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The Economics of Large Language Models: Token Allocation, Fine-Tuning, and Optimal Pricing

Author

Listed:
  • Dirk Bergemann

    (Yale University [New Haven])

  • Alessandro Bonatti

    (MIT Sloan - Sloan School of Management - MIT - Massachusetts Institute of Technology)

  • Alexey Smolin

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - Comue de Toulouse - Communauté d'universités et établissements de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We develop an economic framework to analyze the optimal pricing and product design of Large Language Models (LLM). Our framework captures several key features of LLMs: variable operational costs of processing input and output tokens; the ability to customize models through fine-tuning; and high-dimensional user heterogeneity in terms of task requirements and error sensitivity. In our model, a monopolistic seller offers multiple versions of LLMs through a menu of products. The optimal pricing structure depends on whether token allocation across tasks is contractible and whether users face scale constraints. Users with similar aggregate value-scale characteristics choose similar levels of fine-tuning and token consumption. The optimal mechanism can be implemented through menus of two-part tariffs, with higher markups for more intensive users. Our results rationalize observed industry practices such as tiered pricing based on model customization and usage levels.

Suggested Citation

  • Dirk Bergemann & Alessandro Bonatti & Alexey Smolin, 2025. "The Economics of Large Language Models: Token Allocation, Fine-Tuning, and Optimal Pricing," Working Papers hal-05308118, HAL.
  • Handle: RePEc:hal:wpaper:hal-05308118
    Note: View the original document on HAL open archive server: https://hal.science/hal-05308118v1
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    Cited by:

    1. Simone Vannuccini, 2025. "Move fast and integrate things: The making of a European Industrial Policy for Artificial Intelligence," MIOIR Working Paper Series 2025-02, The Manchester Institute of Innovation Research (MIoIR), The University of Manchester.
    2. Gillian K. Hadfield & Andrew Koh, 2025. "An Economy of AI Agents," Papers 2509.01063, arXiv.org.
    3. Gillian K. Hadfield & Andrew Koh, 2025. "An Economy of AI Agents," NBER Chapters, in: The Economics of Transformative AI, National Bureau of Economic Research, Inc.
    4. Bergemann, Dirk & Bonatti, Alessandro & Wu, Nicholas, 2025. "Bidding with budgets: Data-driven bid algorithms in digital advertising," International Journal of Industrial Organization, Elsevier, vol. 102(C).

    More about this item

    Keywords

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    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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