This paper characterizes the optimal first-price auction (FPA) and second-price auction (SPA) for selling rights, contracts, or licenses that involve ensuing payoff uncertainty for the winning bidder. The distribution of the random payoff is common knowledge, except that bidders have private...

The Lucas (1978) Tree Model lies at the heart of modern macro-finance. At its core, it provides an analysis of the equilibrium price of a long-lived asset in an exchange economy where consumption is the objective, and the sole purpose of the asset is to smooth consumption through time....