<p>Are there any applications of number theory and abstract algebra in economics? An economist had told me that number theory had an application to a theorem in economics, however he did not remember what it is and my number theory professor in undergrad had also mentioned it but I can't find it. I know combinatorics and graph theory have applications in economics in regards to social networks. I am very curious about it</p>

CC BY-SA 4.0
2018-09-20T16:02:31.353Z
Fixed Points and Economic Equilibria by Ken Urai is a good book to know more about the abstract mathematical ideas behind economic theory. The author has talked a lot about Homology in this book.
superhulk
CC BY-SA 4.0
2018-09-21T20:51:19.660Z
I doubt you will find much use of number theory in economics. For abstract algebra, see for example [this](https://link.springer.com/article/10.1007%2FBF03026639).
Michael Greinecker
<reference-request><mathematical-economics>
Applications of Pure Mathematics in Economics
dhuert4
# Applications of Pure Mathematics in Economics

(Asked by: username_0 on 2018-09-20)

Are there any applications of number theory and abstract algebra in economics? An economist had told me that number theory had an application to a theorem in economics, however he did not remember what it is and my number theory professor in undergrad had also mentioned it but I can't find it. I know combinatorics and graph theory have applications in economics in regards to social networks. I am very curious about it

**Tags:** reference-request, mathematical-economics
> **Comments:**
> **username_1**: Fixed Points and Economic Equilibria by Ken Urai is a good book to know more about the abstract mathematical ideas behind economic theory. The author has talked a lot about Homology in this book.  
> **username_2**: I doubt you will find much use of number theory in economics. For abstract algebra, see for example [this](https://link.springer.com/article/10.1007%2FBF03026639).  

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