmetry between firms. We find that both consumers and firms can benefit from asymmetry. Algorithms produce more competitive outcomes when firms are symmetric, but less when they are very asymmetric. Although the static Nash equilibrium underestimates the effect on total quantity and overestimates the effect on profits, it delivers surprisingly accurate predictions in terms of total welfare. The best description of our results is provided by the equal relative gains solution. In particular, we find algorithms to agree on profits that are on or close to the Pareto frontier for all degrees of asymmetry. Our results suggest that the common belief that symmetric industries are more prone to collusion may no longer hold when algorithms increasingly drive managerial decisions.
title The Spoils of Algorithmic Collusion: Profit Allocation Among Asymmetric Firms
topic General Economics
Economics
Artificial Intelligence
url https://arxiv.org/abs/2501.07178