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Learning and Type Compatibility in Signaling Games

Econometrica 2018 86(4), 1215-1255 open access
Which equilibria will arise in signaling games depends on how the receiver interprets deviations from the path of play. We develop a micro-foundation for these off-path beliefs, and an associated equilibrium refinement, in a model where equilibrium arises through non-equilibrium learning by populations of patient and long-lived senders and receivers. In our model, young senders are uncertain about the prevailing distribution of play, so they rationally send out-of-equilibrium signals as experiments to learn about the behavior of the population of receivers. Differences in the payoff functions of the types of senders generate different incentives for these experiments. Using the Gittins index (Gittins (1979)), we characterize which sender types use each signal more often, leading to a constraint on the receiver's off-path beliefs based on “type compatibility” and hence a learning-based equilibrium selection. ©2018 The Econometric Society

A Theory of Income and Dividend Smoothing Based on Incumbency Rents

Journal of Political Economy 1995 103(1), 75-93
"Income smoothing" is the process of manipulating the time profile of earnings or earnings reports to make the reported income stream less variable. This paper builds a theory of income smoothing based on the managers' concern about keeping their position or avoiding interference, and on the idea that current performance receives more weight than past performance when one is assessing the future. When investment is added to the model, so that income reports and dividends can be set independently, we find that both dividends and income reports may be smoothed and that dividends may convey information not present in the income report.

Rules of Thumb for Social Learning

Journal of Political Economy 1993 101(4), 612-643
This paper studies agents who consider the experiences of their neighbors in deciding which of two technologies to use. We analyze two learning environments, one in which the same technology is optimal for all players and another in which each technology is better for some of them. In both environments, players use exogenously specified rules of thumb that ignore historical data but may incorporate a tendency to use the more popular technology. In some cases these naive rules can lead to fairly efficient decisions in the long run, but adjustment can be slow when a superior technology is first introduced.

Rational Expectations Business Cycles in Search Equilibrium

Journal of Political Economy 1989 97(3), 606-619
We examine the rational expectations equilibrium paths of the model of search and barter in Diamond's "Aggregate Demand Management in Search Equilibrium." For some initial positions, there are two equilibrium paths converging to different steady states, with the high-activity path Pareto-dominating the low-activity path. With some parameters there is also a continuum of equilibrium paths converging to another steady state. Moreover, there can be cycles that are equilibrium paths, even though the environment is stationary.

Advancing Beyond Advances in Behavioral Economics

Journal of Economic Literature 2006 44(3), 694-711
This essay discusses the field of behavioral economics, with a focus on the papers in Advances in Behavioral Economics. These papers show that there is a body of “behavioral facts” that is both economically significant and regular enough to be modeled. For the field to advance further, it should devote more attention to the foundations of its models, and develop unified explanations for a wider range of phenomena.

Preemption and Rent Equalization in the Adoption of New Technology

Review of Economic Studies 1985 52(3), 383
We study the adoption of a new technology to illustrate the effects of preemption in games of timing. We show that the threat of preemption equalizes rents in a duopoly, but that this result does not extend to the general oligopoly game. If the gain to preemption is sufficiently small, then the optimal symmetric outcome, which involves “late” adoption, is an equilibrium. This contrasts with Reinganum's result that in precommitment equilibria there must be “diffusion”. We develop a new and richer formalism for modeling games of timing, which permits a continuous-time representation of the limit of discrete-time mixed-strategy equilibria.

Sequential Bargaining with Incomplete Information

Review of Economic Studies 1983 50(2), 221
This paper describes a simple two-person, two-period bargaining game, and solves it using the concept of perfect Bayesian equilibrium, in which the actions of each player convey information which is used by his opponent. The paper examines the effects of changes in bargaining costs, the size of the “contract zone” and the length of the bargaining process on such aspects of the solution as the probability of impasse and the likelihood of concessions. The combination of information transfer and the lack of pre-commitment embodied in perfectness yields many surprising results. Common perceptions about the effects of parameter changes on bargaining processes are suspect, and should be checked in the particular game being discussed.