We explore the conditions under which the "first-order approach" (FO approach) can be used to characterize profit maximizing contracts in dynamic principalagent models. The FO approach works when the resulting FO-optimal contract satisfies a particularly strong form of monotonicity in types, a condition that is satisfied in most of the solved examples studied in the literature. The main result of our paper is to show that except for nongeneric choices of the stochastic process governing the types' evolution, monotonicity and, more generally, incentive compatibility are necessarily violated by the FO-optimal contract if the frequency of interactions is sufficiently high (or, equivalently, if the discount factor, time horizon, and persistence in types are sufficiently large). This suggests that the applicability of the FO approach is problematic in environments in which expected continuation values are important relative to per period payoffs. We also present conditions under which a class of incentive compatible contracts that can be easily characterized is approximately optimal.
India’s sequencing of economic and political development has been unusual. In contrast to the West and more recently East Asia, democratization has preceded economic growth. Notwithstanding its unique path, India has grown substantially over the last four decades, pulling hundreds of millions out of poverty. The pace, durability, and stability of economic growth has been matched by few countries in the post-war period. This dynamism, though, has not been matched by development in several dimensions: a structural transformation that has skipped high-productivity manufacturing despite surplus labor, an increased spatial divergence in income despite integration in internal markets, limited convergence in education and other social metrics across castes but divergence across religions, a deep societal preference for sons that is associated with poor outcomes for women and high levels of stunting amongst children, and an environmental degradation that is severe for its level of income. The paper speculates on two immediate challenges: reviving dynamism when human capital development remains weak and the financial system is impaired and accelerating development when state capacity remains limited.
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