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Difference between revisions of "Gauge Theory of Economics"
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'''Gauge theory of economics''' is the application of differential geometric methods to economic problems. This was first developed by [https://twitter.com/PiaMalaney Pia Malaney] and [[Eric Weinstein]] in Malaney's 1996 doctoral thesis [https://pdfs.semanticscholar.org/eb74/898337415912a12d5b6642e5c2e6950f637c.pdf The Index Number Problem: A Differential Geometric Approach]. | |||
'''Gauge theory of economics''' is the application of differential geometric methods to economic problems. This was first developed by [ | |||
== Examples == | == Examples == | ||
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* [https://pdfs.semanticscholar.org/eb74/898337415912a12d5b6642e5c2e6950f637c.pdf The Index Number Problem: A Differential Geometric Approach] by Pia Malaney. | * [https://pdfs.semanticscholar.org/eb74/898337415912a12d5b6642e5c2e6950f637c.pdf The Index Number Problem: A Differential Geometric Approach] by Pia Malaney. | ||
* [https://economics.uchicago.edu/sites/economics.uchicago.edu/files/Welfare_Chicago_Draft.pdf An Extension of Intertemporal Ordinal Welfare to Changing Tastes: Economics as Gauge Theory (Draft for University of Chicago Money and Banking Workshop. In preparation.) by Pia Malaney and Eric Weinstein] | * [https://economics.uchicago.edu/sites/economics.uchicago.edu/files/Welfare_Chicago_Draft.pdf An Extension of Intertemporal Ordinal Welfare to Changing Tastes: Economics as Gauge Theory (Draft for University of Chicago Money and Banking Workshop. In preparation.)] by Pia Malaney and Eric Weinstein | ||
* [https://economics.uchicago.edu/sites/economics.uchicago.edu/files/Chicago_Trade_Index_Draft.pdf Tracking Changes in Bilateral Trading Patterns in the Absence of PPP] by Eric Weinstein | |||
* [https://arxiv.org/abs/0902.4274 Time and symmetry in models of economic markets] by Lee Smolin. | * [https://arxiv.org/abs/0902.4274 Time and symmetry in models of economic markets] by Lee Smolin. | ||
* [https://arxiv.org/pdf/0908.3043.pdf Gauge Invariance, Geometry and Arbitrage] by Samuel Vázquez and Simone Farinelli | * [https://arxiv.org/pdf/0908.3043.pdf Gauge Invariance, Geometry and Arbitrage] by Samuel Vázquez and Simone Farinelli | ||
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! Outlet !! Title !! Link !! Air Date | ! Outlet !! Title !! Link !! Air Date | ||
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| University of Chicago Money and Banking Workshop || Gauge Theory, Inflation and Geometric Marginalism: Are our Inflation, Productivity and Trade Indicators All Off Because The Marginal Revolution Was Based on the Wrong Version of The differential Calculus? || [https://economics.uchicago.edu/sites/economics.uchicago.edu/files/Money%20%26%20Banking%20Abstract%20-%20Nov.%2012.pdf Abstract] || 2021-11-10 | |||
|- | |- | ||
| Fields Institute || [[Towards a Mathematics of New Economic Thinking for Reflexive Markets (Fields Institute Content)|Towards a Mathematics of New Economic Thinking for Reflexive Markets]] || [https://video-archive.fields.utoronto.ca/view/1837 Watch] || 2013-11-02 | | Fields Institute || [[Towards a Mathematics of New Economic Thinking for Reflexive Markets (Fields Institute Content)|Towards a Mathematics of New Economic Thinking for Reflexive Markets]] || [https://video-archive.fields.utoronto.ca/view/1837 Watch] || 2013-11-02 | ||
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=== Other Sources === | === Other Sources === | ||
* [https://slate.com/technology/2013/02/should-algebra-be-in-curriculum-why-math-protects-us-from-the-unscrupulous.html Op-Ed by mathematician Edward Frenkel] | |||
*[https://www.quora.com/How-does-gauge-theory-apply-to-economic-models-and-indices Eric talking about this on Quora] | *[https://www.quora.com/How-does-gauge-theory-apply-to-economic-models-and-indices Eric talking about this on Quora] | ||