Macroeconomic coordination failure under oligempory

Summary. Each sector of a multi-sector overlapping generations model is an oligempory with a given number of firms, oligopsonists in the sectoral (spatially differentiated) labour market and oligopolists in the sectoral (homogeneous) output market. When there is aggregate unemployment, and a firm raises wages beyond the local full employment level acquiring labour from neighbours, sectoral output supply becomes constant and the firm faces a flat output demand curve under constant returns to labour (upward sloping under decreasing returns). Multiple temporary equilibria and Pareto-ranked steady-state equilibria emerge; the associated sunspot equilibria exhibit counter-cyclical markups, inter alia. Received: February 28, 2000; revised version: March 16, 2001     

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.     

PRECAUTIONARY DEMAND FOR LABOUR AND FIRM SIZE

This paper studies firms' job creation decisions in a labour market with search frictions. A simple labour market search model is developed in which a firm can search for a second employee while producing with a first worker, and this creates the equilibrium size distribution of firms. A firm expands employment even if the instantaneous payoff to a large firm is less than that of staying small – a firm has a precautionary motive to expand its size. In addition, this motive is enhanced by a greater market tightness. Because of this effect, firms’ decisions become interdependent – a firm creates a vacancy if it expects other firms to do the same, creating strategic complementarity among firms and thereby self‐fulfilling multiple equilibria. An increase in productivity can cause a qualitative change in labour market tightness and the rate of unemployment.     

The Impact of Unionization Structures with Heterogeneous Firms and Rent‐Sharing Motives

How are unemployment and output affected if wages are set on the sector level rather than firm level? We take a new look at this question, allowing for heterogeneous firms and rent‐sharing motives. Without these motives, employment and output are lower under sector‐level wage‐setting due to higher wage markups. With rent‐sharing motives, however, firm selection is higher under sector‐level wage‐setting, which tends to increase employment and output, thus counteracting the markup effect. Simulations show that the firm‐selection effect decreases the difference between the two unionization structures substantially but it does not change the signs of the effects on output and employment.     

Flexible and Committed Profit Sharing with Wage Bargaining: Implications for Equilibrium Unemployment

We analyze the relationship between profit sharing, employee effort, wage formation and unemployment under different relative timings of the wage and profit sharing decisions. The optimal profit share under commitment exceeds that under flexibility, because through a profit share commitment the firm can induce wage moderation. The negotiated profit sharing depends positively on the bargaining power of trade union and it has both effort-enhancing and wage-moderating effects. Higher profit sharing is shown to reduce equilibrium unemployment under ``sufficiently rigid' labor market institutions, but it can harm employment when labor market ``rigidities' are ``small enough'.     

Corporate profit tax,firm entry with unemployment,and income inequality

In this paper, we provide a general equilibrium analysis of corporate profit tax on income distribution, unemployment, and wage inequality. With firm dynamics in industrial sector, we identify a new channel through which profit tax affects income and wage inequality: profit tax cut will widen not only the wage gap between skilled and unskilled labor, but also exacerbate the wage inequality of unskilled labor among different sectors. The welfare effect of profit tax cut depends on unemployment deepening (labor-distortion effect) and more manufacturing firms enter the market (business-creation effect), eroding the market share of incumbent firms (business-stealing effect).     

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.     

TRAINING,TURNOVER, AND SEARCH*

This article explores a model of firm‐specific training in a job search environment with labor turnover. The main substantive finding is a positive association between training and wages (when dispersed). The article then precisely characterizes how both wage dispersion and firm profitability depend on the flow value b≥ 0 of workers' unmatched time. It is shown that: (i) for all high values b, no equilibrium exists; (ii) for intermediate values b, multiple equilibria arise, where firms earn zero profits, and choose from a general wage distribution; (iii) for all lower values b, there is a unique equilibrium, with firms earning positive profits, and choosing from an atomless set of wages.     

Excess supply equilibria

This paper addresses a fundamental problem in economic theory: How can there be equilibria of the economic system where some commodity is in excess supply, yet that commodity's relative price shows no tendency to fall? Of course, the principal example of such a phenomenon is an economy experiencing a prolonged period of involuntary unemployment of the labor force during which there is no significant change in the real wage.In the following pages, I shall describe a two-commodity, general equilibrium model that has a continuum of unemployment equilibria, one for any given unemployment rate. The important feature of this model is that workers establish their wage rates in an attempt to maximize expected utility. The information upon which these wage setting decisions are based is provided by actual labor market transactions.Despite the voluntary nature of the wage setting decision, I shall argue that each equilibrium of this economy exhibits involuntary unemployment in the Keynesian sense. For there will always be another equilibrium with a lower real wage, a higher level of employment, and at which (at least when workers are risk neutral) each worker achieves a higher level of expected utility.     

The Choice of Technology and Equilibrium Wage Rigidity

In this general equilibrium model, firms engage in oligopolistic competition and choose increasing returns technologies to maximize profits. Capital and labor are the two factors of production. The existence of efficiency wages leads to unemployment. The model is able to explain some interesting observations of the labor market. First, even though there is neither long-term labor contract nor costs of wage adjustment, wage rigidity is an equilibrium phenomenon: an increase in the exogenous job separation rate, the size of the population, the cost of exerting effort, and the probability that shirking is detected will not change the equilibrium wage rate. Second, the equilibrium wage rate increases with the level of capital stock. Third, a higher level of capital stock does not necessarily reduce the unemployment rate. That is, there is no monotonic relationship between capital accumulation and the unemployment rate.     

Employee share ownership in a unionised duopoly

Profit sharing schemes have been analysed assuming Cournot competition and decentralised wage negotiations, and it has been found that firms share profits in equilibrium. This paper analyses a different remuneration system: employee share ownership. We find that whether firms choose to share ownership or not depends on both the type of competition in the product market and the way in which workers organise to negotiate wages. If wage setting is decentralised, under duopolistic Cournot competition both firms share ownership. If wage setting is centralised, only one firm shares ownership if the degree to which goods are substitutes takes an intermediate value; otherwise, the two firms share ownership. In this case, if the union sets the same wage for all workers neither firm shares ownership. Therefore, centralised wage setting discourages share ownership. Finally, under Bertrand competition neither firm shares ownership regardless of how workers are organised to negotiate wages.     

Wage bargaining and turnover costs with heterogenous labor and perfect history screening

We study effects of mobility costs in a model of (Nash) wage bargaining between workers and firms, with instantaneous matching, heterogeneous workers, identical firms and free firm entry, and where firms can screen workers perfectly according to their previous work history but not their actual productivity. We derive the employment level and the minimum worker quality standard, in the market solution, and in the efficient solution established by a social planner. When workers have positive bargaining power, there is always some inefficient unemployment among desired workers in the market solution. The lowest hiring standard chosen by firms is higher than the planner's standard when firing costs are high relative to hiring costs, but may be lower in the opposite case. We show that any higher established hiring standard corresponds to a market equilibrium. The model explains a tendency for a high initial unemployment rate to remain high, particularly for low-skilled workers.     

The Choice of Technology and Rural-Urban Migration in Economic Development

This paper studies a general equilibrium model of rural-urban migration in which manufacturing firms engage in oligopolistic competition and choose increasing returns technologies to maximize profits. Urban residents incur commuting costs to work in the Central Business District. Surprisingly a change in the size of the population or an increase in the exogenously given wage rate will not affect a manufacturing firm’s choice of technology. This helps to explain why firms in developing countries may not adopt labor intensive technologies even under abundant labor supply. An increase in the number of manufacturing firms increases both the employment rate and the level of employment in the manufacturing sector. However, manufacturing firms choose less advanced technologies. Capital accumulation leads manufacturing firms to choose more advanced technologies, but may not increase employment in the manufacturing sector.     

Unemployment and product market competition in a Cournot model with efficiency wages

This paper analyzes the impact of product market competition on unemployment, wage and welfare in a model where unemployment is caused by the efficiency wage consideration and oligopolistic firms compete in quantity. It is shown that while more intense competition in the product market increases output and reduces price, it does not necessarily lead to a lower unemployment rate or a higher wage for workers. Depending on the technologies, the relationship between the intensity of competition and the level of employment (respectively, wage, welfare) is not always monotonic, and, in some instances, has an inverted U‐shape.     

The impact of trade on employment,welfare, and income distribution in unionized general oligopolistic equilibrium

This paper sets up a multi-sector general oligopolistic equilibrium trade model in which all firms face wage claims of firm-level unions. By accounting for productivity differences across industries, the model features income inequality along multiple lines, including inequality between firm owners and workers as well as within these two groups of agents, and involuntary unemployment. We use this setting to study the impact of trade liberalization on key macroeconomic performance measures. In particular, we show that a movement from autarky to free trade with a fully symmetric partner country lowers union wage claims and therefore stimulates employment and raises welfare. Whether firms can extract a larger share of rents in the open economy depends on the competitive environment in the product market. Furthermore, the distribution of profit income across firm owners remains unaffected, while the distribution of wage income becomes more equal when a country opens up to trade with a fully symmetric trading partner. We also analyze how country size differences and technological dissimilarity of trading partners affect the results from our analysis.     

Keynesian unemployment as a nash equilibrium with endogenous wage/price setting: An example

A simple 3 good, 1 consumer, 1 firm model of fixed price, quantity constrained equilibrium is developed. A game is then defined on the set of (globally unique) equilibria. The consumer sets the money wage, the firm sets the money price of output (money is numeraire). Nash solutions of the game exist and may involve Keynesian unemployment but never involve Classical unemployment or Repressed inflation.     

Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility

This paper presents a model of stochastic oligopoly with demand uncertainty where firms endogenously choose entry timing. We examine two extreme types of market structure and show that the equilibrium correspondence that connects them is continous. With two identically sized firms, there are symmetric, Cournot type equilibria where the probability of early entry declines with greater uncertainty, and for low uncertainty two asymmetric equilibria. With one large firm with a continuum of nonatomic firms, there is a unique Stackelberg equilibrium. We conclude that the behavior of a dominant firm with a finite fringe can be approximated by Stackelberg equilibrium.Journal of Economic LiteratureClassification Numbers?: D21, L11.     

Wage/tenure contracts with heterogeneous firms

This paper investigates equilibria where firms post wage/tenure contracts and risk averse workers search for new job opportunities whether employed or unemployed. We generalize previous work by assuming firms have different productivities. Equilibrium implies more productive firms always offer more desirable contracts. Thus workers never quit from more productive firms for less productive firms. Nevertheless turnover is inefficient as employees with long tenures at low productivity firms may reject outside job offers from more productive firms. A worker who quits to a more productive firm may accept a wage cut. Such wage cuts are compensated by faster “promotion” rates to higher wage levels in the future. We also generalize previous arguments by showing equilibria exist where the distribution of offers contains interior mass points and find equilibrium wage/tenure contracts need not be smooth.     

Unemployment and Economic Integration for Developing Countries

While financial or trade integration between countries may increase the size of the market and aid the adoption of more advanced technologies, will it also increase the level of urban unemployment for a developing country? In this model, there is unemployment in the urban sector. Manufacturing firms engage in oligopolistic competition and choose increasing returns technologies to maximize profits. Financial firms provide capital to manufacturing firms and they also engage in oligopolistic competition. We show that an increase in the wage rate in the manufacturing sector changes neither the level of technology nor the level of employment in the manufacturing sector. While financial or trade integration between developing countries leads manufacturing firms to adopt more advanced technologies, the level and rate of employment in the manufacturing sector will not deteriorate.     

Public firms' merger,employment, and welfare in developing countries: A general equilibrium analysis

This paper examines the effect of a merger of state‐owned firms on wage gap, employment, and social welfare in a general equilibrium setting. For a developing economy with state‐owned firms in the urban sector, a merger via a reduction in the number of the urban state‐owned firms can reduce the cost of capital. It then lowers the skilled wage rate through the factor‐substitution effect, while it raises the unskilled wage by the inflow of capital to the rural sector and hence lowers urban unemployment. In addition, the reduction in the number of the urban state‐owned firms can yield a scale effect to the firms. The beneficial effects on higher urban output and less urban unemployment can improve social welfare of the developing economy.