Endogenous job destruction and job matching in cities

We propose a spatial search-matching model where both job creation and job destruction are endogenous. Workers are ex ante identical but not ex post since their jobs can be hit by a technological shock which decreases their productivity. They reside in a city, and commuting to the job center involves both pecuniary and time costs. As a result, workers with high wages are willing to live closer to jobs to save on time commuting costs. We show that, in equilibrium, there is a one-to-one correspondence between the productivity space and the urban location space. Workers with high productivities and wages reside close to jobs, have low per distance commuting costs and pay high land rents. We also show that higher per distance commuting costs and higher unemployment benefits lead to more job destruction.     

Technical skill bias as a response of firms to unemployment: A matching model with applicant ranking and endogenous skill requirements

This paper considers an economy with heterogeneous workers where identical firms optimally decide on the degree of complexity of jobs. Meetings are depicted by an urn-ball process where firms rank their applicants and pick the best one. We show that a general rise in unemployment induces an increase in the employment shares of high-skilled workers which, in turn, makes firms choose more complex jobs, leading then to a decrease in the output of low-skilled workers. The technical skill bias is therefore related to the usual explanations of unemployment. Next, we state that a decentralized equilibrium is efficient in terms of job complexity but inefficient in terms of job creation when firms internalize the usual congestion effect. We then extend the analysis to a dynamic model.     

Does City Structure Affect Job Search and Welfare?

We develop a model in which workers' search efficiency is negatively affected by access to jobs. Workers' location in a city is endogenous and reflects a trade-off between commuting costs and the surplus associated with search. Different configurations emerge in equilibrium; notably, the unemployed workers may reside far away (segregated city) or close to jobs (integrated city). We prove that there exists a unique and stable market equilibrium in which both land and labor markets are solved for simultaneously. We find that, despite inefficient search in the segregated city equilibrium, the welfare difference between the two equilibria is not so large due to differences in commuting costs. We also show how a social planner can manipulate wages by subsidizing/taxing the transport costs and can accordingly restore the efficiency.     

Workforce location and equilibrium unemployment in a duocentric economy with matching frictions

This article examines unemployment disparities and efficiency in a duocentric city where workers are non-uniformly distributed between the two job centers. We introduce commuting costs and search-matching frictions to deal with the spatial mismatch between workers and firms. In a decentralized economy job-seekers do not internalize a composition externality they impose on all the unemployed. With symmetric job centers, a change in the distribution of the workforce can lead to asymmetric equilibrium outcomes. We calibrate the model for Los Angeles and Chicago Metropolitan Statistical Areas. Simulations suggest that changes in the workforce distribution have non-negligible effects on unemployment rates, wages, and net output, but cannot be the unique explanation of a substantial mismatch problem.     

Equilibrium search unemployment with explicit spatial frictions

Assuming that job search efficiency decreases with distance to jobs, workers' location in a city depends on spatial elements such as commuting costs and land prices and on labour elements such as wages and the matching technology. In the absence of moving costs, we show that there exists a unique equilibrium in which employed and unemployed workers are perfectly segregated but move at each employment transition. We investigate the interactions between the land and the labour market equilibrium and show under which condition they are interdependent. When relocation costs become positive, a new zone appears in which both the employed and the unemployed co-exist and are not mobile. We demonstrate that the size of this area goes continuously to zero when moving costs vanish. Finally, we endogeneize search effort, show that it negatively depends on distance to jobs and that long and short-term unemployed workers coexist and locate in different areas of the city.     

Spatial mismatch: An equilibrium analysis

The spatial mismatch hypothesis, first stated by Kain (1968) argues that job decentralization in US cities has contributed to low incomes and high unemployment rates for black Americans. Decentralization relocates job sites to white suburban communities far from the CBD, and housing segregation prevents blacks from relocating their residences near the new workplaces. The purpose of the paper is to analyze an urban equilibrium with spatial mismatch. Despite the existence of a suburban employment center, blacks in the model are forced to live in the central zone they occupied in the original monocentric city, commuting across the white residential area to access suburban jobs. This ‘mismatch’ equilibrium is contrasted with an unrestricted equilibrium where blacks are free to locate wherever they choose.     

The commuting time paradox

We examine the conditions for the ‘commuting time paradox’ which states that the average commuting time does not vary between different periods. We develop therefore an equilibrium job search model with endogenously chosen commuting costs. Presuming wage bargaining between workers and firms, the optimally chosen maximum commuting costs jointly maximise the worker's and firm's payoffs. We demonstrate that when productivity levels increase over time, average commuting costs and average wages both increase, which affects the optimally chosen commuting time. We establish the conditions under which the paradox holds.     

Monopsonistic competition for the “best” workers

In this paper we analyse an economy where firms use labour as the only production factor, with constant return to scale. We suppose that jobs differ in their non-wage characteristics so each firm has monopsonistic power. In particular, we suppose that workers are heterogeneous with respect to their productivity. Then, each firm has incentives to offer higher wages in order to recruit the most productive workers. Competition among firms leads to a symmetric equilibrium wage, which is higher than the reservation wage, and to involuntary unemployment for the less productive workers, who are willing to work at the current wage but are not hired because their productivity is lower than the wage level. If firms have no institutional constraint on paying lower wages for the same job, an endogenous labour market segmentation emerges.     

Subsidizing low-skilled jobs in a dual labor market

We introduce a matching model that allows for classical and frictional unemployment. The labor market is dual featuring low-skilled and high-skilled workers and simple and complex jobs. Simple jobs pay a minimum wage, while wages in the complex jobs are determined by Nash bargaining. Opportunities for low-skilled workers are limited to simple jobs; while high-skilled unemployed can apply for both types of jobs, and thereby can accept to be downgraded. We analyze the outcomes of simple job subsidy policies assuming that government budget is balanced through taxes on occupied workers. We first give conditions for the existence and uniqueness of a steady-state equilibrium and we then analyze the effects of different fiscal instruments. We show that in this set-up, increasing simple job subsidies does not necessarily reduce low-skilled unemployment or unemployment spells. By introducing heterogeneous skills and possible downgrading of the high-skilled workers, we show that the effectiveness of such policies in reducing the classical unemployment is decreasing. In fact, any additional classical unemployed re-entering the job market is accompanied by an increasing number of high-skilled workers downgrading to low-skilled jobs. We calibrate the model on French labor market data. It is found that for five low-skilled workers leaving classical unemployment, two high-skilled workers are downgraded.     

Trip Chaining: Who Wins Who Loses?

This paper studies how trip chaining (combining commuting and shopping or commuting and child care) affects market competition: in particular, pricing and the equilibrium number of firms as well as welfare. We use a monopolistic competition framework, where firms sell differentiated products as well as offering differentiated jobs to households, who are all located at some distance from the firms. The symmetric equilibriums with and without the option of trip chaining are compared. We show analytically that introducing the trip chaining option reduces the profit margin of the firms in the short run, but increases welfare. The welfare gains are, however, smaller than the transport cost savings. In the free-entry long-run equilibrium, the number of firms decreases but welfare is higher. A numerical illustration gives orders of magnitude of the different effects.     

Simultaneous search with heterogeneous firms and ex post competition

In this paper we study the allocation of workers over high and low productivity firms in a labor market with coordination frictions. Specifically, we consider a search model where workers can apply to high and or low productivity firms. Firms that compete for the same candidate can increase their wage offers as often as they like. We show that if workers apply to two jobs, there is a unique symmetric equilibrium where workers mix between sending both applications to the high and sending both to the low productivity sector. But, efficiency requires that they apply to both sectors because a higher matching rate in the high-productivity sector can then be realized with fewer applications (and consequently fewer coordination frictions) if workers always accept the offer of the most productive firm. However, in the market the worker's payoff is determined by how much the firm with the second highest productivity is willing to bid. This is what prevents them from applying to both sectors. For many configurations, the equilibrium outcomes are the same under directed and random search so our results are not driven by random search. We discuss the effects of increasing the number of applications and show that our results can easily be generalized to N-firms.     

The effect of reimbursement of worker's transport costs: The case of urban areas in Japan

In some economies, workers are compensated for their commuting costs to the workplace. The spatial structure of an urban area is analyzed comparing a transport cost compensated system to one where expenses are borne by workers. Profit maximizing behavior by firms results in lower wages being paid in the city where transport costs are compensated. It is shown that worker renters achieve a higher level of utility in the area where transport costs are not compensated. Numerical examples are constructed using a range of parameter values which yields measures of the increase in spatial size of the city where transport costs are compensated. The loss in welfare is also evaluated.     

Optimal dividend policy with random interest rates

Several recent papers have studied the impact of macroeconomic shocks on the financial policies of firms. However, they only consider the case where these macroeconomic shocks affect the profitability of firms but not the financial markets conditions. We study the polar case where the profitability of firms is stationary, but interest rates and issuance costs are governed by an exogenous Markov chain. We characterize the optimal dividend policy and show that these two macroeconomic factors have opposing effects: all things being equal, firms distribute more dividends when interest rates are high and less when issuing costs are high.     

Household behavior under income uncertainty in a monocentric urban area

For a household living outside of but commuting to and from the CBD of an urban area and experiencing income uncertainty, housing consumption and location (distance from the CBD) are inversely related to the probability of unemployment and directly related to the level of unemployment compensation under fairly unrestrictive assumptions. Under more restrictive assumptions, it is found that these variables are inversely related to housing price and transportation costs. Finally, income compensation causes housing consumption and location to be directly related to the probability of unemployment and the level of unemployment compensation.     

A way of explaining unemployment through a wage-setting game

We investigate a duopsonistic wage-setting game in which the firms have a limited number of workplaces. We assume that the firms have heterogeneous productivity, that there are two types of workers with different reservation wages and that a worker's productivity is independent of his type. We show that equilibrium unemployment arises in the wage-setting game under certain conditions, although the efficient allocation of workers would result in full employment.     

Search frictions,real wage rigidities and the optimal design of unemployment insurance

In this paper, we study the optimal unemployment benefits financing scheme when the economy is subject to labor market imperfections characterized by real wage rigidities and search frictions. The US unemployment insurance financing is such that firms are taxed proportionately to their layoffs to finance unemployment benefits. Using DSGE methodology, we investigate how policy instruments should interact with labor market imperfections. It is shown that wage rigidities in a search and matching environment cause welfare costs, especially in the absence of an incentive-based unemployment insurance. This cost is mainly due to the distorting effect of wage rigidities which generate inefficient separations. We show that the optimal unemployment benefits financing scheme – corresponding to the Ramsey policy – offsets labor market imperfections and allows implementation of the Pareto allocation. The second-best allocation brings the economy close to the Ramsey allocation. The implementation of the optimal policies clearly highlights the role of labor market institutions for short-run stabilization.     

On-the-job search and cyclical unemployment: Crowding out vs. vacancy effects

Incorporating on-the-job search (OTJS) into a real business cycle model has been shown to increase the cyclical volatility of unemployment. Using a particularly simple model of OTJS, we show that the increased search of employed workers during expansions induces firms to open more vacancies, but also crowds out unemployed workers in the job search, resulting in an ambiguous overall effect on unemployment volatility. We show analytically and numerically that the difference between the employer׳s share of the match surplus with an employed versus an unemployed job seeker determines the degree to which OTJS increases unemployment volatility. We use this result to re-consider some related papers of OTJS and explain the amplification of volatility they obtain. Finally, we show that a plausible calibration of the OTJS model allows us to reproduce most significant features of the US labor data.     

Firms' investments in general training and the skilled labour market

An adverse selection model is analysed, where firms can train or hire a skilled worker. In equilibrium, the market wage is determined by supply and demand. The quality of the supplied skilled labour is negatively biased, because workers stem from firms that shut down and from firms that observed their trainee's bad quality during the training. If fewer firms were to shut down, then the supplied average quality deteriorates and the incentive to train increases. The incentive is inefficient, because firms must share the informational rent and they free-ride. Ex ante workers may wish to increase the firms' bargaining power.     

Differentiation-Induced Switching Costs and Poaching

We show that the presence of sufficiently significant switching costs, which are increasing in the degree of product differentiation, generates an equilibrium configuration with maximal differentiation within the framework of a Hotelling model with linear transportation costs. The equilibrium with maximal differentiation offers a formalization of the idea that competing firms have noncooperative incentives to establish maximal switching cost barriers. The equilibrium incentives for commitments to high switching costs can be explained with poaching profits, which are increasing in the switching costs. Ex ante competition for market shares in period 1 is unable to eliminate these poaching profits .     

Monetary Tightening and the Dynamics of US Race and Gender Stratification

This article explores the race and gender effects of monetary tightening in the US from 1979–2008 using state‐level panel data. Results indicate the costs of fighting inflation are unevenly distributed amongst workers, weighing more heavily on black females and black males, followed by white females, and lastly white males. We also find evidence that the relative unemployment costs of monetary tightening for subordinate groups vary with the black share of the population.