These lectures are meant to familiarize the audience with some of the fundamental results in the theory of implementation and provide a quick progression to some open questions in the literature.

The science of social networks is a central field of sociological study, a major application of random graph theory, and an emerging area of study by economists, statistical physicists and computer scientists. While these literatures are (slowly) becoming aware of each other, and on occasion...

We examine a legislative voting game where decisions are being made over both ideological and distributive dimensions, and legislators' preferences are separable over the two dimensions. In equilibrium legislators prefer to make proposals for the two dimensions together, rather than offering...

We build a model where an individual sees higher returns to investments in human capital when their neighbors in a social network have higher levels of human capital. We show that the correlation of human capital across generations of a given family is directly related to the sensitivity of...

We examine Nash implementation when individuals cannot be forced to accept the outcome of a mechanism. Two approaches are studied. The first approach is static where a state-contingent participation constraint de nes an implicit mapping from rejected outcomes into outcomes that are individually...