This paper shows in two ways that the degree to which free-riding diminishes the performance of deterministic partnerships may be less than has been generally thought. First, a necessary and sufficient condition is provided for a partnership to sustain full efficiency. It implies that many non-trivial partnerships sustain efficiency, such as generic ones with finite action spaces, and neoclassical ones with Leontief technologies. Second, approximate efficiency is shown to be achievable in a large class of partnerships, including ones with smooth and monotonic production and disutility functions. Approximate efficiency is achieved by mixed-strategy equilibria: one partner takes, with small probability, an inefficient action. The degree to which efficiency is approximated is restricted only by the amount of liability the partners can bear. Nonetheless, their equilibrium payments are not arbitrarily large.

We study frictionless matching in large economies with and without market imperfections, providing sufficient conditions for monotone matching that are weaker than those previously known. Necessary conditions, which depend on a key analytical object we call the surplus function, are also offered. Changes in the surplus yield valuable information about the comparative statics of matching patterns across environments. We apply our framework to some examples adapted from the literature, accounting for and extending several comparative-static and welfare results. We also explore the dependence of the matching pattern on the type distribution.

This article presents a perfectly competitive model of firm boundary decisions and study their interplay with product demand, technology, and welfare. Integration is privately costly but is effective at coordinating production decisions; nonintegration is less costly but coordinates relatively poorly. Output price influences the choice of ownership structure: integration increases with the price level. At the same time, ownership affects output, because integration is more productive than nonintegration. For a generic set of demand functions, equilibrium delivers heterogeneity of ownership and performance among ex ante identical enterprises. The price mechanism transmutes demand shifts into industry-wide reorganizations and generates external effects from technological shocks: productivity changes in some firms may induce ownership changes in others. If the enterprise managers have full title to its revenues, market equilibrium ownership structures are second-best efficient. When managers have less than full revenue claims, equilibrium can be inefficient, with too little integration.

We present sufficient conditions for monotone matching in environments where utility is not fully transferable between partners. These conditions involve not only complementarity in types of the total payoff to a match, as in the transferable utility case, but also monotonicity in type of the degree of transferability between partners. We apply our conditions to study some models of risk sharing and incentive problems, deriving new results for predicted matching patterns in those contexts.

Members of a rock and roll band are endowed with different amounts of creativity. They match, compose songs, and share credit. The presence of more creative members increases the probability of success, but those more creative members may also claim a larger share of the pie. In our theoretical model, the nature of matching as well as the covariation between the probability of success and the allocation of credit among individual members are a function of the completeness of contracting. The data show that rock bands tend to enter into incomplete contracts and positive assortative matching.

We model technological progress as an external effect of organizational design, focusing on how factories, based on labor division, could spawn the Industrial Revolution. Dividing labor, as Adam Smith argued, facilitates invention by observers of production processes. However, entrepreneurs cannot internalize this benefit and choose labor division to facilitate monitoring. Equilibrium with few entrepreneurs features low wage shares, and high specialization, but a limited market for innovations. Conversely, with many entrepreneurs, there is a large market for innovation but little specialization because of high wage shares. Technological progress therefore occurs with a moderate scarcity of entrepreneurs. Institutional improvements affect growth ambiguously.