Mechanism design and bounded rationality: the case of type misreporting

In this paper we study the effects of bounded rationality in mechanism design problems. We model bounded rationality by assuming that in the presence of an incentive compatible mechanism, players behave as if their types were in a delta-neighborhood of their true types. In our results, we explore what are the effects of such bounded rationality in the outcomes of the mechanism design problem. To such end, we characterize the social choice functions that are robust to the delta-perturbations in the sense that the designers' loss is at most of order delta^k for a certain k. A notable finding is that in quasi-linear utilitarian environments the designer's loss is of order of delta^2. We illustrate the applicability of our results by means of examples.