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8 - Extensive-Form Games

from Part II - Game Solving and Regret Minimization

Published online by Cambridge University Press:  20 August 2026

Christian Kroer
Affiliation:
Columbia University, New York
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Summary

We introduce extensive-form games (EFGs), which are a class of games that model sequential interaction and stochastic outcomes. We introduce the sequence form for representing strategies of an EFG, and an optimal way to measure generalized distances on EFG strategy spaces via Bregman divergences and dilated distance-generating functions. Then, we introduce the counterfactual regret minimization framework for learning in EFGs. We then introduce the idea of search in EFGs. Finally, we show numerical performance of some of the self-play approaches to solving EFGs.

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  • Extensive-Form Games
  • Christian Kroer, Columbia University, New York
  • Book: Games, Markets, and Online Learning
  • Online publication: 20 August 2026
  • Chapter DOI: https://doi.org/10.1017/9781009711265.011
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  • Extensive-Form Games
  • Christian Kroer, Columbia University, New York
  • Book: Games, Markets, and Online Learning
  • Online publication: 20 August 2026
  • Chapter DOI: https://doi.org/10.1017/9781009711265.011
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Extensive-Form Games
  • Christian Kroer, Columbia University, New York
  • Book: Games, Markets, and Online Learning
  • Online publication: 20 August 2026
  • Chapter DOI: https://doi.org/10.1017/9781009711265.011
Available formats
×