# Questions tagged [search-and-matching]

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### Matching Theory: Search Time

Consider the standard Diamonds coconut economy. One could imagine that people who search longer, have a different likelihood of matching someone to trade with. Has there been something done akin this ...
215 views

### 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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### 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 ...
427 views

### 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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### Stable marriage problem with transferable utilities

I'm looking for a package or a code (preferably in R) that finds the solution to the stable marriage problem with transferable utilities (Shapley and Shubik 1971). Specifically, I'm looking for one or ...
131 views

### 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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### 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 ...
54 views

### Abraham (1987) Simple Job Market Matching Model

I have a question about a derivation in Abraham (1987)'s simple job market matching model (equations 3 through 7): She begins by writing down tautologies: J - V = L - U = E where J is the number of ...
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. ...
25 views

### Why does the following approximation hold?

In Essential Mathematics for Economic Analysis, on page 426 there is a model on gains from search where profit function is given as: $$\pi (t) = [p^0 -p(t)]x^0 -wt$$ $t$ is time, $p$ price, $x$ ...
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### Is it better to actively or passively offer to sell rare items at high prices?

In a massively multiplayer online video game, I have had the experience of attempting to sell a rare item on the game's forum, bumping the thread for a while before giving up for many months, and then ...
52 views

### 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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### Search and Matching model with 2 agents?

I would like to know if you know any model with Search and matching framework (Mortenses-Pisarides style) with 2 types of workers (like Ricardian and rule of thumb consumers for exemple) ? I would ...
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### DMP Search Model - Terminology

In the most basic Diamond-Mortensen-Pissarides (DMP) model we have the variable $V$ which represents the present discounted value of expected profits from a vacant job. The corresponding Bellman ...
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### 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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### 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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### 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 ...
96 views

### 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 ...
133 views

### 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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### 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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### Has there been an applications of search and matching theory in the Neoclassical Growth Model?

Specifically, I am looking for the standard neoclassical growth model, but the labour decision is based on either search or matching theory instead of a Walrasian labour mechanism.
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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.
In a simplified model in the search theory of unemployment, let $M=\mu{m(u,v)}$ be the matching function where $u$ and $v$ is unemployment and vacancies respectively. Given $m(u,v)$ has constant ...