6
votes
Matching unpopularity
It's not true that "no-one uses matching these days". It's a bit too definitive. For example, see Bilicka (2019) who recently published in the American Economic Review. I am sure it's ...
- 6,990
5
votes
The core and competitive equilibrium
tldr: The core is a very general concept that can be used in a vast amount of models. Applying it to the setting of a general equilibrium, you can show that every competitive equilibrium is in the ...
- 12.5k
4
votes
Accepted
Identification of firm-worker fixed effect wage equation
Think about a regression where you have two factors. Normally when you have a constant in the regression you would put one level of each factor to 0 as a reference level. Leaving out the constant you ...
- 3,798
3
votes
Accepted
Question regarding preferences in Gale and Shapley (1962)
Gale and Shapley barely make any assumptions about preferences. They don't need a functional form, simply an ordinal ranking of the options. Moreover, there are no transfers in this setting, only the ...
- 5,291
2
votes
Accepted
Multi-item multi-unit matching markets
I gave you an extremely vague lead in my other comment. Thinking about it a bit harder, I beieve you are right with having a look into the matching literature which I know a bit less.
Here is a ...
- 5,291
2
votes
Matching problem in continuous time
Yes, it is correct. You can (for instance) write a Taylor expansion:
\begin{align*}
[1-(1-\frac{x}{un})^n]^x & = [1-e^{n ln(1-\frac{x}{un})}]^x \\
& = [1-e^{n (-\frac{x}{un} + o(\frac{1}{n}))}]...
- 3,252
2
votes
Matching problem in continuous time
An alternative approximating approach you could use as as check might be to say there are $X$ job offers in total and $u$ unemployed.
So the probability that an individual does not get a particular ...
- 4,765
2
votes
Accepted
Code finding all stable matchings in one-to-one problem
The matchingMarkets package in the R software now implements two constraint encoding functions to find all stable matchings in the three most common matching problems:
...
- 138
2
votes
Gale-Shapley Follow-up Literature and General Questions
This is a very old question but I just want to add a few notes not covered in ml0105's great answer.
What sort of literature has been done building off of this? ... What sort of applications does the ...
- 170
2
votes
Can one have a two-sided matching market where one side is not restricted to being matched to just one of the other side?
Yes, this is called a "many to one" matching. Many to many matchings also exist.
Note that not all many to one matchings are a two-sided matching market. E.g., if I buy several oranges, that ...
- 29.6k
1
vote
Accepted
Relationship between two-sided and one-sided matching markets
Is there formal relationship between these two classes of problems or are they incomparable in general?
In two-sided matching markets, the welfare of both sides matter (we need to consider the ...
- 170
1
vote
Is matching combined with Diff-in-Diff a bad idea?
Is matching combined with Diff-in-Diff a bad idea?
No.
But, as with anything, it depends on the context. One point to consider is that you should match on pre-treatment characteristics, because ...
- 6,246
1
vote
Resourcess to study matching (game theory)
We used Optimal Transport Methods in Economics by Alfred Galichon in a graduate level class
- 1,898
1
vote
Accepted
Integration in Assignment/Match Model
The answer is extremely simple.
Because the definition of a positive assortative matching with continuous variable is that $1-G(g)=1-K(k(g)) \forall g$, where $G$ and $K$ are the cdf of $g$ and $\...
- 2,506
1
vote
Multi-item multi-unit matching markets
I can't suggest any research papers, but I can suggest one way of studying this problem: using an agent-based model. For example, this is a simple model of an auction on NetLogo: https://ccl....
- 56
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