Questions tagged [matching]

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4
votes
1answer
87 views

The core and competitive equilibrium

Can someone please explain why the concept of a core is equivalent to a competitive equilibrium? I am just writing a term paper for my matching theory class and I'm having a hard time following along ...
3
votes
0answers
111 views

Identification of a “modified” wage equation with firm-worker fixed effects

Consider the traditional AKM model where $$ Y_{it}=\alpha_i+\psi_{j(i,t)}+\epsilon_{it} $$ for $i=1,...,N$ (individual index), $t=1,...,T$ (time index), $j=1,...,J$ (firm index), and $j(i,t)$ is the ...
1
vote
0answers
14 views

Normalisations in the wage equation with firm-worker fixed effects

where $$ Y_{it}=\alpha_i+\psi_{j(i,t)}+\epsilon_{it} $$ for $i=1,...,N$ (individual index), $t=1,...,T$ (time index), $j=1,...,J$ (firm index), and $j(i,t)$ is the firm employing worker $i$ at time $t$...
3
votes
1answer
111 views

Identification of firm-worker fixed effect wage equation

Consider the traditional AKM model where $$ Y_{it}=X_{it}\beta+\psi_{j(i,t)}+\epsilon_{it} $$ for $i=1,...,N$ (individual index), $t=1,...,T$ (time index), $j=1,...,J$ (firm index), and $j(i,t)$ is ...
3
votes
0answers
35 views

The college admissions problem with externalities

In the classic College Admissions problem, there are $m$ colleges and $n$ students. The colleges have a preference over the students and the students have preferences over the colleges. The students ...
0
votes
1answer
25 views

Question regarding preferences in Gale and Shapley (1962)

Is it correct to say that preferences in the classic Gale and Shapley College Admissions problem are quasi-linear? Or is this something thats introduced later in the literature, vis a vis Shapley and ...
4
votes
1answer
76 views

Matching unpopularity

It seems that in economics, matching techniques (such as pscore, covariate matching, regression adjustment) are not as popular as selection-on-unobservables techniques (such as DiD, IV). Indeed I ...
2
votes
2answers
37 views

Multi-item multi-unit matching markets

This is a reference request. I'm interested in auction design problems of the following form: - Consider one seller and many buyers. - The seller seeks to sell multiple items where each item has ...
0
votes
0answers
11 views

How is matching theory used in context of Marriage market difference in terms of which is used in context of labour and housing market?

I am looking for an overview as most of the introduction to matching talks about the work done in the Marriage market, Job Matching which is axiomatic. Then while looking at Labour and housing market ...
1
vote
0answers
19 views

matching methods from multiple entities

Say I would like to investigate whether a particular product feature affects its sales. We would like to match products based on feature vs non-feature. But the sales also depends on the retailers who ...
1
vote
0answers
42 views

proof verification in George J. Mailath and Andrew Postlewaite (2001b)

I am reading George J. Mailath and Andrew Postlewaite (2001), and this is the lemma 1 in this paper. I don't understand the induction process in this proof. I think that we should use the fact that $...
1
vote
0answers
35 views

Does the concept of division of labor in matching markets work the same way as in regular markets?

According to Alvin Roth, a matching market is one where "you don't simply choose what you want, you have to also be chosen". With this in mind, I would like to pose the question about whether the ...
7
votes
2answers
2k views

Code finding all stable matchings in one-to-one problem

Do you know of any publicly available code in python or R (or any other free high level language) that returns all the stable matchings for any one-to-one matching problem? Note: This is related but ...
3
votes
2answers
68 views

Matching problem in continuous time

Let's split each period into $n$ intervals. There's a continuum $u$ of unemployed and $v$ of vacancies. During each interval, there is a total of $X/n$ job offers. That means that each unemployed gets ...
1
vote
0answers
167 views

oTree: How to have unequal groups sizes, with agents ocasionally sitting out rounds

I'm designing an experiment that investigates the result of different groups sizes on the outcomes of Nash Demand games. I already programmed this experiment once in zTree, where we then conducted ...
4
votes
2answers
905 views

Computing Boston and TTC in Python

This is somewhat of a follow up question to Available code for computing solutions to matching algorithms?. In the above question, I got great answers, but all of them were for ...