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How did Arrow and Debreu prove the First Fundamental Theorem of Welfare Economics?
Arrow and Debreu proved a truly foundational theorem in Economics in their joint 1954 paper.
Jul 12
•
Francisco Nunes
10
2
June 2026
How Nash proved the existence of Nash Equilibrium in mixed strategies
In just one page, Nash proved one of the most important results in Game Theory
Jun 30
•
Francisco Nunes
11
4
No, rent control won’t solve the housing problem. What can we do?
While rent control is a popular policy among voters, public policy must be judged by its results, not by its intentions.
Jun 29
•
Francisco Nunes
5
1
The perfect system can’t exist: Arrow’s Impossibility Theorem and similar results
Is democracy a perfect system? Can a ranked voting system satisfy all reasonable fairness rules? Arrow mathematically proved that the answer to both…
Jun 27
•
Francisco Nunes
10
2
6
Monotone Comparative Statics: Topkis’ and Milgrom & Shannon’s Theorems
Topkis’ Theorem is one of the most useful tools to study complementarity with non-differentiable functions. Milgrom and Shannon found the minimal…
Jun 22
•
Francisco Nunes
4
2
2
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