Structural econometric methods that assume agents have rational expectations are often criticized. Yet, little is known about the relative costs and benefits of adopting alternative empirical strategies. This paper compares three procedures for inference about a single structural parameter using data from a laboratory price search experiment. Our novel experimental design induces preferences up to the subjective rate of time preference, leaving unrestricted only this parameter and the decision rule that subjects use in solving the search task. We analyze the experimental data under the assumptions of both rational expectations and heuristic behavior, and we also draw inferences using a simple revealed preference analysis that does not requi...