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2 - Decision Problems

from Part I - Decision Problems

Published online by Cambridge University Press:  17 June 2025

Andrés Perea
Affiliation:
Universiteit Maastricht, Netherlands
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Summary

This chapter investigates one-person decision problems under uncertainty. The main building block is that of a conditional preference relation: a mapping that assigns to every belief about the states a preference relation over the decision maker’s choices. Under certain conditions, such a conditional preference relation admits an expected utility representation, which allows us to summarize the conditional preference relation by a finite utility matrix. Throughout the book it is assumed that the conditional preference relation indeed has an expected utility representation.

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From Decision Theory to Game Theory
Reasoning about the Decisions of Others
, pp. 11 - 80
Publisher: Cambridge University Press
Print publication year: 2025

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  • Decision Problems
  • Andrés Perea, Universiteit Maastricht, Netherlands
  • Book: From Decision Theory to Game Theory
  • Online publication: 17 June 2025
  • Chapter DOI: https://doi.org/10.1017/9781009522847.002
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  • Decision Problems
  • Andrés Perea, Universiteit Maastricht, Netherlands
  • Book: From Decision Theory to Game Theory
  • Online publication: 17 June 2025
  • Chapter DOI: https://doi.org/10.1017/9781009522847.002
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.

  • Decision Problems
  • Andrés Perea, Universiteit Maastricht, Netherlands
  • Book: From Decision Theory to Game Theory
  • Online publication: 17 June 2025
  • Chapter DOI: https://doi.org/10.1017/9781009522847.002
Available formats
×