# Questions tagged [search-and-matching]

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### What is the implication of perfectly reversible capital?

I am reading the lecture note in labor economics by Acemoglu and Autor. In the chapter of basic search model, they assume capital is perfectly reversible, and argue that "Perfect reversibility ...
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52 views

### Modeling job application process in labor market

I need to model the job application process by job seekers. Specifically a job seeker when looking for a job, comes across a job and then decides whether to apply for it or not. I want to model this ...
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### Differentiation of the value function in Burdett Mortensen (1998)

I'm currently making my way through Burdett and Mortensen's classic paper of on the job search. What should be an easy task of finding an expression for the reservation wage is made slightly more ...
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### What are the general charateristics of matching markets that make then different from regular markets?

I would like to know what exactly makes matching markets different from regular markets. If you could illustrate with examples to help me understand better, that would be nice. Thanks in advance.
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### Welfare function in General Capital model (Search and Matching)?

i'm working on a model from the Mortensen textbook: "Wage dispersion why are similar workers paid differently?". To be precise, i'm working on the model about general capital. In this case, capital is ...
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### Directed search with privately informed buyers and capacities

My question seems to be a basic one and there should be a rather well-known reference in the (IO or labor) search literature. I will upvote (and comment on) any relevant answer and I will accept an ...
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### McCall Search Model: Present value of lifetime income

In the Bellman for the search model, how is the present discounted value of future income equal to $\frac{w}{1-\beta}$? Sounds like a basic question but I just can't comprehend the math in my head, ...
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### Why must the wage barganing be derived at steady-state?

In wage bargaining theory, in the context of matching theory, firms and workers can negotiate a Nash equilibrium by maximizing a function of firms' and workers' surplus - with the purpose of allowing ...
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### Why is matching function increasing in arguments?

In matching theory, the matching function $m_t=m(u_t,v_t)$, where $m_t$ is the number of matches(new hires) between unemployed looking for work($u_t$) and vacancies($v_t$). This matching function is ...
74 views

### Price when both supply and demand have market power

I have an intermediate sector that operates using labor only. There is 1-1 pairs between firms and workers, with profits $$\pi = (Ap - w)\cdot 1$$ $p$ is the price, $A$ productivity, $w$ wage. ...
100 views

### Equilibrium value of $b$ (market tightness) in a search model

Consider the following one-shot version of a labour market matching model. Let the labour force be normalized at 1, who, because there is only one period, all start out as unemployed. There is a very ...
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### Showing that the elasticity of arrival rate for workers wrt $\theta$ is between $0$ and $1$

Let $L=E+U$ where $L$ is labour force, $E$ is number of employed, and $U$ is unemployed people. Let $u = \frac{U}{L}$ and $v = \frac{V}{L}$. Given $m(u,v)$ as a matching function that determines ...
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### Matching in Blanchard-Diamond (1994)

Setup Blanchard-Diamond (1994) have a model where each unemployed has a single ball (application) that she tosses into urns (vacancies). With probability $a$ the application lands in the urn - the ...
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### Job-finding rate in an urn-ball model with types

Setup Say you have two types of workers, high and low. The share of low-types among the unemployed population is $P$. I want to find the job-finding rate for these types. Matching Matching is ...
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### Search model with firm decision

I am wondering if there is any work in search models that discusses firm behaviors. Most common search models that I am familiar with talk about the job seeker's threshold rule. Is there any model ...
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### Proof that the diff-in-diff (wrt sample size) of the expectation of a first-order statistic is positive (Stigler 1961)

I'm trying to prove a claim made in Stigler (1961), "The Economics of Information." This claim has to do with showing that the marginal benefit of making an additional search (e.g., searching an ...
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### How do you determine the strict core in a matching game?

So I have a game in which home owners prefer certain other's homes. The owners are A, B, C, and D with a, b, c, and d referring to their respective homes. They each prefer homes according to the ...
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### Amplification Effects: Negative Denominator

Let $0 < \rho < 1$ be the discount rate, $V$ some option value, and $F$ some fundamental. $$\rho V = \beta V + F$$ You have access to some option value $V$ that will always deliver you some ...