We study the role of timestamps in a dynamic disclosure game. At a random date, a sender privately obtains one piece of hard evidence about a hidden, evolving binary state and can disclose it at any later date. When evidence carries a timestamp, the unique equilibrium features immediate disclosure of good evidence and disclosure of bad evidence after a deterministic, timestamp-dependent delay. We also show that the principle of worst case beliefs conditional on nondisclosure holds in this timestamps setting. Without timestamps, if the prior is high or the sender is patient, equilibrium must feature delayed disclosure of good evidence, and we construct an equilibrium in which good evidence is initially delayed, then stochastically released, and eventually disclosed immediately. With an impatient sender, we construct an equilibrium in which bad evidence is disclosed with delay in isolated bursts. Timestamps prevent pretending old good evidence is fresh and allow proving bad evidence is old, thereby accelerating disclosure of good evidence and facilitating disclosure of bad evidence.
I study a dynamic disclosure game in which an agent controls the time window over which information flows to the decision maker, but does not control the content of that information. In equilibrium, the agent has incentives to delay the start of disclosure to continue to learn privately for some time. This delay exacerbates the information asymmetry between the agent and the decision maker as the agent is learning while the decision maker is not. This information asymmetry is then (partially) resolved during the disclosure window. The length of the disclosure window is determined by the degree of information asymmetry at the beginning of the window, with longer windows associated with greater information asymmetry.
I study a two-player continuous-time dynamic coordination game with observational learning. Each player has one opportunity to make a reversible investment with an uncertain return that is realized only when both players invest. Each player learns about the potential return by observing a private signal and the actions of the other player. In equilibrium, players' roles as leader and follower are endogenously determined. Information aggregates in a single burst initially, then gradually through delayed investment and disinvestment over time. More precise signals lead to faster coordination conditional on initial disagreement, but might also increase the probability of initial disagreement.
Journal of Institutional and Theoretical Economics, 2020, 176(1), 123-146
This paper examines the negligence standard in the presence of intervening causal factors. The court observes the evidence and assigns a probability to the intervening factor in the course of evaluating the injurer’s negligence. The court must, under the law, put a substantial weight on the facts in estimating the intervention probability. We allow the court to also put some weight on its own prior. Under such an adaptive approach to assessing negligence, incentives for care are affected by the court’s inference process in addition to the usual factors. Courts can generate efficient incentives for care through the choice of prior.
Topics in Game Theory (second-year PhD)
Advanced Microeconomic Theory (first-year PhD)
Game Theory (undergraduate)