Aphorisms that 'rising tides raise all boats' or that material advances of the rich eventually 'trickle down' to the poor are really maxims regarding the nature of stochastic processes that underlay the income/wellbeing paths of groups of individuals. This paper looks at the implications for the...

Aphorisms that 'rising tides raise all boats' or that material advances of the rich eventually 'trickle down' to the poor are really maxims regarding the nature of stochastic processes that underlay the income/wellbeing paths of groups of individuals. This paper looks at the implications for the...

Bayesian Statisticians, decision theorists, and game theorists often use Bayesian representations to describe the probability distribution governing the evolution of a stochastic process. Generally, however, one given distribution has infinitely many different Bayesian representations. This...

We analyze in this chapter decision-making when costs and benefits of an action are uncertain, that is, when future preferences are uncertain. We begin, in Section 2, with the classical analysis by Krutilla et al. (1972) of whether the expected consumer's surplus is a correct measure of the net...

We examine the design of incentive-compatible screening mechanisms for dynamic environments in which the agents' types follow a (possibly non-Markov) stochastic process, decisions may be made over time and may affect the type process, and payoffs need not be time-separable. We derive a formula...

These notes examine the problem of how to extend envelope theorems to infinite-horizon dynamic mechanism design settings, with an application to the design of bandit auctions.

This paper examines the problem of how to design incentive-compatible mechanisms in environments in which the agents' private information evolves stochastically over time and in which decisions have to be made in each period. The environments we consider are fairly general in that the agents'...