<p>So I was watching this YouTube video and during it, he said that it is possible to create a bijection between a utility function and vector, which is then used to understand the ordinal ranking. I was wondering how this was done, as I don't think is possible according to linear algebra.</p>
<p>(In case you want to watch the video)
<a href="https://www.youtube.com/watch?v=v5ev-RAg7Xs&amp;ab_channel=PhysicsfortheBirds" rel="nofollow noreferrer">https://www.youtube.com/watch?v=v5ev-RAg7Xs&amp;ab_channel=PhysicsfortheBirds</a></p>
<p>Since my experience with economics is limited, this question may be poorly worded and I apologize for that.</p>
<p>Edit: Upon thinking about it further I think the answer is that we are not mapping the utility function to a vector, but the indifference curve to a vector. And so, this mapping should be possible according to linear algebra. Am I on the right track in my thinking?</p>

CC BY-SA 4.0
2024-06-23T23:21:54.043Z
Please make your question self-contained. It should stand without watching an external video.
Michael Greinecker
CC BY-SA 4.0
2024-06-24T00:00:42.203Z
@MichaelGreinecker I'm sorry, I just made it self-contained.
Banana Blitz Coding
<utility><preferences>
Mapping of Utility function to a single vector
Banana Blitz Coding
# Mapping of Utility function to a single vector

(Asked by: username_0 on 2024-06-23)

So I was watching this YouTube video and during it, he said that it is possible to create a bijection between a utility function and vector, which is then used to understand the ordinal ranking. I was wondering how this was done, as I don't think is possible according to linear algebra.

(In case you want to watch the video)
<https://www.youtube.com/watch?v=v5ev-RAg7Xs&ab_channel=PhysicsfortheBirds>

Since my experience with economics is limited, this question may be poorly worded and I apologize for that.

Edit: Upon thinking about it further I think the answer is that we are not mapping the utility function to a vector, but the indifference curve to a vector. And so, this mapping should be possible according to linear algebra. Am I on the right track in my thinking?

**Tags:** utility, preferences

> **Comments:**
> **username_1**: Please make your question self-contained. It should stand without watching an external video.  
> **username_0**: @MichaelGreinecker I'm sorry, I just made it self-contained.  

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## 0 answers

