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Expected Utility: An Incomplete Introduction to Choice Axioms

Article Quant Q&A · Author: phạm Dũng
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Summary

The document offers a very brief introduction to expected utility, using three possible events and assigning each a utility value to represent how desirable its outcome is. Winning a lottery is presented as an example of a high-utility outcome, while an injury is presented as a low-utility outcome. It then names independence of choice as one axiom, but provides no explanation of how that axiom works or what the other axioms are.

The material is therefore too incomplete to teach the expected-utility framework or show how it can guide trading decisions under uncertainty. It gives no equations, examples comparing lotteries, evidence, or discussion of limitations beyond its fragmentary nature. Readers would need a fuller treatment to understand the axioms or apply utility theory to risk preferences and portfolio choices.

Key ideas

  • Expected utility assigns numerical values to outcomes according to their desirability.
  • The example contrasts a lottery win with an injury to illustrate high and low utility.
  • Independence of choice is named, but the document does not explain the axiom.
  • The fragment does not provide enough information to apply expected utility to decisions.

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# Explain Four Basic Axioms of Maximising Expected Utility


# Explain Four Basic Axioms of Maximising Expected Utility












I begin learn PRM , Someone help me understand Four Basic Axioms of Maximising Expected Utility most intuitive way .Thank you very much

## Answer by David C (score 1)

https://quant.stackexchange.com/a/27807

Here's a try/start:

Let $A,B$, and $C$ be three possible events, and let $U(event)$ be the utility derived from each event. For example, if event $A$ corresponds to the event of winning the lottery, then $U(A)$ will presumably be a very large value. By contrast, if event $C$ corresponds to the event of falling off a ladder and breaking an arm, $U(C)$ will likely be a very small value.





- Independence of Choice: (?)

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.