Sorting by search intensity

In this paper, I characterize matching in an on-the-job search model with endogenous search intensity, heterogeneous workers and firms, and match surplus is shared between workers and firms through bargaining. I provide proof of existence and uniqueness of steady state equilibrium. Given equally efficient matched and unmatched search, the worker skill conditional distribution of firm productivity over matches is stochastically increasing (decreasing) in worker skill if the production function is supermodular (submodular). I also show that this strong notion of sorting does not obtain everywhere for the firm productivity conditional match distribution.     

Search, mismatch and unemployment

This paper explores the efficiency of the equilibrium allocation in a matching model with heterogeneous workers and jobs. In the basic setup there are two types of workers with different skill levels. Both types can perform the simple tasks of unskilled jobs, while the complex tasks of skilled jobs require a high-ability worker. We demonstrate that the equilibrium outcome with random search and ex-post bargaining is never efficient. Under the Hosios condition, the average wage is correct, but bargaining compresses the wage distribution relative to workers’ shadow values. This feature distorts the relative profits of jobs, making it too attractive for firms to create skilled jobs. Furthermore, due to the low-skill premium, the high-ability workers may accept too many jobs. Finally, in an extension, we show that the introduction of separate markets for the two types of jobs is not sufficient to guarantee efficiency.     

Wage-Tenure Contracts in a Frictional Labour Market: Firms' Strategies for Recruitment and Retention

A common assumption in equilibrium search and matching models of the labour market is that each firm posts a wage, to be paid to any worker hired. This paper considers the implications of firms posting contracts , in a random matching model with on-the-job search. More complex contracts enable firms to address both recruitment and retention problems by, for example, increasing the wage with tenure. The effect on the labour market is to reduce turnover, below the level required for efficient matching of workers to firms.     

Wage and Technology Dispersion

This paper explains why firms with identical opportunities may use different technologies and offer different wages. Our key assumption is that workers must engage in costly search in order to gather information about jobs (Stigler (1961)). In equilibrium, some firms adopt high fixed cost, high productivity technologies, offer high wages, and fill job openings quickly. Other firms adopt less capital-intensive technologies and offer low wages, hiring mostly uninformed workers. In equilibrium, the amount of wage dispersion leaves workers indifferent about whether to gather information, and the fraction of informed workers leaves firms indifferent about their wage and technology choice. We show that worker search, which would appear to be a rent-seeking activity in partial equilibrium, may be efficiency-enhancing in general equilibrium.     

Performance Pay and Adverse Selection*

It is well known in personnel economics that firms may improve the quality of their workforce by offering performance pay. We analyze an equilibrium model where worker productivity is private information and show that the firms’ gain from worker self‐selection may not be matched by a corresponding social gain. In particular, the equilibrium incentive contracts are excessively high‐powered, thereby inducing the more productive workers to exert too much effort and increasing agency costs stemming from the misallocation of effort.     

Consumer search markets with costly revisits

This paper characterizes equilibrium outcomes in consumer search markets taking the cost of going back to stores already searched explicitly into account. We show that the optimal sequential search rule under costly revisits is very different from the traditional reservation price rule in that it is non-stationary and not independent of previously sampled prices. We explore the implications of costly revisits on market equilibrium in two celebrated search models. In the Wolinsky model, some consumers search beyond the first firm. In this class of models, costly revisits do make a substantive difference and their impact can be of the same order of magnitude as the initial search cost. In the Stahl oligopoly search model where consumers do not search beyond the first firm, there remains a unique symmetric equilibrium that has firms use pricing strategies that are identical to the perfect recall case.     

Endogenous information quality: A job-assignment application

This paper investigates the optimal acquisition of information in a model of job assignment within a firm. We consider a firm with two types of jobs, skilled and unskilled. The firm draws workers randomly from the general population, and a worker is either talented or untalented. Initially, a worker's productivity in the firm is unknown to the worker and the firm. Workers are equally productive in the unskilled job, but talented workers are more productive in the skilled job than in the unskilled job, and untalented workers are more productive in the unskilled job than in the skilled job. Before assigning a worker to a job, the firm can test whether the employee is talented, and the firm is able to choose the accuracy of this test. We assume that the cost of a test is increasing and convex in test accuracy. We show that (1) the accuracy of the firm's test increases with the cost of a mismatched worker; (2) increased optimism about the worker's ability need not lead to less rigorous testing; (3) the probability that a worker is assigned to the skilled job need not increase as the gain from assigning a talented worker to a skilled job increases, or the loss from assigning an untalented worker to a skilled job decreases, or the fraction of the population that is skilled increases; and (4) a longer testing period, allowing as many as two tests of workers, leads the firm to use a less expensive, and less accurate, test initially than when there is only one opportunity to gather information.     

Termination of dynamic contracts in an equilibrium labor market model

In an equilibrium model of the labor market, workers and firms enter into dynamic contracts that can potentially last forever, but are subject to optimal terminations. Upon termination, the firm hires a new worker, and the worker who is terminated receives a termination contract from the firm and is then free to go back to the labor market to seek new employment opportunities and enter into new dynamic contracts. The model permits only two types of equilibrium terminations that resemble, respectively, the two kinds of labor market separations that are typically observed in practice: involuntary layoffs and voluntary retirements. The model allows for the simultaneous determination of a large set of important labor market variables including equilibrium unemployment and labor force participation. An algorithm is formulated for computing the model's equilibria. I then simulate the model to show quantitatively that the model is consistent with a set of important stylized facts of the labor market.     

Labor force participation and the discouraged worker effect

This article analyzes labor force participation with particular reference to the discouraged worker effect. Discouraged workers are those who will search for work when the labor market is tight but do not search for work when the labor market is slack because they consider their chances of finding a suitable job too low. The theoretical point of departure is a search model where the worker evaluates the expected utility of searching for work and decides to participate in the labor market if the expected utility of search exceeds the utility of not working. From this framework, we derive an empirical model for the probability that the worker will be out of the labor force, unemployed, or employed. The model is estimated on a sample of married and cohabitating women in Norway covering the period from 1988 to 2008. The results show that the discouraged worker effect is substantial. On average, about one-third of those who are out of the labor force are discouraged, according to our analysis.     

Bargaining and Search with Incomplete Information about Outside Options

This paper considers a model of bargaining in which the seller makes offers and the buyer can search (at a cost) for an outside option; the outside option cannot be credibly communicated, and the seller's offer is recallable by the buyer for one period. There are essentially two equilibrium regimes. For sufficiently high search cost, the game ends immediately; otherwise the search occurs in equilibrium. Compared to the case where the buyer can communicate his outside option, the seller is worse off, and the game results in search for a smaller set of values of the search cost, i.e., less equilibrium delay.C72.     

DYNAMIC CONTRACTS WITH WORKER MOBILITY VIA DIRECTED ON‐THE‐JOB SEARCH

This article proposes a model with dynamic incentive contracts and on‐the‐job search in a frictional labor market. The optimal long‐term contract exhibits an increasing wage–tenure profile. With increasing wages, worker effort also increases with tenure. These two features imply that the probabilities of both voluntary and involuntary job separation decrease with both job tenure and the duration of employment. Given these results, workers experience differing labor market transitions—between employment, unemployment, and across different employers—and the equilibrium generates endogenous heterogeneity among ex ante homogeneous workers.     

Bargaining over a Menu of Wage Contracts

We investigate an infinite horizon bargaining problem in which a firm and a worker bargain over two dimensions, quality and wage. The worker has private information about his type. Only the uninformed firm makes an offer and it can offer a menu of quality-wage contracts instead of single one. We show that for all discount factors, the unique sequential equilibrium outcome is separating without delay; the firm separates the types of worker with a menu of contracts in the first period. Our result shows that in multi-dimensional bargaining, the "Coase Conjecture" holds in the sense that the game ends in the first period. But it fails in the sense that the uninformed party can preserve the entire bargaining power.     

WELFARE COST OF INFALTION IN A NEW KEYNESIAN MODEL

We study the welfare cost of inflation in a new Keynesian dynamic stochastic general equilibrium model. Nominal prices and wages are subjected to Taylor‐style adjustments in the benchmark model. We find that the welfare cost of inflation in a new Keynesian dynamic stochastic general equilibrium model is much higher than its counterpart in a real business cycle model. We also find that the welfare cost of inflation increases linearly with the inflation rate with the introduction of monopolistic competition but rises faster as the inflation rate increases with the introduction of nominal rigidity. Alternative price and wage setting schemes, such as Rotemberg and Calvo‐style adjustments would yield welfare costs of moderate inflation that are 2–10 times higher.     

The empirical content of the job search model: Labor mobility and wage distributions in Europe and the US

Job search models of the labor market hypothesize a very tight correspondence between the determinants of labor turnover and individual wage dynamics on one hand, and the determinants of wage dispersion on the other. This paper offers a systematic examination of whether this correspondence is present in the data by estimating a rudimentary partial equilibrium job search model on a 3-year panel of individual worker data covering 10 European countries and the U.S. We find that our basic job search model fits the data surprisingly well. This also allows us to point at a number of interesting empirical regularities about wage distributions. Our results suggest that cross-sectional data on individual wages contain the basic information needed to obtain a reliable measure of the “magnitude of labor market frictions”, as measured by a parameter of the canonical job search model. Finally, we use our results in a cross-country comparison of the intensity and nature of job-to-job turnover. We arrange countries into two different groups according to their turnover intensity. We further show that the nature of job-to-job turnover is very different between those two groups: Turnover is predominantly voluntary in low-turnover countries, whereas it is to a large extent involuntary in high-turnover countries.     

Taste-homogeneity of optimal jurisdictions in a Tiebout economy with crowding types and endogenous educational investment choices

We examine a local public goods economy with differentiated crowding. The main innovation is that we assume that the crowding effects of agents are a result of choices that agents make. For example, agents may be crowded (positively or negatively) by the skills that other members of their jurisdiction possess and these skills may be acquired through utility maximizing educational investment choices made in response to equilibrium wages and educational costs. In such an environment, we show that taste-homogeneous jurisdictions are optimal. This contrasts with results for both the standard differentiated crowding model and the crowding types model. We also show that the core and equilibrium are equivalent, and that decentralization is possible through anonymous prices having a structure similar to cost–share equilibrium prices.     

Search by committee

We consider the problem of sequential search when the decision to stop is made by a committee and show that a unique symmetric stationary equilibrium exists given a log concave distribution of rewards. We compare search by committee to the corresponding single-agent problem and show that committee members are less picky and more conservative than the single agent. We show how (i) increasing committee size holding the plurality fraction constant and (ii) increasing the plurality rule affect the equilibrium acceptance threshold and expected search duration. Finally, we show that unanimity is optimal if committee members are sufficiently patient.     

Unobserved Heterogeneity,Exit Rates,and Re‐Employment Wages

Exit rates from unemployment and re‐employment wages decline over a period of unemployment, after controlling for worker observable characteristics. We study the role of unobserved heterogeneity in an economy with asymmetric information and directed search. We show that the unique equilibrium is separating and that skilled workers have more job opportunities and higher wages. The composition of the unemployed varies with the duration of unemployment, so average exit rates and wages fall with time. The separating equilibrium relies on performance‐related pay schemes and the ability of firms to commit to renting an input that is complementary to worker skills.     

On-the-job search and strategic bargaining

This paper studies wage bargaining in a simple economy in which both employed and unemployed workers search for better jobs. The axiomatic Nash bargaining solution and standard strategic bargaining solutions are inapplicable because the set of feasible payoffs is nonconvex. I instead develop a strategic model of wage bargaining between a single worker and firm that is applicable to such an environment. I show that if workers and firms are homogeneous, there are market equilibria with a continuous wage distribution in which identical firms bargain to different wages, each of which is a subgame perfect equilibrium of the bargaining game. If firms are heterogeneous, I characterize market equilibria in which more productive firms pay higher wages. I compare the quantitative predictions of this model with Burdett and Mortensen's [1998. Wage differentials, employer size and unemployment. International Economic Review 39, 257-273.] wage posting model and argue that the bargaining model is theoretically more appealing along important dimensions.     

Search and endogenous concentration of liquidity in asset markets

We develop a search-based model of asset trading, in which investors of different horizons can invest in two assets with identical payoffs. The asset markets are partially segmented: buyers can search for only one asset, but can decide which one. We show the existence of a “clientele’’ equilibrium where all short-horizon investors search for the same asset. This asset has more buyers and sellers, lower search times, and trades at a higher price relative to its identical-payoff counterpart. The clientele equilibrium dominates the one where all investor types split equally across assets, implying that the concentration of liquidity is socially desirable.     

Bargaining, binding contracts, and competitive wages

In a model where many workers bargain with one firm and sign binding contracts, we show existence of a stationary subgame perfect equilibrium. If the production function satisfies decreasing returns, each worker receives a share of his marginal product (treating all other workers as employed) in equilibrium. Thus, wages are competitive. This is in contrast to Stole and Zweibel (1996, Rev. Econ. Stud. 63, 375–410), who assume that contracts are non-binding and find that the payoff of a worker is a weighted average of the inframarginal contributions. Hence, binding contracts imply lower wages than non-binding contracts.