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Stochastic Monotonicity and Stationary Distributions for Dynamic Economies

Econometrica 1992 60(6), 1387
The existence and stability of invariant distributions for stochastically monotone processes is studied. The Knaster-Tarski fixed point theorem is applied to establish existence of fixed points of mappings on compact sets of measures that are increasing with respect to a stochastic ordering. Global convergence of a monotone Markov process to its unique invariant distribution is established.under an easily verified assumption. Topkis's theory of supermodular functions is applied to stochastic dynamic optimization, providing conditions under which optimal stationary decisions are monotone functions of the state and induce a monotone Markov process. Applications of these results to investment theory, stochastic growth and industry equilibrium dynamics are given. Copyright 1992 by The Econometric Society.

Efficiency Bounds for Semiparametric Regression

Econometrica 1992 60(3), 567
Efficiency bounds for conditional moment restrictions with a nonparametric component are derived. There is a given function of the data (a random sample from a distribution F) and a parameter. The restriction is that a conditional expectation of this function is zero at some point in the parameter space. The parameter has two parts: a finite-dimensional component and a general function evaluated at a subset of the conditioning variables. An example is a regression function that is additive in parametric and nonparametric component, as arises in sample selection models. Copyright 1992 by The Econometric Society.

Market for Information: Experimental Evidence

Econometrica 1992 60(3), 667
Predictions of the noisy rational expectations equilibrium (REE) model are found to be relatively accurate for both asset and information markets in the laboratory. When information about an asset's uncertain dividend is sold to a fixed number of highest bidders, prices, allocations, efficiency, and distribution of profit predictions of the full revelation REE model in the asset market dominate the predictions of the Walrasian model; demand for information shifts to the left and its price declines close to zero. When the price of information is fixed at a relatively high level, the number of informed agents and the informativeness of the asset market tends to adjust to permit the informed agents to recover their investment in information.

Backward Induction, Normal Form Perfection and Explicable Equilibria

Econometrica 1992 60(3), 627
A weakening of D. Kreps and R. Wilson's (1982) notion of sequential rationality is presented. The motivation stems from the difficulty in justifying sequentially rational behavior in subgames reachable only through a violation of sequential rationality. Although the present notion of weak sequential rationality is based upon extensive form considerations, it bears a close relation to R. Selten's (1975) normal form perfect equilibria. Backward induction outcomes can be achieved in generic games of perfect information with additional restrictions on beliefs. An example with imperfect information shows that sequential rationality is not the consequence of equilibrium play and the absence of incredible threats. Copyright 1992 by The Econometric Society.

Multi-Period Competition with Switching Costs

Econometrica 1992 60(3), 651
The authors analyze the evolution of duopolists' prices and market shares in an infinite-period market with consumer switching costs in which in every period new consumers arrive and a fraction of old consumers leaves. They show prices (and profits) are higher than without switching costs and that this result does not depend importantly on their specific assumptions. The authors show switching costs make the market more attractive to a new entrant, even though an entrant must overcome the disadvantage that a large fraction of the market is already committed to the incumbent's product. They also examine the effects of market growth. Copyright 1992 by The Econometric Society.

Entry, Exit, and firm Dynamics in Long Run Equilibrium

Econometrica 1992 60(5), 1127
A dynamic stochastic model for a competitive industry is developed in which entry, exit, and the growth of firms' output and employment is determined. The paper extends long-run industry equilibrium theory to account for entry, exit, and heterogeneity in the size and growth rate of firms. Conditions under which there is entry and exit in the long run are developed. Cross sectional implications and distributions of profits and value of firms are derived. Comparative statics on the equilibrium size distribution and turnover rates are analyzed. Copyright 1992 by The Econometric Society.