By identifying types whose low-order beliefs, up to level l(sub i), about the state of nature coincide, we obtain quotient type spaces that are typically smaller than the original ones, preserve basic topological properties, and allow standard equilibrium analysis even under bounded reasoning....

In this paper I consider games in which multiple informed principals simultaneously compete to influence the decisions of a common agent. I focus on the problem of characterizing the equilibrium outcomes of such games. I first show that, to solve this problem, one can invoke neither Myerson’s...

We consider full-truthfulNash implementation, which requires that truth telling by each agent should be a Nash equilibrium of a direct revelation mechanism, and that the set of Nash equilibriumoutcomes of the mechanismshould coincide with the f-optimal outcome. We showthat restricted...