What role do hierarchies play with respect to the organization of production and what determines their structure? We develop an equilibrium model of hierarchical organization, then provide empirical evidence using confidential data on thousands of law offices from the 1992 Census of Services. The driving force in the model is increasing returns in the utilization of acquired knowledge. We show how the equilibrium assignment of individuals to hierarchical positions varies with the degree to which their human capital is field-specialized, then show how this equilibrium changes with the extent of the market. We find empirical evidence consistent with a central proposition of the model: the share of lawyers that work in hierarchies and the ratio of associates to partners increases as market size increases and lawyers field-specialize. Other results provide evidence against alternative interpretations that emphasize unobserved differences in the distribution of demand or 'firm size effects,' and lend additional support to the view that a role hierarchies play in legal services is to help exploit increasing returns associated with the utilization of human capital.
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Specialization, Firms, and Markets: The Division of Labor Within and Between Law Firms
May 2003
Working Paper Number:
CES-03-13
What is the role of firms and markets in mediating the division of labor? This paper uses confidential microdata from the Census of Services to examine law firms' boundaries. We find that firms' field scope narrows as market size increases and individuals specialize, indicating that firms' boundaries reflect organizational trade-offs. Moreover, we find that whether the division of labor is mediated by firms differs systematically according to whether lawyers in a particular field are mainly involved in structuring transactions or in dispute resolution. Our evidence is consistent with hypotheses in which firms' boundaries reflect variation in the value of knowledge-sharing or in the costs of monitoring, but not in risk-sharing. Our findings show how the incentive trade-offs associated with exploiting increasing returns from specialization help lead the structure of the industry to be fragmented, but highly-skewed.
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The Return to Knowledge Hierarchies
January 2007
Working Paper Number:
CES-07-01
Hierarchies allow individuals to leverage their knowledge through others. time. This mechanism increases productivity and amplifies the impact of skill heterogeneity on earnings inequality. To quantify this effect, we analyze the earnings and organization of U.S. lawyers and use the equilibrium model of knowledge hierarchies in Garicano and Rossi-Hansberg (2006) to assess how much lawyers, productivity and the distribution of earnings across lawyers reflects lawyers. ability to organize problem-solving hierarchically. We analyze earnings, organizational, and assignment patterns and show that they are generally consistent with the main predictions of the model. We then use these data to estimate the model. Our estimates imply that hierarchical production leads to at least a 30% increase in production in this industry, relative to a situation where lawyers within the same office do not vertically specialize. We further find that it amplifies earnings inequality, increasing the ratio between the 95th and 50th percentiles from 3.7 to 4.8. We conclude that the impact of hierarchy on productivity and earnings distributions in this industry is substantial but not dramatic, reflecting the fact that the problems lawyers face are diverse and that the solutions tend to be customized.
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Earnings Inequality and Coordination Costs: Evidence from U.S. Law Firms
September 2009
Working Paper Number:
CES-09-24
Earnings inequality has increased substantially since the 1970s. Using evidence from confidential Census data on U.S. law offices on lawyers' organization and earnings, we study the extent to which the mechanism suggested by Lucas (1978) and Rosen (1982), a scale of operations effect linking spans of control and earnings inequality, is responsible for increases in inequality. We first show that earnings inequality among lawyers increased substantially between 1977 and 1992, and that the distribution of partner-associate ratios across offices changed in ways consistent with the hypothesis that coordination costs fell during this period. We then propose a 'hierarchical production function' in which output is the product of skill and time and estimate its parameters, applying insights from the equilibrium assignment literature. We find that coordination costs fell broadly and steadily during this period, so that hiring one's first associate leveraged a partner's skill by about 30% more in 1992 than 1977. We find also that changes in lawyers' hierarchical organization account for about 2/3 of the increase in earnings inequality among lawyers in the upper tail, but a much smaller share of the increase in inequality between lawyers in the upper tail and other lawyers. These findings indicate that new organizational efficiencies potentially explain increases in inequality, especially among individuals toward the top of the earnings distribution.
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Impacts of Central Business District Location: A Hedonic Analysis of Legal Service Establishments
July 2011
Working Paper Number:
CES-11-21
This analysis examines the business impacts on law firms of locating in Central Business Districts (CBDs) in major U.S. cities. Specifically, we measure the price premium that law firms pay to locate in CBDs. Using micro-level data from the 1992 and 2007 Census of Services, we find that after controlling for firm size, firm specialization characteristics, and MSA and county attributes, law firms within CBDs pay about 15 to 20 percent more in overhead compared to those firms outside CBDs ' a result consistent across time between 1992 and 2007. When including an important additional measure of firm quality, however, we find that this impact is reduced to about 7 to 9 percent, but still statistically significant. Additional results show that there is a significant correlation between firm quality and CBD location. We also find that firm size and firm specialization measures are important factors in the choice to locate within CBDs. We argue that these results indicate that CBD location for law firms may serve as networking, quality sorting, and branding mechanisms.
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Information Technology, Capabilities and Asset Ownership: Evidence from Taxicab Fleets
November 2009
Working Paper Number:
CES-09-39
We examine how information technology (IT) influences asset ownership through its impact on firms' and agents' capabilities. In particular, we propose that when IT is a substitute for agents' industry-specific human capital, IT adoption leads to increased vertical integration. We test this prediction using micro data on vehicle ownership patterns from the Economic Census during a period when computerized dispatching systems were first adopted by taxicab firms. The empirical tests exploit exogenous variation in local market conditions, to identify the impact of dispatching technology on firm asset ownership. The results show that firms increase the proportion of taxicabs owned by 12% when they adopt new computerized dispatching systems. The findings suggest that firms increasingly vertically integrate when they acquire resources that substitute for their agents' capabilities.
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Residual Claims and Incentives in Restaurant Chains
July 2006
Working Paper Number:
CES-06-18
I examine the relationship between ownership and production activities using a new dataset of restaurant chains. Production in restaurant chains provides an opportunity to examine the effects of residual claims on incentives because production is decentralized and fairly uniform across restaurants in the same chain. Yet the allocation of residual claims varies between company-owned and franchised units, affecting the strength of incentives for restaurantlevel activities. The decision to own or franchise each restaurant reflects the value of either withholding or allocating residual claims for performing these activities. I find that more complex production activities are systematically correlated with company ownership. Onsite food production raises the likelihood of company ownership by 28% relative to offsite food production. Table service raises the likelihood of company ownership by 26% relative to counter service. The results are not consistent with straightforward effort-promoting effects of residual claims in simple principal agent models. They are consistent with the view that residual claims can generate unbalanced incentives across diverse tasks.
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Delegation in Multi-Establishment Firms: The Organizational Structure of I.T. Purchasing Authority
October 2010
Working Paper Number:
CES-10-35
A rare large-scale empirical study of delegation within firms, this paper investigates how decision rights over information technology investments are allocated within multi-establishment firms. The core results indicate that a relatively high contribution to firm sales is highly correlated with authority being delegated to the local establishment. Firm-wide operational complexity and local information advantages are also associated with local discretion for IT purchases. Certain IT investments are also positively correlated with delegation. On the other hand, significant operational interdependencies evince a positive correlation with centralization, as do productive similarities among establishments. Surprisingly, absolute size of the firm and having a large IT budget are also correlated with centralized IT decision-making. With the exception of these latter effects, the results are consistent with models of organizational design that predict delegation where there is great demand for locally adapted choices and centralization where firm-wide coordination is most important. The findings document and make sense of widespread heterogeneity in decision rights across a range of firm and industry settings ' even among establishments belonging to the same parent firm. Finally, they suggest important considerations for future empirical and theoretical research into the determinants of delegation.
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The Spillover Effects of Top Income Inequality
June 2023
Working Paper Number:
CES-23-29
Top income inequality in the United States has increased considerably within occupations. This phenomenon has led to a search for a common explanation. We instead develop a theory where increases in income inequality originating within a few occupations can 'spill over' through consumption into others. We show theoretically that such spillovers occur when an occupation provides non divisible services to consumers, with physicians our prime example. Examining local income inequality across U.S. regions, the data suggest that such spillovers exist for physicians, dentists, and real estate agents. Estimated spillovers for other occupations are consistent with the predictions of our theory.
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Market Power And Wage Inequality
September 2022
Working Paper Number:
CES-22-37
We propose a theory of how market power affects wage inequality. We ask how goods and labor market power jointly affect the level of wages, the Skill Premium, and wage inequality. We then use detailed microdata from the US Census between 1997 and 2016 to estimate the parameters of labor supply, technology and the market structure. We find that a less competitive market structure lowers the wage level, contributes 7% to the rise in the Skill Premium and accounts for half of the increase in between-establishment wage variance.
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Entry, Exit, and the Determinants of Market Structure
September 2009
Working Paper Number:
CES-09-23
Market structure is determined by the entry and exit decisions of individual producers. These decisions are driven by expectations of future profits which, in turn, depend on the nature of competition within the market. In this paper we estimate a dynamic, structural model of entry and exit in an oligopolistic industry and use it to quantify the determinants of market structure and long-run firm values for two U.S. service industries, dentists and chiropractors. We find that entry costs faced by potential entrants, fixed costs faced by incumbent producers, and the toughness of short-run price competition are all important determinants of long run firm values and market structure. As the number of firms in the market increases, the value of continuing in the market and the value of entering the market both decline, the probability of exit rises, and the probability of entry declines. The magnitude of these effects differ substantially across markets due to differences in exogenous cost and demand factors and across the dentist and chiropractor industries. Simulations using the estimated model for the dentist industry show that pressure from both potential entrants and incumbent firms discipline long-run profits. We calculate that a seven percent reduction in the mean sunk entry cost would reduce a monopolist's long-run profits by the same amount as if the firm operated in a duopoly.
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